# MAH-CET MBA Mock Test- 5

## 200 Questions MCQ Test Mock Test Series for MAH-CET MBA | MAH-CET MBA Mock Test- 5

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Attempt MAH-CET MBA Mock Test- 5 | 200 questions in 150 minutes | Mock test for CAT preparation | Free important questions MCQ to study Mock Test Series for MAH-CET MBA for CAT Exam | Download free PDF with solutions
QUESTION: 1

### Kailash faces towards north. Turning to his right, he walks 25 metres. He then turns to his left and walks 35 metres. Next, he moves 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he from his starting point?

Solution: hence, he is south-east direction from his starting point

QUESTION: 2

### In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts.Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.Statements:All ducks are labs.No lab is a four.Some fours are pockets.All pockets are legs.Conclusions:I. All ducks being legs is a possibility.II. Some pockets are ducks.III. Some labs are ducks.IV. No pocket is a duck.

Solution: We may have the below possible cases

Case I: Some pockets are ducks.

Case II: No pocket is a duck.

Thus conclusions I and III and either II or IV follows

QUESTION: 3

### Direction: In the following question three statements are given and these statements are followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements.Statements:Some whistles are mice.Some mice are lions.Some lions are cavesConclusions:I. Some caves are mice.II. All whistles are caves.

Solution: The least possible Venn diagram for the above statements is as follows

Conclusions:

I. Some caves are mice → False (Some caves are mice is a possibility but not definite)

II. All whistles are caves → False (All whistles are caves is a possibility but not definite)

Therefore, none of the conclusions follows.

Hence, the correct option is (D).

QUESTION: 4

Five children sat for an aptitude test. In the result report, it was noted that child A scored less marks than child B. Child C scored less marks than child D . Child B scored less marks than child C and child A scored more marks than child E.

If the children are arranged in ascending order as per their marks then which child will be second from the left?

Solution: According to question,

B > A

D > C

C > B

A > E

D > C > B > A > E

In ascending order, E < A < B < C < D

Child A will be 2nd from the left.

Hence, the correct option is (B).

QUESTION: 5

In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts.

Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

All flowers are jacks.

All jacks are jars.

Some jars are spurs.

All spurs are twos.

Conclusions:

I. Some spurs are jacks.

II. Some spurs are flowers.

III. At least some twos are jars.

IV. Some twos being flowers is a possibility.

Solution: A possible representation is

Some twos are jars while some twos being flowers is a possibility.

QUESTION: 6

Direction: Study the following information carefully and answer the question given below.

8 friends-P, Q, R, S, T, U, V, and W have taken floors on rent in a building that has 4 floors (1-4). Consider as 1st floor is the ground floor. Each floor is occupied with at least one person and not more than three persons. No two consecutive floors have the same number of occupants. The number of people staying on the odd number of floors is an odd number but the number of people on both the floors is different numbers. The number of people living on the floor of R is the same as that of S. S lives on a floor higher compared to R. P lives on a floor higher compared to W but a lower floor compared to T. P doesn’t live on an even-numbered floor. U doesn’t live on the same floor with R also not with P. V lives on a floor higher compared to U. Q and U do not live on the same floor.

Who among the following lives just below W’s floor?

Solution: The final arrangement is

Hence, the correct option is (D).

QUESTION: 7

Direction: Study the following information carefully and answer the question given below.

8 friends-P, Q, R, S, T, U, V, and W have taken floors on rent in a building that has 4 floors (1-4). Consider as 1st floor is the ground floor. Each floor is occupied with at least one person and not more than three persons. No two consecutive floors have the same number of occupants. The number of people staying on the odd number of floors is an odd number but the number of people on both the floors is different numbers. The number of people living on the floor of R is the same as that of S. S lives on a floor higher compared to R. P lives on a floor higher compared to W but a lower floor compared to T. P doesn’t live on an even-numbered floor. U doesn’t live on the same floor with R also not with P. V lives on a floor higher compared to U. Q and U do not live on the same floor.

Which of the following group live together?

Solution: The final arrangement is

Hence, the correct option is (B).

QUESTION: 8

Direction: Study the following information carefully and answer the question given below.

8 friends-P, Q, R, S, T, U, V, and W have taken floors on rent in a building that has 4 floors (1-4). Consider as 1st floor is the ground floor. Each floor is occupied with at least one person and not more than three persons. No two consecutive floors have the same number of occupants. The number of people staying on the odd number of floors is an odd number but the number of people on both the floors is different numbers. The number of people living on the floor of R is the same as that of S. S lives on a floor higher compared to R. P lives on a floor higher compared to W but a lower floor compared to T. P doesn’t live on an even-numbered floor. U doesn’t live on the same floor with R also not with P. V lives on a floor higher compared to U. Q and U do not live on the same floor.

Which of the following does not belong to the group?

Solution: The final arrangement is

Hence, the correct option is (A).

QUESTION: 9

Direction: Study the following information carefully and answer the question given below.

8 friends-P, Q, R, S, T, U, V, and W have taken floors on rent in a building that has 4 floors (1-4). Consider as 1st floor is the ground floor. Each floor is occupied with at least one person and not more than three persons. No two consecutive floors have the same number of occupants. The number of people staying on the odd number of floors is an odd number but the number of people on both the floors is different numbers. The number of people living on the floor of R is the same as that of S. S lives on a floor higher compared to R. P lives on a floor higher compared to W but a lower floor compared to T. P doesn’t live on an even-numbered floor. U doesn’t live on the same floor with R also not with P. V lives on a floor higher compared to U. Q and U do not live on the same floor.

Who among the following lives with R?

Solution: The final arrangement is

Hence, the correct option is (A).

QUESTION: 10

Direction: Study the following information carefully and answer the question given below.

8 friends-P, Q, R, S, T, U, V, and W have taken floors on rent in a building that has 4 floors (1-4). Consider as 1st floor is the ground floor. Each floor is occupied with at least one person and not more than three persons. No two consecutive floors have the same number of occupants. The number of people staying on the odd number of floors is an odd number but the number of people on both the floors is different numbers. The number of people living on the floor of R is the same as that of S. S lives on a floor higher compared to R. P lives on a floor higher compared to W but a lower floor compared to T. P doesn’t live on an even-numbered floor. U doesn’t live on the same floor with R also not with P. V lives on a floor higher compared to U. Q and U do not live on the same floor.

How many persons live on the 3rd floor?

Solution: The final arrangement is

Hence, the correct option is (C).

QUESTION: 11

If all the letters of the word 'WATERING' are arranged in alphabetical order from left to right, then which of the following letter will be the fourth element from the right end?

Solution: Given the word is,

Letters are then arranged in alphabetical order from left to right,

Therefore N will be the fourth element from the right end.

Hence, the correct option is (D).

QUESTION: 12

Directions [Set of 5 questions]: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and various steps of rearrangement.

INPUT: 56 papaya 91 kiwi 33 soya apple 42 16 mango

Step I: 16 56 papaya 91 kiwi 33 soya apple 42 mango

Step II:16 56 papaya 91 kiwi 33 soya 42 mango apple

Step III:16 42 56 papaya 91 kiwi 33soya mango apple

Step IV: 16 42 56 papaya 91 33 soya mango apple kiwi

Step V: 16 42 56 33 papaya 91 soya mango apple kiwi

Step VI: 16 42 56 33 papaya 91 soya apple kiwi mango

Step VII: 16 42 56 33 91 papaya soya apple kiwi mango

Step VIII: 16 42 56 33 91 soya apple kiwi mango papaya

Step IX: 16 42 56 33 91 apple kiwi mango papaya soya

As per the rules followed in above steps, answer the questions for the following input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

How many total steps are there for the given input?

Solution: As per the given input, we can observe in the last step that

The even numbers are arranged in ascending order and after that the odd numbers are arranged in ascending order.

The words are arranged in alphabetical order of dictionary.

In each step, one element is moving with mumbers moving to the left and words moving to the right and so on.

So, for the given input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

Step I:34 Gold 88 silver bronze 53 iron 17 lead 68 31 nickel

Step II: 34 Gold 88 silver 53 iron 17 lead 68 31 nickel bronze

Step III:34 68 Gold 88 silver 53 iron 17 lead 31 nickel bronze

Step IV: 34 68 88 silver 53 iron 17 lead 31 nickel bronze Gold

Step V: 34 68 88 silver 53 17 lead 31 nickel bronze Gold iron

Step VI: 34 68 88 17 silver 53 lead 31 nickel bronze Gold iron

Step VII:34 68 88 17 silver 53 31 nickel bronze Gold iron lead

Step VIII: 34 68 88 17 31 silver 53 nickel bronze Gold iron lead

Step IX: 34 68 88 17 31 silver 53 bronze Gold iron lead nickel

Step X: 34 68 88 17 31 53 silver bronze Gold iron lead nickel

Step XI: 34 68 88 17 31 53 bronze Gold iron lead nickel silver

11 steps are there total for the given input.

QUESTION: 13

Directions [Set of 5 questions]: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and various steps of rearrangement.

INPUT: 56 papaya 91 kiwi 33 soya apple 42 16 mango

Step I: 16 56 papaya 91 kiwi 33 soya apple 42 mango

Step II:16 56 papaya 91 kiwi 33 soya 42 mango apple

Step III:16 42 56 papaya 91 kiwi 33soya mango apple

Step IV: 16 42 56 papaya 91 33 soya mango apple kiwi

Step V: 16 42 56 33 papaya 91 soya mango apple kiwi

Step VI: 16 42 56 33 papaya 91 soya apple kiwi mango

Step VII: 16 42 56 33 91 papaya soya apple kiwi mango

Step VIII: 16 42 56 33 91 soya apple kiwi mango papaya

Step IX: 16 42 56 33 91 apple kiwi mango papaya soya

As per the rules followed in above steps, answer the questions for the following input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

"34 68 88 17 31 53 silver bronze Gold iron lead nickel" is which step?

Solution: As per the given input, we can observe in the last step that

The even numbers are arranged in ascending order and after that the odd numbers are arranged in ascending order.

The words are arranged in alphabetical order of dictionary.

In each step, one element is moving with mumbers moving to the left and words moving to the right and so on.

So, for the given input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

Step I:34 Gold 88 silver bronze 53 iron 17 lead 68 31 nickel

Step II: 34 Gold 88 silver 53 iron 17 lead 68 31 nickel bronze

Step III:34 68 Gold 88 silver 53 iron 17 lead 31 nickel bronze

Step IV: 34 68 88 silver 53 iron 17 lead 31 nickel bronze Gold

Step V: 34 68 88 silver 53 17 lead 31 nickel bronze Gold iron

Step VI: 34 68 88 17 silver 53 lead 31 nickel bronze Gold iron

Step VII:34 68 88 17 silver 53 31 nickel bronze Gold iron lead

Step VIII: 34 68 88 17 31 silver 53 nickel bronze Gold iron lead

Step IX: 34 68 88 17 31 silver 53 bronze Gold iron lead nickel

Step X: 34 68 88 17 31 53 silver bronze Gold iron lead nickel

Step XI: 34 68 88 17 31 53 bronze Gold iron lead nickel silver

"34 68 88 17 31 53 silver bronze Gold iron lead nickel" is step X.

QUESTION: 14

Directions [Set of 5 questions]: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and various steps of rearrangement.

INPUT: 56 papaya 91 kiwi 33 soya apple 42 16 mango

Step I: 16 56 papaya 91 kiwi 33 soya apple 42 mango

Step II:16 56 papaya 91 kiwi 33 soya 42 mango apple

Step III:16 42 56 papaya 91 kiwi 33soya mango apple

Step IV: 16 42 56 papaya 91 33 soya mango apple kiwi

Step V: 16 42 56 33 papaya 91 soya mango apple kiwi

Step VI: 16 42 56 33 papaya 91 soya apple kiwi mango

Step VII: 16 42 56 33 91 papaya soya apple kiwi mango

Step VIII: 16 42 56 33 91 soya apple kiwi mango papaya

Step IX: 16 42 56 33 91 apple kiwi mango papaya soya

As per the rules followed in above steps, answer the questions for the following input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

In which step does "53 lead 31" appears in the same order?

Solution: As per the given input, we can observe in the last step that

The even numbers are arranged in ascending order and after that the odd numbers are arranged in ascending order.

The words are arranged in alphabetical order of dictionary.

In each step, one element is moving with mumbers moving to the left and words moving to the right and so on.

So, for the given input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

Step I:34 Gold 88 silver bronze 53 iron 17 lead 68 31 nickel

Step II: 34 Gold 88 silver 53 iron 17 lead 68 31 nickel bronze

Step III:34 68 Gold 88 silver 53 iron 17 lead 31 nickel bronze

Step IV: 34 68 88 silver 53 iron 17 lead 31 nickel bronze Gold

Step V: 34 68 88 silver 53 17 lead 31 nickel bronze Gold iron

Step VI: 34 68 88 17 silver 53 lead 31 nickel bronze Gold iron

Step VII:34 68 88 17 silver 53 31 nickel bronze Gold iron lead

Step VIII: 34 68 88 17 31 silver 53 nickel bronze Gold iron lead

Step IX: 34 68 88 17 31 silver 53 bronze Gold iron lead nickel

Step X: 34 68 88 17 31 53 silver bronze Gold iron lead nickel

Step XI: 34 68 88 17 31 53 bronze Gold iron lead nickel silver

"53 lead 31" appears in the VI step.

QUESTION: 15

Directions [Set of 5 questions]: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and various steps of rearrangement.

INPUT: 56 papaya 91 kiwi 33 soya apple 42 16 mango

Step I: 16 56 papaya 91 kiwi 33 soya apple 42 mango

Step II:16 56 papaya 91 kiwi 33 soya 42 mango apple

Step III:16 42 56 papaya 91 kiwi 33soya mango apple

Step IV: 16 42 56 papaya 91 33 soya mango apple kiwi

Step V: 16 42 56 33 papaya 91 soya mango apple kiwi

Step VI: 16 42 56 33 papaya 91 soya apple kiwi mango

Step VII: 16 42 56 33 91 papaya soya apple kiwi mango

Step VIII: 16 42 56 33 91 soya apple kiwi mango papaya

Step IX: 16 42 56 33 91 apple kiwi mango papaya soya

As per the rules followed in above steps, answer the questions for the following input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

What is to the immediate left of 31 in step VII?

Solution: As per the given input, we can observe in the last step that

The even numbers are arranged in ascending order and after that the odd numbers are arranged in ascending order.

The words are arranged in alphabetical order of dictionary.

In each step, one element is moving with mumbers moving to the left and words moving to the right and so on.

