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QUESTION: 1

For the following question, read the statement and select the most appropriate course of action.

Shortage of supply has led to sky-rocketing prices of onions in country Y.

A. An inter-ministerial meeting must be scheduled immediately to apprehend the rising cost of onions.

B. The Government must decrease the wholesale rate of onions such that retail prices fall.

C. The Government must initiate administrative action to check hoarding.

Solution:

The main statement discusses the shortage of onions causing a rise in prices.

A is a logical course of action, because there is a possibility of various ministries being involved in this issue and an inter-ministerial discussion on the issue could help tackle the situation. Eliminate option 3.

B is not a logical course of action, because it is not possible to reduce the wholesale rates without increasing the supply of onions. Eliminate options 2 and 5. C is a logical course of action, because this is a feasible way to increase the supply of onions so that prices reduce. Thus, course of action A must be followed by C. Eliminate option 1.

Hence, the correct answer is option 4.

QUESTION: 2

In each of the following questions, there is a statement followed by a set of arguments. You are expected to classify the argument as Strong or Weak.

Strong arguments are important and directly related to the question. Weak arguments may not be directly related or may be related to trivial aspects of the question and may be of lesser importance.

Choose the best option as per this classification.

The United Nations and other global institutions aren't equipped to tackle today's global challenges.

a. Yes. The UN is in need of reform to rediscover its goals and align with its activities.

b. No. The UN cannot perform effectively as long as its budget remains tightly constrained.

c. Yes. The UN needs to set up new organizations to handle the rising global challenges.

d. No. The UN, by undertaking a range of problems, must be expected to experience failures along with achieving successes.

Solution:

Statement a) says that UN needs to reform in order to meet the requirements of today's global challenges. Since it is directly related to the given statement, it makes for a strong argument.

Statement b) says that UN cannot function with limited funds; this is not related to UN's ability to tackle today's global challenges.

Statement c) says that UN should set up new bodies solely for the purpose of addressing the grievances which are new to the world. This argument targets the core of the statement i.e what should be done by UN to tackle today's global challenges and hence is a strong argument.

Statement d) says that the UN can be expected to suffer failures along with achieving successes as it undertakes a range of problems. Even though the argument is directly related to the question, it does not address the problem raised by the question. It asks us to sit back and wait for the failures to come. Hence, it is illogical and is a weak argument.

Hence, the correct answer is option 1.

QUESTION: 3

Group Question

Answer the following question based on the information given below.

In a classroom, there are two rows of five seats each and 10 students - A, B, C, D, E, F, G, H, I and J are to be seated in these seats. All the seats are facing the same direction. C and D sit at extreme ends of same row. F sits in front of C. A and I always sit together and A is to the left of I and D. G and H sit in different rows and E does not sit in front of D. J and B sit in the same row but none of them sit at the center or the extremes of the row and neither of them sits in front of A.

**Q.How many seating arrangements are possible in the class?**

Solution:

C and D sit at extreme ends of same row. F sits in front of C. That means C and D are in the second row. Therefore, A sits to the left of D means D sits at the rightmost end of the row. Also, A can be in the middle or second from the left and I being next to A must be second from right or in the middle. Thus, there is only one seat in row 2.

It is given that J and B sit in the same row but none of them sit at the center or the extremes of the row and neither of them sits in front of A. J and B occupy the seats that are second from the right and second from the left, not necessarily in this order. Also, A must be at the center and I must be second from right. As E is not in front of D, E must be in the center of row 1. G and H sit in the remaining two seats (i.e., second seat from left in row 2 and rightmost seat in row 1)

Thus, the possible four arrangements are:

Hence, option 5.

QUESTION: 4

In a classroom, there are two rows of five seats each and 10 students - A, B, C, D, E, F, G, H, I and J are to be seated in these seats. All the seats are facing the same direction. C and D sit at extreme ends of same row. F sits in front of C. A and I always sit together and A is to the left of I and D. G and H sit in different rows and E does not sit in front of D. J and B sit in the same row but none of them sit at the center or the extremes of the row and neither of them sits in front of A.

**Q.If D and E exchange their places and J is sitting in front of H, then who is sitting to the immediate left of B?**

Solution:

If J is sitting in front of H, the only possible arrangement is:

1st row: F J E B G

2nd row: C H A I D Now if D and E exchange their places new arrangement

: 1^{st} row: F J D B G

2^{nd} row: C H A I E Therefore, D sits to the immediate left of B.