So, for the given input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

Step I:34 Gold 88 silver bronze 53 iron 17 lead 68 31 nickel

Step II: 34 Gold 88 silver 53 iron 17 lead 68 31 nickel bronze

Step III:34 68 Gold 88 silver 53 iron 17 lead 31 nickel bronze

Step IV: 34 68 88 silver 53 iron 17 lead 31 nickel bronze Gold

Step V: 34 68 88 silver 53 17 lead 31 nickel bronze Gold iron

Step VI: 34 68 88 17 silver 53 lead 31 nickel bronze Gold iron

Step VII:34 68 88 17 silver 53 31 nickel bronze Gold iron lead

Step VIII: 34 68 88 17 31 silver 53 nickel bronze Gold iron lead

Step IX: 34 68 88 17 31 silver 53 bronze Gold iron lead nickel

Step X: 34 68 88 17 31 53 silver bronze Gold iron lead nickel

Step XI: 34 68 88 17 31 53 bronze Gold iron lead nickel silver

53 is to the immediate left of 31 in step VII

QUESTION: 16

Directions [Set of 5 questions]: A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of the input and various steps of rearrangement.

INPUT: 56 papaya 91 kiwi 33 soya apple 42 16 mango

Step I: 16 56 papaya 91 kiwi 33 soya apple 42 mango

Step II:16 56 papaya 91 kiwi 33 soya 42 mango apple

Step III:16 42 56 papaya 91 kiwi 33soya mango apple

Step IV: 16 42 56 papaya 91 33 soya mango apple kiwi

Step V: 16 42 56 33 papaya 91 soya mango apple kiwi

Step VI: 16 42 56 33 papaya 91 soya apple kiwi mango

Step VII: 16 42 56 33 91 papaya soya apple kiwi mango

Step VIII: 16 42 56 33 91 soya apple kiwi mango papaya

Step IX: 16 42 56 33 91 apple kiwi mango papaya soya

As per the rules followed in above steps, answer the questions for the following input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

What is the eighth step for the given input?

Solution: As per the given input, we can observe in the last step that

The even numbers are arranged in ascending order and after that the odd numbers are arranged in ascending order.

The words are arranged in alphabetical order of dictionary.

In each step, one element is moving with mumbers moving to the left and words moving to the right and so on.

So, for the given input:

INPUT: Gold 88 silver bronze 34 53 iron 17 lead 68 31 nickel

Step I:34 Gold 88 silver bronze 53 iron 17 lead 68 31 nickel

Step II: 34 Gold 88 silver 53 iron 17 lead 68 31 nickel bronze

Step III:34 68 Gold 88 silver 53 iron 17 lead 31 nickel bronze

Step IV: 34 68 88 silver 53 iron 17 lead 31 nickel bronze Gold

Step V: 34 68 88 silver 53 17 lead 31 nickel bronze Gold iron

Step VI: 34 68 88 17 silver 53 lead 31 nickel bronze Gold iron

Step VII:34 68 88 17 silver 53 31 nickel bronze Gold iron lead

Step VIII: 34 68 88 17 31 silver 53 nickel bronze Gold iron lead

Step IX: 34 68 88 17 31 silver 53 bronze Gold iron lead nickel

Step X: 34 68 88 17 31 53 silver bronze Gold iron lead nickel

Step XI: 34 68 88 17 31 53 bronze Gold iron lead nickel silver

Step VIII is 34 68 88 17 31 silver 53 nickel bronze gold iron lead.

QUESTION: 17

In each of the questions below, two statements are given. From the options, choose the one that best depicts the relationship between the two statements.

I. For the past one week, the number of traffic accidents in neighbourhood T have increased.

II. A lot of pickpockets have been arrested in neighbourhood T in the past few months.

Solution: It is clear that traffic accidents would not be related to incidents of pickpocketing. So, the facts are effects of independent causes. D is the right answer.
QUESTION: 18

Each of the question below consists of a question and two or three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements is sufficient to answer the question:

Twelve friends are sitting in two rows facing each other in such a way that P, Q, R, S, T and U sit facing south while A, B, C, D, E and F sit facing north. Then who sits facing Q?

I. R sits second to the right of S, who sits third to the left of P. D sits third to the right of E, who sits second to the left of B. T sits immediate right of U, who sits facing F, and C sits second to the left of A, who sits immediate right of E, and F sits at one end of the row.

II. B sits third to the right of C, who sits facing P, and S sits second to the left of R, who sits third to the right of T. D sits immediate right of B, who sits second to the right of E, and F sits immediate right of D, who sits facing T.

Solution: From I

We have:

T sits immediate right of U, and U sits facing F.

D sits third to the right of E, and E sits second to the left of B.

A sits immediate right of E, and R sits second to the right of S.

S sits third to the left of P, and F sits at one end.

Thus, F must be on right end, and C sits second to the left of A.

Based on above data we get:

Thus, A sits facing Q.

Hence, statement I alone is sufficient.

From II:

We have:

B sits third to the right of C, and C sits facing P.

D sits immediate right of B, and B sits second to the right of E.

F sits immediate right of D, and S sits second to the left of R.

R sits third to the right of T, and D sits facing T.

Based on above data we get:

Since, we don't know exact place of Q and U.

Hence, statement II is not sufficient.

QUESTION: 19

Statement: Reliance Industries Ltd (RIL) wants its consumer businesses - Reliance Jio Infocomm Ltd and Reliance Retail Ltd - to contribute at par with its energy and materials businesses over the next decade, RIL chairman and managing director Mukesh Ambani said in his letter to shareholders.

Which of the following can be a possible reason(s) why RIL wants its consumer business to contribute at par with its energy and material businesses?

1. RIL's energy and material businesses have contributed towards building the brand image, which helped popularise products from other RIL's business segments.

2. RIL's consumer businesses have not attained a threshold from which they will start contributing meaningfully to consolidated profits.

3. Reliance Jio has 186.6 million customers.

Solution: Statements 1 and 2 can be inferred from the given premise: 1 talks about energy and material businesses contributing in building brand image and helping popularise products from other segments as well; so, the chairman wants his consumer and retails businesses too to match up with his top performing businesses. Similarly, 2 talks about meaningful contribution to the profits which is a plausible reason for it. Statement 3 is an unrelated additional statement; hence cannot be a possible reason. A is the correct answer.
QUESTION: 20

Statement: Reliance Industries Ltd (RIL) wants its consumer businesses - Reliance Jio Infocomm Ltd and Reliance Retail Ltd - to contribute at par with its energy and materials businesses over the next decade, RIL chairman and managing director Mukesh Ambani said in his letter to shareholders.

Which of the following can be inferred from the given statement?

1. Reliance Jio is currently making losses owing to its aggressive pricing strategy for market capitalisation.

2. The energy and materials counterpart of Reliance Industries Ltd (RIL) is doing better than Reliance Retail Ltd in terms of revenue.

3. The target set for Reliance Jio Infocomm Ltd and Reliance Retail Ltd to come at par with their energy and materials counterpart is set at 20 years from now.

Solution: There is no mention of Reliance Jio making losses in the given statement; hence, 1 cannot be inferred. Clearly, statement 2 can be inferred as their chairman wants his consumer businesses to perform at par with energy and materials businesses. Statement 3, also, cannot be inferred as the target is set for a decade (10 years) and not 20 years. Hence, D is the correct answer.
QUESTION: 21

Two statements numbered I and II given below. You have to decide whether the data provided in the statements are sufficient to answer the question.

What is the code for "Mini Ben" & 'Rony Ravi'?

Statement I: In certain code language 'po ko go co oo' means 'Riti Rita Reena Ravi Shiva', 'fo co bo vo po' means 'Riti Kirti Ravi Ravish Rony', 'io uo co vo oo' means 'Ravi Shiva Rony Mini Ben' and 'fo bo yo ro go' means 'Kirti Ravish Reena Shivani Sam'.

Statement II: In certain code language 'io uo co go po' means 'Riti Reena Ravi Mini Ben', 'xo to uo io fo' means 'Kirti Shivi Monu Mini Ben', 'ro vo bo io uo' means 'Sam Rony Ravish Ben Mini' and 'xo co io to uo' means 'Shivi Ravi Mini Monu Ben'.

Solution: From I

a) Riti Rita Reena Ravi Shiva → po ko go co oo

b) Riti Kirti Ravi Ravish Rony → fo co bo vo po

c) Ravi Shiva Rony Mini Ben → io uo co vo oo

d) Kirti Ravish Reena Shivani Sam → fo bo yo ro go

From (a),(b) & (c): Ravi → co

From (b) & (c): Rony → vo

From (a) & (c) : Shiva → oo

From (c) : Mini/Ben → uo/io

"Mini Ben" → "uo io'

'Ravi Rony' → 'co vo'

From II:

a) Riti Reena Ravi Mini Ben → io uo co go po

b) Kirti Shivi Monu Mini Ben → xo to uo io fo

c) Sam Rony Ravish Ben Mini → ro vo bo io uo

d) Shivi Ravi Mini Monu Ben → xo co io to uo

From (a) & (b): mini/ben → uo/io

From (a) & (d) : Ravi → co

From (c) : sam/rony/ravish : ro/vo/bo

QUESTION: 22

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were seated around a square table facing the centre. There was one person at each corner and one person along every side. Each person chose a different number which was a multiple of either 7 or 9. The numbers were neither less than 10 nor greater than 50. The persons seated at the corners chose multiples of 7 and the persons seated along the side chose the multiples of 9.

The one who chose 49 was third to the left of G. G and E chose consecutive numbers. E chose a number greater than that chosen by G. E was 2nd to the right of B. B was seated opposite to F. C chose a number that was twice as that of the number chosen by A. A was 3rd to the left of H. The difference between the numbers chosen by C and E was 8. The person who chose 14 was to the immediate right of A. The one who chose 45 was 3rd to the left of the one who chose 21.

Which of the following numbers was chosen by D?

Solution:
• The one who chose 49 was third to the left of G. Hence G seated along one of the sides.
• G and E chose consecutive numbers. E chose a number greater than that chosen by G. Thus, the only possibility will be that one of them chose a multiple of 7 and the other chose a multiple of 9. Possible combinations: (27, 28) (35, 36).
• The difference between the numbers chosen by C and E was 8. Thus, C could have chosen 20, 36, 28, 44. The only valid values are 36, 28.
• C chose a number that was twice as that of the number chosen by A. A could have chosen 18 or 14.
• The person who chose 14 was to the immediate right of A. Thus, A could not have chosen 14. Hence, A chose 18 and C chose 36. Thus, E chose 28 and G chose 27.
• E was 2nd to the right of B. Thus, E and B will be at the corners. B was seated opposite to F

• The person who chose 14 was to the immediate right of A. A chose 18.
• A was 3rd to the left of H. Thus, case 3 becomes invalid.

Case 2 is invalid as the one who chose 14 cannot be placed in it

• The one who chose 45 was 3rd to the left of the one who chose 21.

Thus, the final arrangement is as follows:

D chose 45.

QUESTION: 23

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were seated around a square table facing the centre. There was one person at each corner and one person along every side. Each person chose a different number which was a multiple of either 7 or 9. The numbers were neither less than 10 nor greater than 50. The persons seated at the corners chose multiples of 7 and the persons seated along the side chose the multiples of 9.

The one who chose 49 was third to the left of G. G and E chose consecutive numbers. E chose a number greater than that chosen by G. E was 2nd to the right of B. B was seated opposite to F. C chose a number that was twice as that of the number chosen by A. A was 3rd to the left of H. The difference between the numbers chosen by C and E was 8. The person who chose 14 was to the immediate right of A. The one who chose 45 was 3rd to the left of the one who chose 21.

How many persons chose a number lesser than that chosen by the one seated opposite to C?

Solution:
• The one who chose 49 was third to the left of G. Hence G seated along one of the sides.
• G and E chose consecutive numbers. E chose a number greater than that chosen by G. Thus, the only possibility will be that one of them chose a multiple of 7 and the other chose a multiple of 9. Possible combinations: (27, 28) (35, 36).
• The difference between the numbers chosen by C and E was 8. Thus, C could have chosen 20, 36, 28, 44. The only valid values are 36, 28.
• C chose a number that was twice as that of the number chosen by A. A could have chosen 18 or 14.
• The person who chose 14 was to the immediate right of A. Thus, A could not have chosen 14. Hence, A chose 18 and C chose 36. Thus, E chose 28 and G chose 27.
• E was 2nd to the right of B. Thus, E and B will be at the corners. B was seated opposite to F

• The person who chose 14 was to the immediate right of A. A chose 18.
• A was 3rd to the left of H. Thus, case 3 becomes invalid.

Case 2 is invalid as the one who chose 14 cannot be placed in it

• The one who chose 45 was 3rd to the left of the one who chose 21.

Thus, the final arrangement is as follows:

Only F chose a number lower than that chosen by A

QUESTION: 24

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were seated around a square table facing the centre. There was one person at each corner and one person along every side. Each person chose a different number which was a multiple of either 7 or 9. The numbers were neither less than 10 nor greater than 50. The persons seated at the corners chose multiples of 7 and the persons seated along the side chose the multiples of 9.

The one who chose 49 was third to the left of G. G and E chose consecutive numbers. E chose a number greater than that chosen by G. E was 2nd to the right of B. B was seated opposite to F. C chose a number that was twice as that of the number chosen by A. A was 3rd to the left of H. The difference between the numbers chosen by C and E was 8. The person who chose 14 was to the immediate right of A. The one who chose 45 was 3rd to the left of the one who chose 21.

Four of the following bear a similar relationship and hence form a group, who among the following is not a part of that group?

Solution: The one who chose 49 was third to the left of G. Hence G seated along one of the sides.
• G and E chose consecutive numbers. E chose a number greater than that chosen by G. Thus, the only possibility will be that one of them chose a multiple of 7 and the other chose a multiple of 9. Possible combinations: (27, 28) (35, 36).
• The difference between the numbers chosen by C and E was 8. Thus, C could have chosen 20, 36, 28, 44. The only valid values are 36, 28.
• C chose a number that was twice as that of the number chosen by A. A could have chosen 18 or 14.
• The person who chose 14 was to the immediate right of A. Thus, A could not have chosen 14. Hence, A chose 18 and C chose 36. Thus, E chose 28 and G chose 27.
• E was 2nd to the right of B. Thus, E and B will be at the corners. B was seated opposite to F

• The person who chose 14 was to the immediate right of A. A chose 18.
• A was 3rd to the left of H. Thus, case 3 becomes invalid.

Case 2 is invalid as the one who chose 14 cannot be placed in it

• The one who chose 45 was 3rd to the left of the one who chose 21.

Thus, the final arrangement is as follows:

Apart from B others were seated along the sides.

QUESTION: 25

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were seated around a square table facing the centre. There was one person at each corner and one person along every side. Each person chose a different number which was a multiple of either 7 or 9. The numbers were neither less than 10 nor greater than 50. The persons seated at the corners chose multiples of 7 and the persons seated along the side chose the multiples of 9.

The one who chose 49 was third to the left of G. G and E chose consecutive numbers. E chose a number greater than that chosen by G. E was 2nd to the right of B. B was seated opposite to F. C chose a number that was twice as that of the number chosen by A. A was 3rd to the left of H. The difference between the numbers chosen by C and E was 8. The person who chose 14 was to the immediate right of A. The one who chose 45 was 3rd to the left of the one who chose 21.

What was the position of A with respect to E?

Solution:

The one who chose 49 was third to the left of G. Hence G seated along one of the sides.

• G and E chose consecutive numbers. E chose a number greater than that chosen by G. Thus, the only possibility will be that one of them chose a multiple of 7 and the other chose a multiple of 9. Possible combinations: (27, 28) (35, 36).
• The difference between the numbers chosen by C and E was 8. Thus, C could have chosen 20, 36, 28, 44. The only valid values are 36, 28.
• C chose a number that was twice as that of the number chosen by A. A could have chosen 18 or 14.
• The person who chose 14 was to the immediate right of A. Thus, A could not have chosen 14. Hence, A chose 18 and C chose 36. Thus, E chose 28 and G chose 27.
• E was 2nd to the right of B. Thus, E and B will be at the corners. B was seated opposite to F

• The person who chose 14 was to the immediate right of A. A chose 18.
• A was 3rd to the left of H. Thus, case 3 becomes invalid.

Case 2 is invalid as the one who chose 14 cannot be placed in it

• The one who chose 45 was 3rd to the left of the one who chose 21.

Thus, the final arrangement is as follows:

A was to the immediate right of E

QUESTION: 26

Directions [Set of 5 questions]: Eight persons A, B, C, D, E, F, G and H were seated around a square table facing the centre. There was one person at each corner and one person along every side. Each person chose a different number which was a multiple of either 7 or 9. The numbers were neither less than 10 nor greater than 50. The persons seated at the corners chose multiples of 7 and the persons seated along the side chose the multiples of 9.

The one who chose 49 was third to the left of G. G and E chose consecutive numbers. E chose a number greater than that chosen by G. E was 2nd to the right of B. B was seated opposite to F. C chose a number that was twice as that of the number chosen by A. A was 3rd to the left of H. The difference between the numbers chosen by C and E was 8. The person who chose 14 was to the immediate right of A. The one who chose 45 was 3rd to the left of the one who chose 21.

Who among the following chose the 3rd highest number?

Solution: The one who chose 49 was third to the left of G. Hence G seated along one of the sides.
• G and E chose consecutive numbers. E chose a number greater than that chosen by G. Thus, the only possibility will be that one of them chose a multiple of 7 and the other chose a multiple of 9. Possible combinations: (27, 28) (35, 36).
• The difference between the numbers chosen by C and E was 8. Thus, C could have chosen 20, 36, 28, 44. The only valid values are 36, 28.
• C chose a number that was twice as that of the number chosen by A. A could have chosen 18 or 14.
• The person who chose 14 was to the immediate right of A. Thus, A could not have chosen 14. Hence, A chose 18 and C chose 36. Thus, E chose 28 and G chose 27.
• E was 2nd to the right of B. Thus, E and B will be at the corners. B was seated opposite to F

• The person who chose 14 was to the immediate right of A. A chose 18.
• A was 3rd to the left of H. Thus, case 3 becomes invalid.

Case 2 is invalid as the one who chose 14 cannot be placed in it

• The one who chose 45 was 3rd to the left of the one who chose 21.

Thus, the final arrangement is as follows:

C chose the 3rd highest number

QUESTION: 27

Anorexia Nervosa is an eating disorder defined as severe, self- inflicted starvation leading to body weight at least 15% below that expected for the individual's sex and height and age. Normally, medical treatment cannot be administered without the consent of the patient. However, mentally ill patients may not have the mental capacity to make a choice. Despite this, medical ethics, pragmatics and human rights call the treatment into question. Life is more important than dignity, many medical treatments are unpleasant or painful but they are necessary to preserve life. Without force feeding the anorectic patient will often die. Treatment for the psychological problem should be considered to go hand in hand with saving the patient's life.

It can be inferred from the passage that the author is least likely to agree with which of the following statements?

Solution: Option A is eliminated as although the author is not likely to agree with it, the passage is not about the problems that force feeding can cause, rather it is about whether force feeding is necessary or not in the case of eating disorders. Option B is eliminated as although the author is not likely to agree with this statement, it does not talk about the need to save the patients life over the need to comply with his choice to receive medical help or not, which is the crux of the passage. Options C and E are eliminated as the author is likely to agree with these statements. Option D is the right answer as it is the statement which the author is least likely to agree with since the passage makes it perfectly clear that the author believes that it is more important to save a patient's life first, before treating his psychological problem.
QUESTION: 28

Directions [Set of 5 questions]: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are having different ages. Their ages are consecutive multiple of 3 but not necessarily in the same order. They like different colors i.e. Yellow, Brown, White, Black, Red, Pink, Orange and Blue, not necessarily in the same order. C is 39 years old and likes Black color. D's age is half the age of E's age. The one who likes Pink is 24 years old. The one who likes Brown is 9 years elder to D. F likes Orange and younger to the one who likes Brown. H is 6 years elder to F. The one who likes White is younger to F. E is elder to G who likes Yellow. A is 30 years old and elder to H. The one who likes Red is younger to G.

Who among the following likes Brown?

Solution: C is 39 years old and likes Black color. The one who likes Pink is 24 years old. So we know that their ages are consecutive multiple of 3. Then ages are 24, 27, 30, 33, 36 and 39. Still two persons age are left. D's age is half the age of E's age. So E's age can be 42 then D's age will be 21 then we will get all 8 ages and other case is E's age is 36 and D's age is 18 so we will get 18 and 21 age. These are two conditions.

The one who likes Brown is 9 years elder to D. So the one who likes Brown is either 30 or 27 years old. F likes Orange and just younger to the one who likes Brown. So F is either 27 or 21 years old. H is 6 years elder to F so H is either 33 or 27 years old. The one who likes White is younger to F then D must like White in both cases.

A is 30 years old and elder to H from this Case 1 is rejected. E is elder to G who likes Yellow then G must be 33 years old then B must be 24 years old. The one who likes Red is younger to G then A must like Red and E likes Blue.

Here is the final arrangement:

H likes Brown color.

QUESTION: 29

Directions [Set of 5 questions]: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are having different ages. Their ages are consecutive multiple of 3 but not necessarily in the same order. They like different colors i.e. Yellow, Brown, White, Black, Red, Pink, Orange and Blue, not necessarily in the same order. C is 39 years old and likes Black color. D's age is half the age of E's age. The one who likes Pink is 24 years old. The one who likes Brown is 9 years elder to D. F likes Orange and younger to the one who likes Brown. H is 6 years elder to F. The one who likes White is younger to F. E is elder to G who likes Yellow. A is 30 years old and elder to H. The one who likes Red is younger to G.

D likes which of the following color?

Solution: C is 39 years old and likes Black color. The one who likes Pink is 24 years old. So we know that their ages are consecutive multiple of 3. Then ages are 24, 27, 30, 33, 36 and 39. Still two persons age are left. D's age is half the age of E's age. So E's age can be 42 then D's age will be 21 then we will get all 8 ages and other case is E's age is 36 and D's age is 18 so we will get 18 and 21 age. These are two conditions.

The one who likes Brown is 9 years elder to D. So the one who likes Brown is either 30 or 27 years old. F likes Orange and just younger to the one who likes Brown. So F is either 27 or 21 years old. H is 6 years elder to F so H is either 33 or 27 years old. The one who likes White is younger to F then D must like White in both cases.

A is 30 years old and elder to H from this Case 1 is rejected. E is elder to G who likes Yellow then G must be 33 years old then B must be 24 years old. The one who likes Red is younger to G then A must like Red and E likes Blue.

Here is the final arrangement:

D likes White color.

QUESTION: 30

Directions [Set of 5 questions]: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are having different ages. Their ages are consecutive multiple of 3 but not necessarily in the same order. They like different colors i.e. Yellow, Brown, White, Black, Red, Pink, Orange and Blue, not necessarily in the same order. C is 39 years old and likes Black color. D's age is half the age of E's age. The one who likes Pink is 24 years old. The one who likes Brown is 9 years elder to D. F likes Orange and younger to the one who likes Brown. H is 6 years elder to F. The one who likes White is younger to F. E is elder to G who likes Yellow. A is 30 years old and elder to H. The one who likes Red is younger to G.

Who among the following is not elder to A?

Solution: C is 39 years old and likes Black color. The one who likes Pink is 24 years old. So we know that their ages are consecutive multiple of 3. Then ages are 24, 27, 30, 33, 36 and 39. Still, two persons age are left. D's age is half the age of E's age. So E's age can be 42 then D's age will be 21 then we will get all 8 ages and other case is E's age is 36 and D's age is 18 so we will get 18 and 21 age. These are two conditions.

The one who likes Brown is 9 years elder to D. So the one who likes Brown is either 30 or 27 years old. F likes Orange and just younger to the one who likes Brown. So F is either 27 or 21 years old. H is 6 years elder to F so H is either 33 or 27 years old. The one who likes White is younger to F then D must like White in both cases.

A is 30 years old and elder to H from this Case 1 is rejected. E is elder to G who likes Yellow then G must be 33 years old then B must be 24 years old. The one who likes Red is younger to G then A must like Red and E likes Blue.

Here is the final arrangement:

B is not elder to A.

QUESTION: 31

Directions [Set of 5 questions]: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are having different ages. Their ages are consecutive multiple of 3 but not necessarily in the same order. They like different colors i.e. Yellow, Brown, White, Black, Red, Pink, Orange and Blue, not necessarily in the same order. C is 39 years old and likes Black color. D's age is half the age of E's age. The one who likes Pink is 24 years old. The one who likes Brown is 9 years elder to D. F likes Orange and younger to the one who likes Brown. H is 6 years elder to F. The one who likes White is younger to F. E is elder to G who likes Yellow. A is 30 years old and elder to H. The one who likes Red is younger to G.

Which of the following combination is correct?

Solution: C is 39 years old and likes Black color. The one who likes Pink is 24 years old. So we know that their ages are consecutive multiple of 3. Then ages are 24, 27, 30, 33, 36 and 39. Still two persons age are left. D's age is half the age of E's age. So E's age can be 42 then D's age will be 21 then we will get all 8 ages and other case is E's age is 36 and D's age is 18 so we will get 18 and 21 age. These are two conditions.

The one who likes Brown is 9 years elder to D. So the one who likes Brown is either 30 or 27 years old. F likes Orange and just younger to the one who likes Brown. So F is either 27 or 21 years old. H is 6 years elder to F so H is either 33 or 27 years old. The one who likes White is younger to F then D must like White in both cases.

A is 30 years old and elder to H from this Case 1 is rejected. E is elder to G who likes Yellow then G must be 33 years old then B must be 24 years old. The one who likes Red is younger to G then A must like Red and E likes Blue.

Here is the final arrangement:

A likes Red.

QUESTION: 32

Directions [Set of 5 questions]: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are having different ages. Their ages are consecutive multiple of 3 but not necessarily in the same order. They like different colors i.e. Yellow, Brown, White, Black, Red, Pink, Orange and Blue, not necessarily in the same order. C is 39 years old and likes Black color. D's age is half the age of E's age. The one who likes Pink is 24 years old. The one who likes Brown is 9 years elder to D. F likes Orange and younger to the one who likes Brown. H is 6 years elder to F. The one who likes White is younger to F. E is elder to G who likes Yellow. A is 30 years old and elder to H. The one who likes Red is younger to G.

What is the age of D?

Solution: C is 39 years old and likes Black color. The one who likes Pink is 24 years old. So we know that their ages are consecutive multiple of 3. Then ages are 24, 27, 30, 33, 36, and 39. Still, two people ages are left. D's age is half the age of E's age. So E's age can be 42 then D's age will be 21 then we will get all 8 ages and other case is E's age is 36 and D's age is 18 so we will get 18 and 21 age. These are two conditions.

The one who likes Brown is 9 years elder than D. So the one who likes Brown is either 30 or 27 years old. So F is either 27 or 21 years old. H is 6 years elder than F so H is either 33 or 27 years old. The one who likes White is younger to F then D must like White in both cases.

A is 30 years old and elder to H from this Case 1 is rejected. E is elder to G who likes Yellow then G must be 33 years old then B must be 24 years old. The one who likes Red is younger than G then A must like Red and E likes Blue.

Here is the final arrangement:

D is 18 years old.

Hence, the correct option is (B).

QUESTION: 33

Directions [Set of 3 questions]: In a certain code language "Kavita is a writer" is coded as "jp ey fo ax", "novel writer makes money" is coded as "ey bn iz cq", "reading is a good hobby" is coded as "dm jp fo ks gr" and "Kavita likes reading novel" is coded as "ax dm hl bn".

Answer following questions based on above information:

Codes of which of the following would be needed to know the code of "is"?

(ii) novel is a hobby

(iii) a good hobby makes money

(iv) writer is a good money

Solution: "Kavita is a writer" → "jp ey fo ax"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Kavita → ax

"Kavita likes reading novel" → "ax dm hl bn"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Novel → bn

"Kavita is a writer" → "jp ey fo ax"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Writer → ey

Is/a → jp/fo

Makes/money → iz/cq

"reading is a good hobby" → "dm jp fo ks gr"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Likes → hl

Good/hobby → gr/ks

Thus, we have:

Kavita → ax

Novel → bn

Writer → ey

Likes → hl

Is/a → jp/fo

Makes/money → iz/cq

Good/hobby → gr/ks

"The codes for 'is/a' are 'fo/jp', in no particular order.

From statement i, we can find the code for 'is'.

From statement iii, we can find the code for 'a'. Hence, code for 'is' can be decoded by knowing the code for 'a'.

Rest of the statements do not give the code for 'a' or 'is' or both.