Hence, option 1.

QUESTION: 5

Answer the following question based on the information given below.

In a strongly worded advisory, the Income Tax department has asked its officials to go beyond just raids and searches to target tax evaders. The Central Board of Direct Taxes (CBDT), in a recent missive to its field officials, has stressed the need to instill the fear of “incarceration and consequent loss of liberty and social opprobrium” among tax evaders by way of speedy prosecution and penalties.

**Q.Which of the following statements, if true would weaken the decision taken by the department?**

Solution:

According to the passage, the Income Tax department has directed its officials to impose stringent penalties on tax evaders instead of just carrying on with the raids and searches as they are not efficient enough to curb the evaders.

Only option 3 weakens the reasoning behind the decision as mentioned in the passage. While the Income Tax department plans to use prosecution and subsequent incarceration to scare tax evaders into paying, option 3 shows that tax evaders may be able to escape this punishment.

Options 2 and 4 support the decision as they talk about the effectiveness of the penalties. So, eliminate options 2 and 4.

Option 1 with “type of tax payer” is unrelated to the passage. So, eliminate option 1

Option 5 talks about tax system which is not relevant. So, eliminate option 5. Hence, the correct answer is option 3.

QUESTION: 6

In this following questions, some statements are given followed by four conclusions I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow from the given statements.

**Statements**

**1. Some rats are goats**

**2. Some goats are jelly**

**3. Some jelly are tubes**

**Conclusions**

**I. Some rats are tubes**

**II. Some jelly are rats**

**III. Some goats are not rats**

**IV. Some goats are not tubes**

Solution:

The given statements can be represented in different ways, as shown below:

In the first figure, no rat is a tube and no jelly is a rat.

Hence, conclusions I and II do not definitely follow.

In the figure above, all goats are rats. Thus, there is no goat that is not a rat. Hence, conclusion III does not definitely follow.

In the figure above, all goats are tubes. Thus, there is no goat that is not a tube. Hence, conclusion IV does not definitely follow. Thus, none of the conclusions definitely follows. Hence, option 5.

QUESTION: 7

In the series given below, which elements are respectively nineteenth to the right of the seventh element from the left and fourteenth to the left of the twelfth element from the right end?

Solution:

The nineteenth element to the right of the seventh element from the left is equivalent to the twenty-sixth element from the left.

Similarly, the fourteenth element to the left of the twelfth element from the right is equivalent to the twenty-sixth element from the right.

Now, there is a different term given in each option for the first value required as well as for the second value required.

Hence, just find one of them and all the incorrect options will get eliminated.

The twenty-sixth element from the left is ‘2’.

Hence, option 3.

QUESTION: 8

City Alpha is connected to city Beeta via bi-directional routes passing through cities A, B, C, D and E, as shown below.

**Q.The first number in each bracket shows the distance between the two cities (in kms) while the second number in each bracket shows the toll charges (in Rs.) on that route. The travelling cost is Rs. 10 per km. What is the minimum cost incurred (in Rs.) while travelling from Alpha to Beeta?**

Solution:

Total cost on any route = (Total distance x 10) + Total toll charges.

Since there are 6 routes connecting Alpha and Beeta, find the total cost for each: 1) Alpha-B-A-Beeta

Cost = 10(12 + 13 + 3) + (200 + 50 + 230) = 280 + 480 = Rs. 760 Since options 1 and 3 have a value greater than this, they can be eliminated. 2) Alpha-B-A-E-Beeta

Cost = 10(12 + 13 + 10 + 5) + (200 + 50 + 130 + 100) = 400 + 480 = Rs. 880 3) Alpha-B-E-A-Beeta

Cost = 10(12 + 20 + 10 + 3) + (200 + 60 + 130 + 230) = 450 + 620 = Rs. 1,070 4) Alpha-B-E-Beeta

Cost = 10(12 + 20 + 5) + (200 + 60 + 100) = 370 + 360 = Rs. 730

Among the options left, options 2 and 4 have a higher value than this. Hence, they can be eliminated.

Thus, the least cost is on route Alpha-B-E-Beeta and it is Rs. 730.

Hence, option 5.