QUESTION: 34

Directions [Set of 3 questions]: In a certain code language "Kavita is a writer" is coded as "jp ey fo ax", "novel writer makes money" is coded as "ey bn iz cq", "reading is a good hobby" is coded as "dm jp fo ks gr" and "Kavita likes reading novel" is coded as "ax dm hl bn".

Answer following questions based on above information:

'bn' is code for which of the following words?

Solution: "Kavita is a writer" → "jp ey fo ax"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Kavita → ax

"Kavita likes reading novel" → "ax dm hl bn"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Novel → bn

"Kavita is a writer" → "jp ey fo ax"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Writer → ey

Is/a → jp/fo

Makes/money → iz/cq

"reading is a good hobby" → "dm jp fo ks gr"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Likes → hl

Good/hobby → gr/ks

Thus, we have:

Kavita → ax

Novel → bn

Writer → ey

Likes → hl

Is/a → jp/fo

Makes/money → iz/cq

Good/hobby → gr/ks

'bn' is code for 'novel'

QUESTION: 35

Directions [Set of 3 questions]: In a certain code language "Kavita is a writer" is coded as "jp ey fo ax", "novel writer makes money" is coded as "ey bn iz cq", "reading is a good hobby" is coded as "dm jp fo ks gr" and "Kavita likes reading novel" is coded as "ax dm hl bn".

Answer following questions based on above information:

Which of the following is code for "money"?

Solution: "Kavita is a writer" → "jp ey fo ax"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Kavita → ax

"Kavita likes reading novel" → "ax dm hl bn"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Novel → bn

"Kavita is a writer" → "jp ey fo ax"

"novel writer makes money" → "ey bn iz cq"

From the above lines we can say that:

Writer → ey

Is/a → jp/fo

Makes/money → iz/cq

"reading is a good hobby" → "dm jp fo ks gr"

"Kavita likes reading novels" → "ax dm hl bn"

From the above lines we can say that:

Likes → hl

Good/hobby → gr/ks

Thus, we have:

Kavita → ax

Novel → bn

Writer → ey

Likes → hl

Is/a → jp/fo

Makes/money → iz/cq

Good/hobby → gr/ks

code for "money" is either 'iz' or 'cq'

QUESTION: 36

Directions [Set of 2 questions]: A family has ten members with equal number of males and females. Eldest member of the family is a male and youngest member is grandson of eldest member. H is mother of B. F is uncle of I, and brother of G. B has a brother, two sisters and a brother-in-law. A is grandfather of two grandchildren. D is the mother of a son, E. D is daughter-in-law of H. C is aunt of I and is married to J who has no children.

How is youngest member of the family related to F?

Solution: F is uncle of I and brother of G.

C is aunt of I and married to J.

From above lines F is brother of G and C.

H is mother of B.

B has a brother, two sisters and a brother-in-law.

This is only possible if B is siblling of F, G and C.

D is mother of a son, E and daughter-in-law of H.

This means D is married to B. Because B don't have any married brother.

So, B is male.

Only members left are A and I, since A is grandfather of two grandchildren. We can say that A is husband of H. There are equal number of male and female members in the family. Hence, I must be female. So, I is B and D's daughter as F and C are her uncle and aunt respectively.

Youngest and oldest member of family are male. So, youngest member of the family is E and is nephew of F.

QUESTION: 37

Directions [Set of 2 questions]: A family has ten members with equal number of males and females. Eldest member of the family is a male and youngest member is grandson of eldest member. H is mother of B. F is uncle of I, and brother of G. B has a brother, two sisters and a brother-in-law. A is grandfather of two grandchildren. D is the mother of a son, E. D is daughter-in-law of H. C is aunt of I and is married to J who has no children.

How is G related to E?

Solution: F is uncle of I and brother of G.

C is aunt of I and married to J.

From above lines F is brother of G and C.

H is mother of B.

B has a brother, two sisters and a brother-in-law.

This is only possible if B is siblling of F, G and C.

D is mother of a son, E and daughter-in-law of H.

This means D is married to B. Because B don't have any married brother.

So, B is male.

Only members left are A and I, since A is grandfather of two grandchildren. We can say that A is husband of H. There are equal number of male and female members in the family. Hence, I must be female. So, I is B and D's daughter as F and C are her uncle and aunt respectively.

G is aunt of E.

QUESTION: 38

Single-sex education improves learning and performance by allowing a better match for teaching and learning. That is, as with other forms of homogenous grouping, separate classes for girls and boys are seen as enabling teaching and learning and reducing achievement gaps. For girls, for example, single-sex education is viewed as a way to enable them to do better in math and science, opening up careers where females are underrepresented. Jefferson Leadership Academies was in the spotlight in 1999 when it became the first public middle school in the United States to have entirely single-gender classes. Its reason? Research showed that girls did better in math and science in all-girl settings.

Which of the following, if true, most effectively weakens the conclusion of the argument?

Solution: The conclusion of the passage is that students who have studied in single-sex settings perform better in science and math, than those who haven't.

Option 1 does not weaken, or even address this conclusion, rather it gives a disadvantage of single-sex education. Thus, it is eliminated.

Option 2 gives a benefit of single-sex education, but does not address or weaken the specific conclusion of the passage. Thus, Option 2 is eliminated.

Option 4 gives a separate additional fact about the efficiency of teachers in single-sex settings, it does not weaken or strengthen the conclusion of the argument. Thus, Option 4 is eliminated.

Option 5 gives an additional disadvantage of single-sex schools, rather than addressing the conclusion of the passage. Thus, Option 5 is eliminated.

Option 3 is the right answer, as it specifically address the claims made in the conclusion of the passage, and tells us why the conclusion may be fallacious, thereby effectively weakening the argument.

QUESTION: 39

The 2001 census showed a sharp fall in the literacy rate compared to 1991, but an increase in the literacy rate by 2006 suggests that between 1991 and 2006 India progressed in terms of literacy rate.

Which of the following statements, if true, best refutes the above argument?

Solution: Now this is question where the mathematically inclined would have a field day. Effectively, this question is about successive percentage changes. Now if the drop in literacy rates between 1991 to 2001 is greater than increase in the rate between 2001 to 2006, it is likely that the overall figure goes down. This is what is highlighted by option 4. Effectively a narrower base would make the increase in 2001 to 2006 seem a lot bigger than it actually is, and thus, the overall rate can fall. This is what we want as we wish to weaken the argument, and this option helps us to do that.
QUESTION: 40

The next number in the given series is:

196, 384, 736, ____

Solution: The pattern followed here is

So, the next number is "1344".

Hence, the correct option is (A).

QUESTION: 41

In the question below, two statements are given and followed by conclusions: I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only a few diamonds are carbons.

All carbons are minerals.

Conclusions:

I. Some minerals are diamonds.

II. All diamonds can never be minerals.

III. All carbons being diamonds is a possibility.

Solution: Only a few diamonds are carbons, i.e., some diamonds will definitely not be carbons. All carbons are minerals.

Some minerals are diamonds is true. All diamonds can never be minerals is not true. All carbons being diamonds is a possibility is true. So, I and III follow.

QUESTION: 42

In the question below, two statements are given and followed by conclusions: I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only a few pools are magic.

Some power are magic.

Conclusions:

I. Some magic are definitely not power.

II. At least some power are pools.

III. All pools can never be power.

Solution: Only a few pools are magic, i.e., some pools will definitely not be magic. Some power are magic.

Some magic are definitely not power is not true. At least some power are pools is not true. All pools can never be power is not true. So, none of I, II and III follow.

QUESTION: 43

Direction: In the question given below two statements are given, (I) and (II). These statements may either be independent causes, effects of independent causes or effects of a common cause. One of the statements may be the effect of the other statement. Read both the statements and decide which of the following answer choices correctly depicts the relationship between these two statements.

I. Large number of students in the hostel have fallen sick after consuming food last night.

II. The hostel kitchen had been infested with cockroaches and worms since many days.

Solution: Cockroaches and worms in the kitchen may be a reason for students to fall sick but the infestation has been there since days and students fell sick only last night which suggests that there might be other reasons for the sudden mishap.

Hence, the correct option is (D).

QUESTION: 44

Direction: In the question given below two statements are given, (I) and (II). These statements may either be independent causes, effects of independent causes or effects of a common cause. One of the statements may be the effect of the other statement. Read both the statements and decide which of the following answer choices correctly depicts the relationship between these two statements.

I. Deirdre is an environmentalist and has collected many evidences of untreated sewage water being drained into the rivers and oceans to present in her case study.

II. Deirdre has been visiting schools in various cities with her acolytes and giving presentations on the sustainable use of freshwater.

Solution: Both statements I and II are independent causes.

Both the statements are two distinct causes. In the given statements, Deirdre is focusing on two distinct causes, the first being the draining of untreated sewage into rivers, lakes, and oceans which will pollute the water bodies while the second one emphasizes the unsustainable use of freshwater which might lead to water scarcity.

Hence, the correct option is (C).

QUESTION: 45

The below question consists of two statements I and II. You have to decide whether the given statements are sufficient to answer the given question.

Eight people A, B, C, D, E, F, G and H were born in different years among 1984, 1987, 1990, 1992, 1995, 1997, 1998 and 2001 (not necessarily in the same order). G was born in the year 1992. F was born in an odd year immediately before A. Four people were born between B and E where B was born before E. D was born in an odd year before G. How many people were born between C and H?

I. H was born in 1995. C was born before B.

II. One person was born between C and B. H was born before F.

Solution: G was born in the year 1992.

Considering statement I:

H was born in 1995. C was born before B.

F was born in an odd year immediately before A. Four people were born between B and E where B was born before E. D was born in an odd year before G.

3 persons were born between C and H

So, statement I alone is sufficient.

Considering statement II:

One person was born between C and B. H was born before F.

F was born in an odd year immediately before A. Four people were born between B and E where B was born before E. D was born in an odd year before G.

3 persons were born between C and H. So, statement II alone is sufficient.

QUESTION: 46

The below question consists of two statements I and II. You have to decide whether the given statements are sufficient to answer the given question.

Eight people were seated around a circular table facing inwards. C was seated opposite to E. F was seated to the immediate right of B. H was not seated adjacent to A.

Who was seated to the immediate left of G?

I. G was seated to the immediate right of A. F was seated opposite to G. D was seated second to the right of B. E was seated immediate right of D.

II. H was seated opposite to D. E was seated to the immediate left of A. F was seated third to the right of H.

Solution: Considering statement I

C was seated opposite to E. F was seated to the immediate right of B. H was not seated adjacent to A.

G was seated to the immediate right of A. F was seated opposite to G. D was seated second to the right of B. E was seated immediate right of D.

So statement I alone is sufficient.

Considering statement II:

H was seated opposite to D. E was seated to the immediate left of A. F was seated third to the right of H.

C was seated opposite to E. F was seated to the immediate right of B. H was not seated adjacent to A.

So statement II alone is also sufficient.

QUESTION: 47

Direction: Study the following information and answer the given question.

Seven friends, I, J, K, L, M, N, and O, are living in a seven-storied building with floor 1 being the lowermost floor, but not necessarily in the same order. All of them like seven different fruits, viz. Watermelon, Banana, Mango, Avocado, Guava, Pineapple and Kiwi, but not necessarily in the same order.

N, who likes Banana, lives on the 4th floor. Only three floors are there in between the floors on which O and I live. L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado. Neither O nor K lives on the lowermost floor. Neither K nor J likes Guava. The person, who lives on a floor immediately below M, lives on an odd numbered floor. The person, who likes Guava, lives on the topmost floor. Neither O nor K likes Mango. More than three people are living below the floor on which the person lives who likes Pineapple. I lives on a floor which is not adjacent to N.

How many floors are there in between the floors on which K and J live?

Solution: N, who likes Banana, lives on the 4th floor.

L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado.

The person, who lives on a floor immediately below M, lives on an odd numbered floor.

The person, who likes Guava, lives on the topmost floor.

Only three floors are there in between the floors on which O and I live.

Neither O nor K lives on the lowermost floor.

Neither K nor J likes Guava.

I lives on a floor which is not adjacent to N.

Neither O nor K likes Mango.

More than three people are living below the floor on which the person lives who likes Pineapple.

There are three floors in between the floors on which K and J live.

QUESTION: 48

Direction: Study the following information and answer the given question.

Seven friends, I, J, K, L, M, N, and O, are living in a seven-storied building with floor 1 being the lowermost floor, but not necessarily in the same order. All of them like seven different fruits, viz. Watermelon, Banana, Mango, Avocado, Guava, Pineapple and Kiwi, but not necessarily in the same order.

N, who likes Banana, lives on the 4th floor. Only three floors are there in between the floors on which O and I live. L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado. Neither O nor K lives on the lowermost floor. Neither K nor J likes Guava. The person, who lives on a floor immediately below M, lives on an odd numbered floor. The person, who likes Guava, lives on the topmost floor. Neither O nor K likes Mango. More than three people are living below the floor on which the person lives who likes Pineapple. I lives on a floor which is not adjacent to N.

Who among the following lives on the topmost floor?

Solution: N, who likes Banana, lives on the 4th floor.

L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado.

The person, who lives on a floor immediately below M, lives on an odd numbered floor.

The person, who likes Guava, lives on the topmost floor.

Only three floors are there in between the floors on which O and I live.

Neither O nor K lives on the lowermost floor.

Neither K nor J likes Guava.

I lives on a floor which is not adjacent to N.

Neither O nor K likes Mango.

More than three people are living below the floor on which the person lives who likes Pineapple.

I lives on the topmost floor.

QUESTION: 49

Direction: Study the following information and answer the given question.

Seven friends, I, J, K, L, M, N, and O, are living in a seven-storied building with floor 1 being the lowermost floor, but not necessarily in the same order. All of them like seven different fruits, viz. Watermelon, Banana, Mango, Avocado, Guava, Pineapple and Kiwi, but not necessarily in the same order.

N, who likes Banana, lives on the 4th floor. Only three floors are there in between the floors on which O and I live. L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado. Neither O nor K lives on the lowermost floor. Neither K nor J likes Guava. The person, who lives on a floor immediately below M, lives on an odd numbered floor. The person, who likes Guava, lives on the topmost floor. Neither O nor K likes Mango. More than three people are living below the floor on which the person lives who likes Pineapple. I lives on a floor which is not adjacent to N.

Who among the following likes Watermelon?

Solution: N, who likes Banana, lives on the 4th floor.

L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado.

The person, who lives on a floor immediately below M, lives on an odd numbered floor.

The person, who likes Guava, lives on the topmost floor.

Only three floors are there in between the floors on which O and I live.

Neither O nor K lives on the lowermost floor.

Neither K nor J likes Guava.

I lives on a floor which is not adjacent to N.

Neither O nor K likes Mango.

More than three people are living below the floor on which the person lives who likes Pineapple.

O likes Watermelon.

QUESTION: 50

Direction: Study the following information and answer the given question.

Seven friends, I, J, K, L, M, N, and O, are living in a seven-storied building with floor 1 being the lowermost floor, but not necessarily in the same order. All of them like seven different fruits, viz. Watermelon, Banana, Mango, Avocado, Guava, Pineapple and Kiwi, but not necessarily in the same order.

N, who likes Banana, lives on the 4th floor. Only three floors are there in between the floors on which O and I live. L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado. Neither O nor K lives on the lowermost floor. Neither K nor J likes Guava. The person, who lives on a floor immediately below M, lives on an odd numbered floor. The person, who likes Guava, lives on the topmost floor. Neither O nor K likes Mango. More than three people are living below the floor on which the person lives who likes Pineapple. I lives on a floor which is not adjacent to N.

Who among the following lives on the lowermost floor?

Solution: N, who likes Banana, lives on the 4th floor.

L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado.

The person, who lives on a floor immediately below M, lives on an odd numbered floor.

The person, who likes Guava, lives on the topmost floor.

Only three floors are there in between the floors on which O and I live.

Neither O nor K lives on the lowermost floor.

Neither K nor J likes Guava.

I lives on a floor which is not adjacent to N.

Neither O nor K likes Mango.

More than three people are living below the floor on which the person lives who likes Pineapple.

J lives on the lowermost floor.

Hence, the correct option is (B).

QUESTION: 51

Direction: Study the following information and answer the given question.

Seven friends, I, J, K, L, M, N, and O, are living in a seven-storied building with floor 1 being the lowermost floor, but not necessarily in the same order. All of them like seven different fruits, viz. Watermelon, Banana, Mango, Avocado, Guava, Pineapple and Kiwi, but not necessarily in the same order.

N, who likes Banana, lives on the 4th floor. Only three floors are there in between the floors on which O and I live. L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado. Neither O nor K lives on the lowermost floor. Neither K nor J likes Guava. The person, who lives on a floor immediately below M, lives on an odd numbered floor. The person, who likes Guava, lives on the topmost floor. Neither O nor K likes Mango. More than three people are living below the floor on which the person lives who likes Pineapple. I lives on a floor which is not adjacent to N.

Who among the following likes Pineapple?

Solution: N, who likes Banana, lives on the 4th floor.

L, who likes Kiwi, lives on an even numbered floor above M, who likes Avocado.

The person, who lives on a floor immediately below M, lives on an odd numbered floor.

The person, who likes Guava, lives on the topmost floor.

Only three floors are there in between the floors on which O and I live.

Neither O nor K lives on the lowermost floor.

Neither K nor J likes Guava.

I lives on a floor which is not adjacent to N.

Neither O nor K likes Mango.

More than three people are living below the floor on which the person lives who likes Pineapple.

K likes Pineapple.

QUESTION: 52

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Which of the following groups of employees work along with employee A?

Solution: There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

5. Neither E nor F works with G.

6. A works in the HR department but not with C and F.

So, F works in the IT department.

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

Therefore employees E and H work with employee A.

Hence, the correct option is (C).

QUESTION: 53

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Who among the following employees work in the IT department?

Solution: There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

5. Neither E nor F works with G.

6. A works in the HR department but not with C and F.

So, F works in the IT department.

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

Therefore F works in the IT department.

Hence, the correct option is (C).

QUESTION: 54

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Which of the following combinations is correct?

Solution: There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

5. Neither E nor F works with G.

6. A works in the HR department but not with C and F.

So, F works in the IT department.

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

Therefore HR - H is the correct combination.

Hence, the correct option is (B).

QUESTION: 55

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Employee H belongs to which department?

Solution: There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

5. Neither E nor F works with G.

6. A works in the HR department but not with C and F.

So, F works in the IT department.

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

Therefore H belongs to the HR department.

Hence, the correct option is (B).

QUESTION: 56

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Which of the following groups of employees work in the Production Department?

Solution: There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

5. Neither E nor F works with G.

6. A works in the HR department but not with C and F.

So, F works in the IT department.

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

Therefore employees C, G, I work in the Production department.

Hence, the correct option is (C).

QUESTION: 57

In a certain code language, "MAT" is written as "32" and "MAD" is written as "16". How is "MEN" written in that code language?

Solution: The logic follows here is

Sum of Positional value of given alphabets - 2 = code in the number

If we consider place value of alphabets and add them we get,

M + A + T = 13 + 1 + 20 = 34, 34 – 2 = 32

M + A + D = 13 + 1 + 4 = 18, 18 – 2 = 16

Similarly,

M + E + N = 13 + 5 + 14 = 32, 32 – 2 = 30

So, MEN is coded as 30.

Hence, the correct option is (A).

QUESTION: 58

One evening before sunset two friends Sumit and Mohit were talking to each other face to face. If Mohit's shadow was exactly to his right side, which direction was Sumit facing?

Solution: In the evening the sun is in the West and so the shadow falls toward the East. Since, Mohit's shadow falls towards the right so Mohit is facing North. Thus, Sumit is standing face to face with Mohit and is facing South.

Hence, the correct option is (D).

QUESTION: 59

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

If X sits to the immediate right of A, then how many people sit to the right of X?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

If X sits to the immediate right of A, then 7 people sit to the right of X.

QUESTION: 60

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

What is the position of E with respect to B?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

E is fourth to the right with respect to B.

QUESTION: 61

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

How many people were seated between A and E?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

6 people were seated between A and E.

QUESTION: 62

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

How many people were seated between C and F?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

5 people were seated between C and F.

QUESTION: 63

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

How many people were seated to the right of B?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

5 people were seated to the right of B.

QUESTION: 64

Directions [Set of 6 Questions]: Certain number of people were seated in a linear row facing north. Information about only some of them is known. It is known that no three people whose information is known were seated together. D was seated at one of the ends. There were seven people seated between C and G where C was to the left of A. B was seated to the immediate left of F. The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. Three people were seated between B and E where B was to the left of E. Even number of people were seated between A and E.

How many people were seated in the row?

Solution: The number of people seated to the right of A was twice the number of people seated to the left of A. There were not more than 14 people. There were seven people seated between C and G where C was to the left of A.

So we have:

Case 1:

when 3 people were seated to the left of A:

Case 2:

when 4 people were seated to the left of A:

Now, we know that 7 people were seated between C and G.

Case 1a:

Case 1b:

Case 2a:

Case 2b:

Case 2c:

Case 2d:

B was seated to the immediate left of F. Three people were seated between B and E where B was to the left of E. D was seated at one of the ends.

So case 1a, 1b, 2d are invalid.

Case 2a:

Case 2b:

Case 2c:

But we are given that even number of people were seated between A and E. Hence, only case 2b is valid. Finally, we have:

13 people were seated in the row.

QUESTION: 65

Eight family members P, Q, R, S, T, M, N, and K are sitting around a circular table facing inward with equal distance between them but not necessarily in the same order.

R sits opposite of T who sits at the immediate left of M. Two persons are sitting between S and M. Q sits second to the left of N. K and Q are sitting opposite to each other.

Who was sitting second to the right of N?

Solution: Eight people: P, Q, R, S, T, M, N, and K.

1) R sits opposite of T who sits at the immediate left of M.

2) Two persons are sitting between S and M.

3) K and Q are sitting opposite each other.

4) Q sits second to the left of N.

There is only one condition by which we can place Q, K, and N because we have to satisfy points 3 and 4 as mentioned above. Place of members as mentioned below.

The only person left is P.

Thus, the final arrangement is as follows:

Therefore "K" sits second to the right of N.

Hence, the correct option is (B).

QUESTION: 66

Eight family members P, Q, R, S, T, M, N, and K are sitting around a circular table facing inward with equal distance between them but not necessarily in the same order.

R sits opposite of T who sits at the immediate left of M. Two persons are sitting between S and M. Q sits second to the left of N. K and Q are sitting opposite to each other.

Who is sitting opposite to P?

Solution: Eight people: P, Q, R, S, T, M, N, and K.

1) R sits opposite of T who sits at the immediate left of M.

2) Two persons are sitting between S and M.

3) K and Q are sitting opposite each other.

4) Q sits second to the left of N.

There is only one condition by which we can place Q, K, and N because we have to satisfy points 3 and 4 as mentioned above. Place of members as mentioned below.

The only person left is P.

Thus, the final arrangement is as follows:

Therefore "S" sits opposite to P.

Hence, the correct option is (C).

QUESTION: 67

Eight family members P, Q, R, S, T, M, N, and K are sitting around a circular table facing inward with equal distance between them but not necessarily in the same order.

R sits opposite of T who sits at the immediate left of M. Two persons are sitting between S and M. Q sits second to the left of N. K and Q are sitting opposite to each other.

Who is sitting at the immediate right of Q?

Solution: Eight people: P, Q, R, S, T, M, N, and K.

1) R sits opposite of T who sits at the immediate left of M.

2) Two persons are sitting between S and M.

3) K and Q are sitting opposite each other.

4) Q sits second to the left of N.

There is only one condition by which we can place Q, K, and N because we have to satisfy points 3 and 4 as mentioned above. Place of members as mentioned below.

The only person left is P.

Thus, the final arrangement is as follows:

Therefore "R" sits at the immediate right of Q.

Hence, the correct option is (A).

QUESTION: 68

Eight family members P, Q, R, S, T, M, N, and K are sitting around a circular table facing inward with equal distance between them but not necessarily in the same order.

R sits opposite of T who sits at the immediate left of M. Two persons are sitting between S and M. Q sits second to the left of N. K and Q are sitting opposite to each other.

Who is sitting between Q and N when counted from the right of Q?

Solution: Eight people: P, Q, R, S, T, M, N, and K.

1) R sits opposite of T who sits at the immediate left of M.

2) Two persons are sitting between S and M.

3) K and Q are sitting opposite each other.

4) Q sits second to the left of N.

There is only one condition by which we can place Q, K, and N because we have to satisfy points 3 and 4 as mentioned above. Place of members as mentioned below.

The only person left is P.

Thus, the final arrangement is as follows:

Therefore "R" is sitting between Q and N when counted from the right of Q.

Hence, the correct option is (E).

QUESTION: 69

Eight family members P, Q, R, S, T, M, N, and K are sitting around a circular table facing inward with equal distance between them but not necessarily in the same order.

R sits opposite of T who sits at the immediate left of M. Two persons are sitting between S and M. Q sits second to the left of N. K and Q are sitting opposite to each other.

What is the position of T with respect to S?

Solution: Eight people: P, Q, R, S, T, M, N, and K.

1) R sits opposite of T who sits at the immediate left of M.

2) Two persons are sitting between S and M.

3) K and Q are sitting opposite each other.

4) Q sits second to the left of N.

There is only one condition by which we can place Q, K, and N because we have to satisfy points 3 and 4 as mentioned above. Place of members as mentioned below.

The only person left is P.

Thus, the final arrangement is as follows:

Therefore T is "second to the right" of S.

Hence, the correct option is (A).

QUESTION: 70

Choose the option which is different from the others.

Solution: “KU” is different from the given options because it does not follow the logic given below

K (11) × 2 = 22 (V); (as we know place value of U is 21)

E (5) × 2 = 10 (J)

H (8) × 2 = 16 (P)

A (1) × 2 = 2 (B)

L (12) × 2 = 24 (X)

Hence the correct option is (C).

QUESTION: 71

Direction: Read the following information carefully to give the answer to the question based on it.

Eight friends Manoj, Naru, Omar, Praveen, Quadim, Ram, Sneha, and Tamim are sitting around a circular table and facing the centre.

Two person sit between Omar and Ram. Praveen sits second to the left of Tamim. Two persons sit between Manoj and Naru. Praveen and Sneha are not immediate neighbours. Sneha sits opposite to Naru. Omar sits second to the left of Sneha. Quadim is not a neighbour of Praveen.

Who among the following sits opposite to Ram?

Who among the following sits opposite to Ram?

Solution: Two persons sit between Manoj and Naru. Sneha sits opposite to Naru. Omar sits second to the left of Sneha.

Two person sit between Omar and Ram. Praveen sits second to the left of tamim. Praveen and Sneha are not immediate neighbours. Quadim is not a neighbour of Praveen.

This is the final arrangement.

Therefore Tamim sits opposite to Ram.

Hence the correct option is (A).

QUESTION: 72

Direction: Read the following information carefully to give the answer to the question based on it.

Eight friends Manoj, Naru, Omar, Praveen, Quadim, Ram, Sneha, and Tamim are sitting around a circular table and facing the centre.

Two person sit between Omar and Ram. Praveen sits second to the left of Tamim. Two persons sit between Manoj and Naru. Praveen and Sneha are not immediate neighbours. Sneha sits opposite to Naru. Omar sits second to the left of Sneha. Quadim is not a neighbour of Praveen.

What is the position of Praveen with respect to Manoj.

Solution: Two persons sit between Manoj and Naru. Sneha sits opposite to Naru. Omar sits second to the left of Sneha.

Two person sit between Omar and Ram. Praveen sits second to the left of tamim. Praveen and Sneha are not immediate neighbours. Quadim is not a neighbour of Praveen.

This is the final arrangement.

Therefore "Fourth to the left" is the position of Praveen with respect to Manoj.

Hence the correct option is (B).

QUESTION: 73

Direction: Read the following information carefully to give the answer to the question based on it.

Eight friends Manoj, Naru, Omar, Praveen, Quadim, Ram, Sneha, and Tamim are sitting around a circular table and facing the centre.

Two person sit between Omar and Ram. Praveen sits second to the left of Tamim. Two persons sit between Manoj and Naru. Praveen and Sneha are not immediate neighbours. Sneha sits opposite to Naru. Omar sits second to the left of Sneha. Quadim is not a neighbour of Praveen.

How many person sit between Sneha and Praveen when counted from left of Praveen?

Solution: Two persons sit between Manoj and Naru. Sneha sits opposite to Naru. Omar sits second to the left of Sneha.

Two person sit between Omar and Ram. Praveen sits second to the left of tamim. Praveen and Sneha are not immediate neighbours. Quadim is not a neighbour of Praveen.

This is the final arrangement.

Therefore 4 person sit between Sneha and Praveen when counted from left of Praveen.

Hence the correct option is (B).

QUESTION: 74

Direction: Read the following information carefully to give the answer to the question based on it.

Eight friends Manoj, Naru, Omar, Praveen, Quadim, Ram, Sneha, and Tamim are sitting around a circular table and facing the centre.