Note: Routes Alpha-C-Beeta and Alpha-D-C-Beeta need not be checked as there is no option less than Rs. 730 found above. However, you can calculate the cost on Alpha-C-Beeta and Alpha-D-C-Beeta as Rs. 910 and Rs. 740 respectively (which is greater than Rs. 730).

Hence, option 5.

QUESTION: 9

Answer the question based on the passage given below.

I remember walking on the white slabs of cement in the breezeway between our kindergarten and elementary school when I was five, and some older kid telling me that my friend Tom’s parents had split up. After that - basically after learning o f its existence - 1 remember dreading divorce for my own family. My mom says I used to come up behind her and take her hand and put it in my dad’s.

**Q.What can be inferred from the passage above?**

Solution:

The passage speaks about divorce and the effect it could have on young children. The author recollects dreading the same fate for his own family. Hence, we can infer that children value the togetherness of their families.

Options 2 and 5 are beyond the scope of the passage and can be eliminated. There is no evidence in the passage that the author's parents had frequent fights and hence, option 3 can be eliminated.

No comparison between five year olds and children of other age groups has been provided and hence, option 4 can be eliminated.

Hence, the correct answer is option 1.

QUESTION: 10

Group Question

Answer the following question based on the information given below.

A number arrangement machine, when given an input line of numbers, rearranges them as per a particular rule in each step. The following is an illustration of input and rearrangement.

Input - 36 49 81 57 26

Step 1 - 3 5 7 2 4

Step 2 - 7 11 15 5 9

Step 3 - 13 21 29 9 17

Step 4 - 27 43 59 19 35

Step 5 - 23 41 53 17 31

Step 5 is the output for the given input.

Using the rule followed in the above steps, answer the questions below:

**Q.If the process followed to obtain step 3 from step 2 was also applied to step 5 above, what would be the third number of step 6?I**

Solution:

The logic in each step is:

Step 1 = difference of digits of each number in input e.g. 5 = 9 - 4

Step 2 = (step 1 x 2) + 1 e.g. 11 = (5 x 2) + 1

Step 3 = (step 2 x 2) - 1 e.g. 21 = (11 x 2) - 1

Step 4 = (step 3 x 2) + 1 e.g. 43 = (21 x 2) + 1

Step 5 = prime number just preceding the number in step 4 e.g. the prime number just preceding 43 is 41.

Now, the process to follow step 3 from step 2 is also applied to step 5

Step 6 = (step 5 x 2) - 1

Since only the third number of step 6 is required, consider only the third number of step 5 i.e. 53.

Required number = 2(53) - 1 = 105

Hence, option 2.

QUESTION: 11

A number arrangement machine, when given an input line of numbers, rearranges them as per a particular rule in each step. The following is an illustration of input and rearrangement.

Input - 36 49 81 57 26

Step 1 - 3 5 7 2 4

Step 2 - 7 11 15 5 9

Step 3 - 13 21 29 9 17

Step 4 - 27 43 59 19 35

Step 5 - 23 41 53 17 31

Step 5 is the output for the given input.

Using the rule followed in the above steps, answer the questions below:

**Q.What will be the string at step 3 for the input given below?
Input: 23 24 45 85 12 **

Solution:

Consider the pattern obtained in the solution to the first question.

Input: 23 24 45 85 12

Step 1 : 1 2 1 3 1

Step II : 3 5 3 7 3

Step III : 5 9 5 13 5

Hence, option 2.

QUESTION: 12

A number arrangement machine, when given an input line of numbers, rearranges them as per a particular rule in each step. The following is an illustration of input and rearrangement.

Input - 36 49 81 57 26

Step 1 - 3 5 7 2 4

Step 2 - 7 11 15 5 9

Step 3 - 13 21 29 9 17

Step 4 - 27 43 59 19 35

Step 5 - 23 41 53 17 31

Step 5 is the output for the given input.

Using the rule followed in the above steps, answer the questions below:

**Q.For the input in the previous question, what will the output be?**

Solution:

Consider the solution to the previous question.

Since Step 3 was found there, start from Step 3 itself.