Two person sit between Omar and Ram. Praveen sits second to the left of Tamim. Two persons sit between Manoj and Naru. Praveen and Sneha are not immediate neighbours. Sneha sits opposite to Naru. Omar sits second to the left of Sneha. Quadim is not a neighbour of Praveen.

How many persons are sitting between omar and Quadim?

Solution: Two persons sit between Manoj and Naru. Sneha sits opposite to Naru. Omar sits second to the left of Sneha.

Two person sit between Omar and Ram. Praveen sits second to the left of tamim. Praveen and Sneha are not immediate neighbours. Quadim is not a neighbour of Praveen.

This is the final arrangement.

Therefore 3 persons are sitting between omar and Quadim.

Hence the correct option is (E).

QUESTION: 75

Direction: Read the following information carefully to give the answer to the question based on it.

Eight friends Manoj, Naru, Omar, Praveen, Quadim, Ram, Sneha, and Tamim are sitting around a circular table and facing the centre.

Two person sit between Omar and Ram. Praveen sits second to the left of Tamim. Two persons sit between Manoj and Naru. Praveen and Sneha are not immediate neighbours. Sneha sits opposite to Naru. Omar sits second to the left of Sneha. Quadim is not a neighbour of Praveen.

Who is sitting at immediate left on Ram?

Solution: Two persons sit between Manoj and Naru. Sneha sits opposite to Naru. Omar sits second to the left of Sneha.

Two person sit between Omar and Ram. Praveen sits second to the left of tamim. Praveen and Sneha are not immediate neighbours. Quadim is not a neighbour of Praveen.

This is the final arrangement.

Therefore Quadim is sitting at immediate left on Ram.

Hence the correct option is (C).

QUESTION: 76

In each of the following questions a series begins with an unnumbered figure on the extreme left. One and only of the five numbered figures in the series does not fit into the series does not fit into the series. The two unnumbered figures, one each on the extreme left and extreme right, fit into the series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only one of the five numbered figures which does not fit into the series. The number of that figure is the answer.

Solution: Top right element is shifted to top left position in every step.

Remaining elements in the top row are shifted right by 1 position

Bottom left element is shifted to bottom right position in every step and remaining elements in the bottom row are shifted left by 1 position.

Hence, the correct option is (D)

QUESTION: 77

In each of the following questions a series begins with an unnumbered figure on the extreme left. One and only of the five numbered figures in the series does not fit into the series does not fit into the series. The two unnumbered figures, one each on the extreme left and extreme right, fit into the series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only one of the five numbered figures which does not fit into the series. The number of that figure is the answer

Solution: In every step, image is rotated by 45o in anti-clockwise direction.

Middle element is interchanged with elements on either side alternately and the remaining element will be replaced with a new element.

QUESTION: 78

In each of the following questions a series begins with an unnumbered figure on the extreme left. One and only of the five numbered figures in the series does not fit into the series does not fit into the series. The two unnumbered figures, one each on the extreme left and extreme right, fit into the series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only one of the five numbered figures which does not fit into the series. The number of that figure is the answer

Solution: In every step, image is rotated by 90o in anti-clockwise direction

Element at the edge is removed and new element is added. This is repeated alternately.

Figure 3 does not satisfy above contion.

Hence, option 3 is the correct answer.

QUESTION: 79

In each of the following questions a series begins with an unnumbered figure on the extreme left. One and only of the five numbered figures in the series does not fit into the series does not fit into the series. The two unnumbered figures, one each on the extreme left and extreme right, fit into the series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only one of the five numbered figures which does not fit into the series. The number of that figure is the answer

Solution: Upper element is rotated by 90o in anti-clockwise direction.

Mirror image of the lower element is added to itself in step 1. In next steps, lower element in the first box and its mirror image is added alternately

Figure 5 does not satisfy these conditions

QUESTION: 80

In each of the following questions a series begins with an unnumbered figure on the extreme left. One and only of the five numbered figures in the series does not fit into the series does not fit into the series. The two unnumbered figures, one each on the extreme left and extreme right, fit into the series. You have to take as many aspects into account as possible of the figures in the series and find out the one and only one of the five numbered figures which does not fit into the series. The number of that figure is the answer

Solution: Pentagon rotates by 900 in clockwise direction.

Line shifts inside and outisde alternately by 2 sides.

Hence, the correct option is (A).

QUESTION: 81

Select a figure from amongst the options which will continue the same series as established by the four Problem Figures.

Solution: In each step, one line disappears from the upper part of the figure and one line is added to the lower part of the figure.

Hence, the last figure would be A.

QUESTION: 82

In each of the questions given below, which one of the five Answer Figures on the right should come after the Problem Figures on the left, if the sequence were continued?

Problem figures

Solution: Elements outside the small square shift by 1 position in anti-clockwise direction. For every two steps, bottom right elements of small square and big square interchange positions.

Elements within the small square interchange positions diagonally.:

QUESTION: 83

In each of the questions given below, which one of the five Answer Figures on the right should come after the Problem Figures on the left, if the sequence were continued?

Solution: From step 1 to step 2: right middle, left middle, top middle and bottom middle rotate(shift) by 1 position in anti-clockwise direction.

Remaining elements rotate by 1 position in anti-clockwise direction

From step 2 to step 3:

Bottom middle remains same.

Remaining elements interchange positions along the same column.

These two steps repeat alternately.

QUESTION: 84

In each of the questions given below, which one of the five Answer Figures on the right should come after the Problem Figures on the left, if the sequence were continued?

Solution: The crossed square shifts by 1, 2, 3, 4... positions in clockwise direction.

Element at the centre is replaced by new element in every step.

QUESTION: 85

In each of the questions given below, which one of the five Answer Figures on the right should come after the Problem Figures on the left, if the sequence were continued?

Solution: Circle and square are placed at the centre alternately. Line with arrow rotates by 90 degrees in clockwise direction in alternate steps. Line without arrow rotates by 45 degrees in clockwise direction in every step
QUESTION: 86

In each of the following questions in four out of the five figures, element I is related to element II in the some particular way. Find out the figure in which the element I is NOT related to element II.

Solution: First image is rotated by 180o in the second image.

Figure 3 does not satisfy this condition.

QUESTION: 87

In each of the following questions in four out of the five figures, element I is related to element II in the some particular way. Find out the figure in which the element I is NOT related to element II.

Solution: In the second image, left element is mirror image of first image and right element is the inverted image of the first element.

Figure 5 does not satisfy this condition.

QUESTION: 88

In each of the following questions in four out of the five figures, element I is related to element II in the some particular way. Find out the figure in which the element I is NOT related to element II.

Solution: First image is horizontally cut and then dark shade and white shade are interchanged.

Figure 2 does not satisfy this condition.

QUESTION: 89

In each of the following questions in four out of the five figures, element I is related to element II in the some particular way. Find out the figure in which the element I is NOT related to element II.

Solution: In the second image, only one element from first image is selected and rotated by 90o in anti-clockwise direction.

Figure 4 does not satisfy this condition.

QUESTION: 90

In each of the following questions in four out of the five figures, element I is related to element II in the some particular way. Find out the figure in which the element I is NOT related to element II.

Solution: First image is rotated by 180o and then mirror image is added from left side.

Figure 2 does not satisfy this condition.

QUESTION: 91

Select a figure from amongst the answer figures which will continue the same series as established by the five Problem Figures.

Solution: The figures are shifting by one place in clockwise direction. The number of figures is decreasing by one.
QUESTION: 92

Select a figure from amongst the answer figures which will continue the same series as established by the five Problem Figures.

Solution: The curves are increasing in the order 1, 2, 4, 8, 16 and the dot is moving by one place in the clockwise manner.
QUESTION: 93

Select a figure from amongst the answer figures which will continue the same series as established by the five Problem Figures.

Solution: First circle is shifting by 1 place at a time and the 2nd circle is shifting at a gap of 1, 2, 3 and 4.
QUESTION: 94

Select a figure from amongst the answer figures which will continue the same series as established by the five Problem Figures.

Solution: The first and 4th squares are shifting by one place and the 2nd and the 3rd squares are shifting at a gap of 1.
QUESTION: 95

Select a figure from amongst the answer figures which will continue the same series as established by the five Problem Figures.

Solution: In 2nd square mirror image of 1st 2 figures are taken, similarly in 3rd square the mirror image of 1st 3 figures of square 2 is taken and so on
QUESTION: 96

Choose a figure which would most closely resemble the first pair?

Solution: The alphabets are mirror image and are changing position in the anticlockwise direction.
QUESTION: 97

Choose a figure which would most closely resemble first pair?

Solution: The circles are shifting in the squares with numeric value twice that of the initial value.
QUESTION: 98

Choose a figure which would most closely resemble first pair?

Solution: Option 2 makes the right pair with the 3rd figure.
QUESTION: 99

Choose a figure which would most closely resemble first pair?

Solution: Outermost figure goes to 3rd place from outer side, 2nd figure from outer side remains at original place, 3rd figure from outer side goes in the centre and the innermost figure comes at the outermost place. Thus, following the same we get the 1st option as the pair
QUESTION: 100

Choose a figure which would most closely resemble first pair?

Solution: Column 5 becomes column 4, 2 becomes 1, 3 becomes 2, 4 becomes 3 and the leftmost column becomes rightmost.

Following similar pattern, we get option b as the answer.

QUESTION: 101

Directions: Refer to the following table and answer the given questions.

1000 candidates have appeared for a job selection process. Their scores in a written test of 300 marks and a personal interview of 100 marks are given in the following table. The entries in the table denote the number of candidates.

Total number of candidates scoring not more than 39% in the interview exceeds the total number of candidates scoring not more than 109 marks in the written test by

Solution: Required number of student (124+221)-(190+96) = 59. Hence, option (b).
QUESTION: 102

Directions: Refer to the following table and answer the given questions.

1000 candidates have appeared for a job selection process. Their scores in a written test of 300 marks and a personal interview of 100 marks are given in the following table. The entries in the table denote the number of candidates.

If approximately 325 candidates are to be qualified in the written test, what should be the percentage of the qualifying marks in the written test?

Solution: If around 325 candidate qualified in written test, then they are from top three marks group. So, the required marks for qualifying is 160. Required % age = (160100)/300 = 53% (approx). Hence, option (a).
QUESTION: 103

Directions: Refer to the following table and answer the given questions.

1000 candidates have appeared for a job selection process. Their scores in a written test of 300 marks and a personal interview of 100 marks are given in the following table. The entries in the table denote the number of candidates.

What is the approximate average mark in the written test? (the mid — points of the class intervals can be taken for the average calculations).

Solution: Avg. Marks for written test

= 950/6 » 155. Hence, option (a).

QUESTION: 104

Directions: Refer to the following table and answer the given questions.

1000 candidates have appeared for a job selection process. Their scores in a written test of 300 marks and a personal interview of 100 marks are given in the following table. The entries in the table denote the number of candidates.

If the qualifying marks in the written test is 160 & the qualifying marks for the interview is reduced from 40 to 30, how many candidates would benefit from it?

Solution: The benefited candidate are from(30-39) interview group and having more than 160 marks.

So, (18 +4+10) = 32. Hence, option (b).

QUESTION: 105

Directions: Refer to the following table and answer the given questions.

1000 candidates have appeared for a job selection process. Their scores in a written test of 300 marks and a personal interview of 100 marks are given in the following table. The entries in the table denote the number of candidates.

What percentage of the total number of students get 260 or more marks in the written test?

Solution: Required % =

Hence, option (b) is the correct answer.

QUESTION: 106

Directions: In each of the question given below there is a series with one term missing as shown by a question mark. This term is given as one of the alternatives among the five numbers given in the answer choices. Find this term.

1,1,8,4,27,9,….

Solution: 1,1,8,4,27,9 …….

13, 12,23,22,33,32, 43. Next term will be 64.

Hence, option (a).

QUESTION: 107

Directions: In each of the question given below there is a series with one term missing as shown by a question mark. This term is given as one of the alternatives among the five numbers given in the answer choices. Find this term.

1, 1, 6, 6, 11, 11,?

Solution: 1, 1, 6, 6, 11, 11….

Difference 0 5 0 5 0

Next term will be 16. Hence, option (c).

QUESTION: 108

Directions: In each of the question given below there is a series with one term missing as shown by a question mark. This term is given as one of the alternatives among the five numbers given in the answer choices. Find this term.

3,5,9,15,23,33,45,59,?

Solution: Add 2,4,6,8,10,12,14,16 to the pervious terms to get the next term respectively. Hence, option (b).
QUESTION: 109

Directions: In each of the question given below there is a series with one term missing as shown by a question mark. This term is given as one of the alternatives among the five numbers given in the answer choices. Find this term.

512,256,128,?,32,16,8

Solution: Divide the previous number by two to get the next term. Hence, option (c).
QUESTION: 110

Directions: In each of the question given below there is a series with one term missing as shown by a question mark. This term is given as one of the alternatives among the five numbers given in the answer choices. Find this term.

2187,64,243,16,?,4,3

Solution: The sequence forms (3)7, (2)6, (3)5, (2)4,(3)3, (2)2, (3)1. Hence, option (b).
QUESTION: 111

Directions: A and B together can do a piece of work in 8 days, but A alone can do it in 15 days. How many days would B alone take to do the same work?

Solution: Let B can do the work in d days.

Then,

Or,

Or,

QUESTION: 112

Directions: Find the sum of all 4 digit numbers formed by using the digits 2, 3, 6, 9 in which no digit is repeated.

Solution: Consider 2 in the units digit: The other digits can be arranged in 3! ways. Similarly, if 2 is in tens, hundreds, thousands place, we get 3! numbers.

Contribution of 2 to the overall sum = 2 × 3! × (1 + 10 + 100 + 1000) = 2 x× 3! × 1111

Similarly contribution of 3, 6, 9 will be 3 × 3! × 1111, 6 × 3! × 1111 and 9 × 3! × 1111 respectively.

Overall sum = (2 + 3 + 6 + 9) × 3! × 1111 = 133320

QUESTION: 113

Directions: A newly bought motorcycle requires 5/6 hour service time every 90 days, while after overhauling 5/6 hour service time after every 120 days. What fraction of the pre-hauling service time is saved in the latter case?

Solution: LCM of 90 and 120 is 360

So, in 360 days, the pre-hauling service time = 5/6 × 360/90 = 10/3 hrs

After overhauling, the service time = 5/6 × 360/120 = 5/2 hrs

Time saved = 10/3- 5/2= 5/6 hrs

The required answer = (5/6)/(10/3) = 1/4 hours.

QUESTION: 114

Directions: SBI borrows a certain amount from RBI for 3 years at 10% simple interest and it gives this entire amount to Future Group on compound interest for 3 years at the same rate annually. What will be the percentage earning of SBI at the end of 3 years on the entire amount?

Solution: Let the borrowed amount be Rs. 100.

The amount SBI has to repay to RBI after 3 years = 100+100×3×10/100 = 130

The amount Future Group will pay to SBI after 3 years = 100(1+10/100)3 = 133.1

Profit of SBI in = 133.1-130 = 3.1

SBI gets this profit spending Rs. 30

Hence the profit percentage = (3.1×100) /30 = 10.33%

QUESTION: 115

Directions: What will be the probability of all 5-digit natural numbers, whose sum of digits is 43 being divisible by 11?

Solution: Using 5 digits, a sum of 43 can be obtained as (9 9 9 9 7) or (9 9 9 8 8).

If the digits of the number are (9 9 9 9 7), we can have 5!/4! = 5 such numbers.

If the digits of the number are (9 9 9 8 8), we can have 5!/(3!2!) = 10 such numbers.

So, there are 15 5-digit natural numbers whose sum of digits is 43.

Of these 15 natural numbers, only 99979, 97999 and 98989 are multiples of 11.

Therefore, the required probability is 3/90000

QUESTION: 116

Directions: In ∆xyz, xy = 10,yz = 10, and ∠a = 84

What is the degree measure of ∠z?

Solution: Since XY = YZ = 10, then △XYZ is an isosceles triangle and ∠X = ∠Z

∠Y = 84°, since it forms a vertical angle with the given, Hence, the measure of ∠Z = 48°.

∠X+∠Y+∠Z = 180° or ∠X+84+∠Z = 180°

2(∠Z)+84° = 180° or 2(∠Z) = 96 or ∠Z = 48°

Therefore, the measure of ∠Z = 48°. Hence Option (c) is the correct answer.

QUESTION: 117

Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?

Solution: Area of larger circle=144π.

Since area= πr2, then

πr2=144π,

r2=144; r=12; radius of larger circle=12, diameter of smaller circle=12

Area of smaller circle =πr2= π(6)2=36π. Hence, option is (b).

QUESTION: 118

Direction : Read the following graph carefully and answer the question given below.

What is the percentage increase in the number of persons using mobile A in 2013 as compared to the previous year?

Solution: Number of persons using mobile A in 2013 = 28×1000 = 28,000

Number of persons using mobile A in 2012 = 20×1000 = 20,000

Percentage increase

= 28.57%

Hence, the correct option is (E).

QUESTION: 119

Direction : Read the following graph carefully and answer the question given below.

The total number of persons using all four mobiles in 2012 is what percent of the total number of persons using all four mobiles in 2014?

Solution: Total number of persons using all four mobiles in 2012

= (20+26+34+22) × 1000 = 10200

Total number of persons using all four mobiles in 2014

= (16+38+32+48) × 1000 = 134000

Percentage (= 10200/134000 × 100 = 76.11%)

QUESTION: 120

Direction : Read the following graph carefully and answer the question given below.

What is the approximate average number of persons using mobile C in all years together?

Solution: The average number of persons using mobile C in all years together,

Hence, the correct option is (B).

QUESTION: 121

Direction : Read the following graph carefully and answer the question given below.

What is the difference between the total number of persons using mobile D in all years together and the total number of persons using mobile B in all years together?

Solution: Total number of persons using mobile D in all years together

= (42+22+34+48+20+28) × 1000 = 194000

Total number of persons using mobile B in all years together

= (22+26+44+38+24+22) × 1000 = 176000

Difference = 194000 - 176000 = 18000

QUESTION: 122

Direction : Read the following graph carefully and answer the question given below.

What is the sum of number of persons using mobile A and C together in 2015 and number of persons using mobile B and D in 2016?

Solution: Solution Number of persons using mobile A and C together in 2015

= (34+40)×1000 = 74000

Number of persons using mobile B and D together in 2016

= (22+28)1000 = 50000

Sum = 74000 - 50000 = 124000

QUESTION: 123

Direction : What will come in place of the question mark (?) in the following number series?

294,298,?, 356,426,534

Solution: The pattern is

294 + . 5 × 8 = 298

298 + 1. 5 × 12 = 316

316 + 2. 5 × 16 = 356

356 + 3. 5 × 20 = 426

426 + 4. 5 × 24 = 534

QUESTION: 124

Direction : What will come in place of the question mark (?) in the following number series?

198,?, 248, 260, 266,268

Solution: The pattern is

198 + 6 × 5 = 228

228 + 5 × 4 = 248

248 + 4 × 3 = 260

260 + 3 × 2 = 266

266 + 2 × 1 = 268

QUESTION: 125

Direction : What will come in place of the question mark (?) in the following number series?

?, 426, 399, 463, 338, 554

Solution: The pattern is

418+23 = 426

426-33 = 399

399+43 = 463

463-53 = 338

388+63 = 554

QUESTION: 126

Direction : What will come in place of the question mark (?) in the following number series?

348,480,636,818,1028,?

Solution: The pattern is

348 + 11 × 12 = 480

480 + 12 × 13 = 636

636 + 13 × 14 = 818

818 + 14 × 15 = 1028

1028 + 15 × 16 = 1268

QUESTION: 127

Direction : What will come in place of the question mark (?) in the following number series?

2, 27, 77, ?, 252, 377

Solution: 2+52×1 = 27

27+52×2 = 77

77+52×3 = 152

152+52×4 = 252

252+52×5 = 337

QUESTION: 128

The numerator of a fraction is increase by 160% and the denominator is decreased by 30%. If the resultant fraction is (4/7). What is the original fraction?

Solution: Let the original fraction be (100x/100y). then,

According to the question,

The original fraction = 2/13

QUESTION: 129

When 96 is multiplied to 25% of a number the result thus obtained is obtained 75% of 9408. What is the number?

Solution: Let the number be x, then

According to the question,

25% of x × 96 = 75% x

(25/100 x × x 96 = 75/100 × 9408)

25x = 75 × 98

x = 3 × 98

x = 294

So, the number = 294

QUESTION: 130

Twenty years ago suresh was four times older than raman. After 20 years, the suresh will be twice older than raman. The present age of raman is:

Solution: Let the age of raman be x year, then

Age of suresh = 4x

According to the question,

(4x+20+20/x+20+20 = 2/1)

4x + 40 = (x + 40 ) X 2

4x + 40 = 2x + 80

4x - 2x = 80 - 40

2x = 40

x = 20

Present age of raman = x + 20 + 20 = 40

QUESTION: 131

An amount is given at an interest of 20% per annum. What is the amount, if the difference between CI and SI for 3 years is Rs. 1049.6?

Solution: Given,

r = 20%

CI-SI = 1049.6

t = 3 years

According to the question,

P×128 = 1049600

P = 8200

QUESTION: 132

The area of two circles is 3850 cm2 and 1386 cm2 respectively. What is the difference between the circumference of the larger circle and the smaller circle?

Solution:

According to the question,

Area of the large circle = πr12

3850 = πr12

Area of the smaller circle = πr22

Difference = (2πr1-2πr2)

= 220-132 = 88

QUESTION: 133

Directions: In a stadium, each player plays either tennis or badminton, but not both. Each of them plays in either junior or senior category. It is also known that:

(i) The ratio of the number of male players to the number of female players is 3: 2.

(ii) 50% of the players who play badminton are male.

(iii) The total number of players who play tennis is 1250.

(iv) 80% of the badminton players play for the junior team.

(v) All the players who play tennis are male.

(vi) The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

(vii) The number of female players who play badminton for the junior team is 2000.

What is the total number of players in the stadium?

Solution: Let's construct a table and fill in the values

The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

Let this number be A.

80% of the badminton players play for the junior team. This implies 20% of the badminton players play for the senior team.

Hence, ratio of junior and senior badminton players = 4:1

We know, there are 2000 junior female badminton players. So, the number of junior male badminton players should be a multiple of 4. Let this number be 4B.

As calculated above, ratio of junior and senior badminton players = 4:1

From the table, junior badminton players = 4B + 2000, so number of senior badminton players = B + 500

Senior male badminton players = B + 500 - A

Also, junior male tennis players = 1250 - A

Adding the values in the table:

The ratio of the number of male players to the number of female players is 3: 2.

(4B + 1250 - A + 500 + B) : (2000 + A) = 3:2

⇒ 2(1750 + 5B - A) = 3(2000 + A)

⇒ 3500 + 10B - 2A = 6000 + 3A

⇒ 2B - A = 500 (i)

50% of the players who play badminton are male.

4B + 500 + B - A = 2000 + A

⇒ 5B - 2A = 1500 (ii)

Solving (i) and (ii), we get A = 500, B = 500.

Substituting the values in the table,

The total number of players in the stadium is 6250.

QUESTION: 134

Directions: In a stadium, each player plays either tennis or badminton, but not both. Each of them plays in either junior or senior category. It is also known that:

(i) The ratio of the number of male players to the number of female players is 3: 2.

(ii) 50% of the players who play badminton are male.

(iii) The total number of players who play tennis is 1250.

(iv) 80% of the badminton players play for the junior team.

(v) All the players who play tennis are male.

(vi) The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

(vii) The number of female players who play badminton for the junior team is 2000.

What is the ratio of the number of female players who play badminton for senior team to the number of female players who play badminton for junior team?

Solution: Let's construct a table and fill in the values

The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

Let this number be A.

80% of the badminton players play for the junior team. This implies 20% of the badminton players play for the senior team.

Hence, ratio of junior and senior badminton players = 4:1

We know, there are 2000 junior female badminton players. So, the number of junior male badminton players should be a multiple of 4. Let this number be 4B.

As calculated above, ratio of junior and senior badminton players = 4:1

From the table, junior badminton players = 4B + 2000, so number of senior badminton players = B + 500

Senior male badminton players = B + 500 - A

Also, junior male tennis players = 1250 - A

Adding the values in the table:

The ratio of the number of male players to the number of female players is 3: 2.

(4B + 1250 - A + 500 + B) : (2000 + A) = 3:2

⇒ 2(1750 + 5B - A) = 3(2000 + A)

⇒ 3500 + 10B - 2A = 6000 + 3A

⇒ 2B - A = 500 (i)

50% of the players who play badminton are male.

4B + 500 + B - A = 2000 + A

⇒ 5B - 2A = 1500 (ii)

Solving (i) and (ii), we get A = 500, B = 500.

Substituting the values in the table,

The number of female players who play badminton for senior team = 500

The number of female players who play badminton for junior team = 2000

Required ratio = 500:2000 = 1:4

QUESTION: 135

Directions: In a stadium, each player plays either tennis or badminton, but not both. Each of them plays in either junior or senior category. It is also known that:

(i) The ratio of the number of male players to the number of female players is 3: 2.

(ii) 50% of the players who play badminton are male.

(iii) The total number of players who play tennis is 1250.

(iv) 80% of the badminton players play for the junior team.

(v) All the players who play tennis are male.

(vi) The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

(vii) The number of female players who play badminton for the junior team is 2000.

What is the total number of male players who play for senior team?

Solution: Let's construct a table and fill in the values

The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

Let this number be A.

80% of the badminton players play for the junior team. This implies 20% of the badminton players play for the senior team.

Hence, ratio of junior and senior badminton players = 4:1

We know, there are 2000 junior female badminton players. So, the number of junior male badminton players should be a multiple of 4. Let this number be 4B.

As calculated above, ratio of junior and senior badminton players = 4:1

From the table, junior badminton players = 4B + 2000, so number of senior badminton players = B + 500

Senior male badminton players = B + 500 - A

Also, junior male tennis players = 1250 - A

Adding the values in the table:

The ratio of the number of male players to the number of female players is 3: 2.

(4B + 1250 - A + 500 + B) : (2000 + A) = 3:2

⇒ 2(1750 + 5B - A) = 3(2000 + A)

⇒ 3500 + 10B - 2A = 6000 + 3A

⇒ 2B - A = 500 .....(i)

50% of the players who play badminton are male.

4B + 500 + B - A = 2000 + A

⇒ 5B - 2A = 1500 .....(ii)

Solving (i) and (ii), we get A = 500, B = 500.

Substituting the values in the table,

The number of male players who play for senior team = 1000

QUESTION: 136

Directions: In a stadium, each player plays either tennis or badminton, but not both. Each of them plays in either junior or senior category. It is also known that:

(i) The ratio of the number of male players to the number of female players is 3: 2.

(ii) 50% of the players who play badminton are male.

(iii) The total number of players who play tennis is 1250.

(iv) 80% of the badminton players play for the junior team.

(v) All the players who play tennis are male.

(vi) The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

(vii) The number of female players who play badminton for the junior team is 2000.

What percent of the total players play for junior team?

Solution: Let's construct a table and fill in the values

The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

Let this number be A.

80% of the badminton players play for the junior team. This implies 20% of the badminton players play for the senior team.

Hence, ratio of junior and senior badminton players = 4:1

We know, there are 2000 junior female badminton players. So, the number of junior male badminton players should be a multiple of 4. Let this number be 4B.

As calculated above, ratio of junior and senior badminton players = 4:1

From the table, junior badminton players = 4B + 2000, so number of senior badminton players = B + 500

Senior male badminton players = B + 500 - A

Also, junior male tennis players = 1250 - A

Adding the values in the table:

The ratio of the number of male players to the number of female players is 3: 2.

(4B + 1250 - A + 500 + B) : (2000 + A) = 3:2

⇒ 2(1750 + 5B - A) = 3(2000 + A)

⇒ 3500 + 10B - 2A = 6000 + 3A

⇒ 2B - A = 500 .....(i)

50% of the players who play badminton are male.

4B + 500 + B - A = 2000 + A

⇒ 5B - 2A = 1500 .....(ii)

Solving (i) and (ii), we get A = 500, B = 500.

Substituting the values in the table,

The number of players who play for junior team = 2750 + 2000 = 4750

Required percentage = (4750/6250) × 100 = 76%

QUESTION: 137

Directions: In a stadium, each player plays either tennis or badminton, but not both. Each of them plays in either junior or senior category. It is also known that:

(i) The ratio of the number of male players to the number of female players is 3: 2.

(ii) 50% of the players who play badminton are male.

(iii) The total number of players who play tennis is 1250.

(iv) 80% of the badminton players play for the junior team.

(v) All the players who play tennis are male.

(vi) The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

(vii) The number of female players who play badminton for the junior team is 2000.

What is the ratio of the number of senior tennis players to the number of senior badminton players?

Solution: Let's construct a table and fill in the values

The number of female players who play badminton for the senior team is equal to the total number of players who play tennis for the senior team.

Let this number be A.

80% of the badminton players play for the junior team. This implies 20% of the badminton players play for the senior team.

Hence, ratio of junior and senior badminton players = 4:1

We know, there are 2000 junior female badminton players. So, the number of junior male badminton players should be a multiple of 4. Let this number be 4B.

As calculated above, ratio of junior and senior badminton players = 4:1

From the table, junior badminton players = 4B + 2000, so number of senior badminton players = B + 500

Senior male badminton players = B + 500 - A

Also, junior male tennis players = 1250 - A

Adding the values in the table:

The ratio of the number of male players to the number of female players is 3: 2.

(4B + 1250 - A + 500 + B) : (2000 + A) = 3:2

⇒ 2(1750 + 5B - A) = 3(2000 + A)

⇒ 3500 + 10B - 2A = 6000 + 3A

⇒ 2B - A = 500 .....(i)

50% of the players who play badminton are male.

4B + 500 + B - A = 2000 + A

⇒ 5B - 2A = 1500 .....(ii)

Solving (i) and (ii), we get A = 500, B = 500.

Substituting the values in the table,

The number of senior tennis players = 500

The number of senior badminton players = 500+500 = 1000

Required ratio = 500:1000 = 1:2

QUESTION: 138

Directions: A chartered accountant audited four companies - M, N, O and P. All these companies pay a 40% tax on profits, which are computed as the difference between the Sales and Expenses. The below information is known about the companies:

• M reported profits as 15% of sales, while O reported profits as one-sixth of its expenses.

• The sales of N and O were each equal to four times the profits of N.

• The profits of O and P were each equal to one fifth of the sales of P.

• M reported expenses as 15% less than the expenses of O which reported expenses as Rs. 43.2 crores.

• The audit revealed that the actual values were different from the reported. The following observations were made:

• The profits of O were reported 20% less than actual.

• The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual.

• The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

What was the total reported expenses of the four companies?

Solution: O reported expenses as Rs. 43.2 crores and reported profits as one-sixth of its expenses.

Profits of O = 43.2 × 1/6 = 7.2 crore

Sales of O = 43.2 + 7.2 = 50.4 crore

M reported expenses as 15% less than the expenses of O.

So, expenses of M = 43.2 × 0.85 = 36.72 crore.

M reported profits as 15% of sales, means it reported expenses as 85% of sales.

Sales of M = 36.72 × 100/85 = 43.2 crore

Profits of M = 43.2 - 36.72 = 6.48 crore

The sales of N and O were each equal to four times the profits of N

It means, sales of N = 50.4 crore

Profits of N = 50.4/4 = 12.6 crore

The profits of O and P were each equal to one fifth of the sales of P

So, profits of P = 7.2 crore

Sales of P = 7.2 × 5 = 36 crore

Hence, expenses of P = 36 - 7.2 = 28.8 crore

Now, calculating the actual values:

The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Hence, the actual expenses of these companies were:

M = 36.72 × 100/120 = 30.6 crore

N = 37.8 × 100/120 = 31.5 crore

O = 43.2 × 100/120 = 36 crore

P = 28.8 × 100/125 = 23.04 crore

The profits of O were reported 20% less than actual.

Actual profits of O = 7.2 × 100/80 = 9 crore

Hence, actual sales of O = 36 + 9 = 45 crore

The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual

So, actual sales of:

M = 43.2 × 100/90 = 48 crore

N = 50.4 × 100/90 = 56 crore

O = 36 × 100/80 = 45 crore

We can thus calculate their actual profits. We'll get the below result: (all values in crores)

The total reported expenses of the four companies was Rs 146.52 crore.

QUESTION: 139

Directions: A chartered accountant audited four companies - M, N, O and P. All these companies pay a 40% tax on profits, which are computed as the difference between the Sales

and Expenses. The below information is known about the companies:

• M reported profits as 15% of sales, while O reported profits as one-sixth of its expenses.

• The sales of N and O were each equal to four times the profits of N.

• The profits of O and P were each equal to one fifth of the sales of P.

• M reported expenses as 15% less than the expenses of O which reported expenses as Rs. 43.2 crores.

• The audit revealed that the actual values were different from the reported. The following observations were made:

• The profits of O were reported 20% less than actual.

• The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual.

• The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

The actual total expenses of the four companies was what percentage of their actual total sales?

Solution: O reported expenses as Rs. 43.2 crores and reported profits as one-sixth of its expenses.

Profits of O = 43.2 × 1/6 = 7.2 crore

Sales of O = 43.2 + 7.2 = 50.4 crore

M reported expenses as 15% less than the expenses of O.

So, expenses of M = 43.2 × 0.85 = 36.72 crore.

M reported profits as 15% of sales, means it reported expenses as 85% of sales.

Sales of M = 36.72 × 100/85 = 43.2 crore

Profits of M = 43.2 - 36.72 = 6.48 crore

The sales of N and O were each equal to four times the profits of N

It means, sales of N = 50.4 crore

Profits of N = 50.4/4 = 12.6 crore

The profits of O and P were each equal to one fifth of the sales of P

So, profits of P = 7.2 crore

Sales of P = 7.2 × 5 = 36 crore

Hence, expenses of P = 36 - 7.2 = 28.8 crore

Now, calculating the actual values:

The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Hence, the actual expenses of these companies were:

M = 36.72 × 100/120 = 30.6 crore

N = 37.8 × 100/120 = 31.5 crore

O = 43.2 × 100/120 = 36 crore

P = 28.8 × 100/125 = 23.04 crore

The profits of O were reported 20% less than actual.

Actual profits of O = 7.2 x 100/80 = 9 crore

Hence, actual sales of O = 36 + 9 = 45 crore

The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual

So, actual sales of:

M = 43.2 × 100/90 = 48 crore

N = 50.4 × 100/90 = 56 crore

O = 36 × 100/80 = 45 crore

We can thus calculate their actual profits. We'll get the below result: (all values in crores)

Required percentage = 121.14/194 × 100 = 62.44%

QUESTION: 140

Directions: A chartered accountant audited four companies - M, N, O and P. All these companies pay a 40% tax on profits, which are computed as the difference between the Sales

and Expenses. The below information is known about the companies:

• M reported profits as 15% of sales, while O reported profits as one-sixth of its expenses.

• The sales of N and O were each equal to four times the profits of N.

• The profits of O and P were each equal to one fifth of the sales of P.

• M reported expenses as 15% less than the expenses of O which reported expenses as Rs. 43.2 crores.

• The audit revealed that the actual values were different from the reported. The following observations were made:

• The profits of O were reported 20% less than actual.

• The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual.

• The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Had company N reported actual expenditure only, its tax would have increased by

Solution: O reported expenses as Rs. 43.2 crores and reported profits as one-sixth of its expenses.

Profits of O = 43.2 × 1/6 = 7.2 crore

Sales of O = 43.2 + 7.2 = 50.4 crore

M reported expenses as 15% less than the expenses of O.

So, expenses of M = 43.2 × 0.85 = 36.72 crore.

M reported profits as 15% of sales, means it reported expenses as 85% of sales.

Sales of M = 36.72 × 100/85 = 43.2 crore

Profits of M = 43.2 - 36.72 = 6.48 crore

The sales of N and O were each equal to four times the profits of N

It means, sales of N = 50.4 crore

Profits of N = 50.4/4 = 12.6 crore

The profits of O and P were each equal to one fifth of the sales of P

So, profits of P = 7.2 crore

Sales of P = 7.2 × 5 = 36 crore

Hence, expenses of P = 36 - 7.2 = 28.8 crore

Now, calculating the actual values:

The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Hence, the actual expenses of these companies were:

M = 36.72 × 100/120 = 30.6 crore

N = 37.8 × 100/120 = 31.5 crore

O = 43.2 × 100/120 = 36 crore

P = 28.8 × 100/125 = 23.04 crore

The profits of O were reported 20% less than actual.

Actual profits of O = 7.2 × 100/80 = 9 crore

Hence, actual sales of O = 36 + 9 = 45 crore

The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual

So, actual sales of:

M = 43.2 × 100/90 = 48 crore

N = 50.4 × 100/90 = 56 crore

O = 36 × 100/80 = 45 crore

We can thus calculate their actual profits. We'll get the below result: (all values in crores)

In case company N had reported actual expenditure:

Sales = 50.4 crore, expenditure = 31.5 crore.

Profit = 50.4 - 31.5 = 18.9 crore

Tax paid = 18.9 × 0.4 = 7.56 crore.

In the present scenario, tax paid = 12.6 × 0.4 = 5.04 crore.

Hence, increment in tax paid = 7.56 - 5.04 = 2.52 crore.

QUESTION: 141

Directions: A chartered accountant audited four companies - M, N, O and P. All these companies pay a 40% tax on profits, which are computed as the difference between the Sales

and Expenses. The below information is known about the companies:

• M reported profits as 15% of sales, while O reported profits as one-sixth of its expenses.

• The sales of N and O were each equal to four times the profits of N.

• The profits of O and P were each equal to one fifth of the sales of P.

• M reported expenses as 15% less than the expenses of O which reported expenses as Rs. 43.2 crores.

• The audit revealed that the actual values were different from the reported. The following observations were made:

• The profits of O were reported 20% less than actual.

• The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual.

• The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

What is the difference between the actual and reported profits of company P?

Solution:

O reported expenses as Rs. 43.2 crores and reported profits as one-sixth of its expenses.

Profits of O = 43.2 × 1/6 = 7.2 crore

Sales of O = 43.2 + 7.2 = 50.4 crore

M reported expenses as 15% less than the expenses of O.

So, expenses of M = 43.2 × 0.85 = 36.72 crore.

M reported profits as 15% of sales, means it reported expenses as 85% of sales.

Sales of M = 36.72 × 100/85 = 43.2 crore

Profits of M = 43.2 - 36.72 = 6.48 crore

The sales of N and O were each equal to four times the profits of N

It means, sales of N = 50.4 crore

Profits of N = 50.4/4 = 12.6 crore

The profits of O and P were each equal to one fifth of the sales of P

So, profits of P = 7.2 crore

Sales of P = 7.2 × 5 = 36 crore

Hence, expenses of P = 36 - 7.2 = 28.8 crore

Now, calculating the actual values:

The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Hence, the actual expenses of these companies were:

M = 36.72 x 100/120 = 30.6 crore

N = 37.8 × 100/120 = 31.5 crore

O = 43.2 × 100/120 = 36 crore

P = 28.8 × 100/125 = 23.04 crore

The profits of O were reported 20% less than actual.

Actual profits of O = 7.2 x 100/80 = 9 crore

Hence, actual sales of O = 36 + 9 = 45 crore

The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual

So, actual sales of:

M = 43.2 × 100/90 = 48 crore

N = 50.4 × 100/90 = 56 crore

O = 36 × 100/80 = 45 crore

We can thus calculate their actual profits. We'll get the below result: (all values in crores)

Required difference = 21.96 - 7.2 = 14.76 crore.

QUESTION: 142

Which of the following statements is/are correct?

I. Company O made the least profit among the four companies.

II. O is the only company whose reported sales was more than its actual sales.

III. The actual profit of company P was more than 3 times its reported profit.

Solution: O reported expenses as Rs. 43.2 crores and reported profits as one-sixth of its expenses.

Profits of O = 43.2 × 1/6 = 7.2 crore

Sales of O = 43.2 + 7.2 = 50.4 crore

M reported expenses as 15% less than the expenses of O.

So, expenses of M = 43.2 × 0.85 = 36.72 crore.

M reported profits as 15% of sales, means it reported expenses as 85% of sales.

Sales of M = 36.72 × 100/85 = 43.2 crore

Profits of M = 43.2 - 36.72 = 6.48 crore

The sales of N and O were each equal to four times the profits of N

It means, sales of N = 50.4 crore

Profits of N = 50.4/4 = 12.6 crore

The profits of O and P were each equal to one fifth of the sales of P

So, profits of P = 7.2 crore

Sales of P = 7.2 × 5 = 36 crore

Hence, expenses of P = 36 - 7.2 = 28.8 crore

Now, calculating the actual values:

The expenses of M, N and O were reported 20% more than actual while those of P were reported 25% more than actual.

Hence, the actual expenses of these companies were:

M = 36.72 × 100/120 = 30.6 crore

N = 37.8 × 100/120 = 31.5 crore

O = 43.2 × 100/120 = 36 crore

P = 28.8 × 100/125 = 23.04 crore

The profits of O were reported 20% less than actual.

Actual profits of O = 7.2 × 100/80 = 9 crore

Hence, actual sales of O = 36 + 9 = 45 crore

The sales of M and N were reported 10% less than actual while those of P were reported 20% less than actual

So, actual sales of:

M = 43.2 × 100/90 = 48 crore

N = 50.4 × 100/90 = 56 crore

O = 36 × 100/80 = 45 crore

We can thus calculate their actual profits. We'll get the below result: (all values in crores)

I. Company O made the least profit.

False.

II. O is the only company whose reported sales was more than its actual sales.

True.

III. Actual profit of P = 21.96 crore

Reported profit of P = 7.2 crore

21.96 > 7.2 × 3

True.

Hence II and III are correct.

QUESTION: 143

Directions: The following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.

Quantity I: Train A crosses a bridge of length 480 meter and train B having length 360 meter running at speed of 72 Km/hr in opposite direction in 18 sec and 10 sec respectively. Then what is length (meter) of train A?

Quantity II: What is difference of CI and SI for ₹37500 at the rate of 8% for 2 years?

Solution: Quantity I

Let length of train A be Y m/sec

Length of platform = 480 meter

Speed of train A = (Y + 480)/18 .... (i)

Length of train B = 360 meter

Speed of train B = 72 × 5/18 = 20 m/sec

Relative speed of train A to B = ((Y + 480)/18 + 20)

((Y + 480)/18 + 20) = (Y + 360)/10

10Y + 8400 = 18Y + 6480

8Y = 1920

Y = 240 meter

Quantity II:

CI - SI = P × (R/100)2

CI - SI = 37500 × 64/10000 = ₹240

Hence, Quantity I = Quantity II

QUESTION: 144

Directions: The following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.

Quantity I: What is volume (cm3) of right circular cylinder having curved surface area 6160 cm2 and area of base 3850 cm2?

Quantity II: What is present population of a city if population increases at the rate of 15% and 10% for two consecutive years and becomes 136367?