Step 3 : 5 9 5 13 5

Step 4 : 11 19 11 27 11

Step 5 : 7 17 7 23 7

Hence, option 1

QUESTION: 13

Input - 36 49 81 57 26

Step 1 - 3 5 7 2 4

Step 2 - 7 11 15 5 9

Step 3 - 13 21 29 9 17

Step 4 - 27 43 59 19 35

Step 5 - 23 41 53 17 31

Step 5 is the output for the given input.

Using the rule followed in the above steps, answer the questions below:

**Q.If Step 1 in this machine is 5 6 1 9 2, which of these is the input to the machine?**

Solution:

Consider the solution to the first question.

The logic for step 1 is:

Step 1 = difference of digits of each number in input

Observe that the string given in step 2 can be obtained from each input string given in the options.

Apart from this, there can be infinite other input strings that can yield this difference.

Hence, the input string cannot be identified.

Hence, option 5.

QUESTION: 14

Group Question

Answer the following question based on the information given below.

Six girls A, B, C, D, E and F sit facing north, in two rows and in three columns.

1. F is not at the end of any row.

2. C sits to the immediate left of F.

3. E sits immediately behind C.

4. A sits on one of the ends of the rows.

**Q.How many seating arrangements are possible, if A and F are not to be seated in the same row?**

Solution:

From (1), (2) and (3), we get the arrangement as:

Since A and F are not to be seated in the same row and A sits at one of the ends of the rows; we get

Thus, only two seating arrangements are possible.

Hence, option 4.

QUESTION: 15

Six girls A, B, C, D, E and F sit facing north, in two rows and in three columns.

1. F is not at the end of any row.

2. C sits to the immediate left of F.

3. E sits immediately behind C.

4. A sits on one of the ends of the rows.

**Q.If A and E exchange positions and B sits diagonally to F then, which of the following are at the vertices of an imaginary rectangle or square? **

Solution:

From the given conditions the arrangement is:

Thus, A, C, D and F are at the vertices of a rectangle or a square.

Hence, option 4.

QUESTION: 16

Pointing to a photograph during a family get-together, Sarat says, “My father is the only brother of that person.” Sarat’s father has a sister named Padma. Which of the following statements is definitely true?

Solution:

If Sarat’s father had an only brother, then Sarat could have been pointing to that person.

Hence, Padma need not be the person in the photograph, and consequently, the person in the photograph could have been a male.

Hence, the statements in options 1 and 2 may or may not be true.

Hence, option 5.

QUESTION: 17

The statement given below is followed by two statements. Analyze all of them and determine the correct combination of a course of action.

Hockey has been deemed a dying sport in India because of lackluster performances and poor commercial coverage.

A. The government should provide more funds for training and development of hockey players.

B. The corporate world should show interest in investing in the commercial aspect of hockey.

Solution:

Both of these statements are very relevant as solutions to the given situation. The only thing that we have to decide is the order in which these steps should be taken to ensure maximum benefit.

Statement A has to be implemented by the government whose primary objective is welfare whereas statement B has to be implemented by corporates whose primary motive is profit. So, for the corporates to invest money in hockey, there has to be some hope of getting returns on their investment. Statement A if implemented before statement B would provide this hope. And so, the first move has to be made by the government.

Hence, the correct answer is option 3.

QUESTION: 18

Answer the following question based on the information given below.

Sports writer: The big exception to India’s dismal sporting record is cricket, in which India dominates. But some say this is part of the problem: the country is so cricket-obsessed that, in the mind of the public as well as sponsors, little space is left for others.

**Q.Which of the following is clearly the sports writer’s conclusion?**

Solution:

The author mentions how our obsession with cricket leaves little attention to any other sport and is therefore one of the reasons for India’s dismal sporting record (option 3).

The first two options only partly quote from the passage (only talk about cricket and not its effect on other sports) and are therefore not the conclusion.

Option 4 is too far-fetched.

Option 5 does not represent what the passage is trying to say.

Hence, the correct answer is option 3.

QUESTION: 19

In a certain code, if ORANGE is coded as HVATDC and MELONS is coded as GCSHTJ, how is MANGO coded in that language?

Solution:

Consider the alphabetical position of each letter of the given words and their respective codes.

Exam Reports

For ORANGE: 0(15) - 7 = H(8), R(18) + 4 = V(22), A(l) - 0 = A(l), N(14) + 6 = T(20), G(7) - 3 = D(4) andE(5)- 2 = C(3)

Similarly, for MELONS:

M(13) - 6 = G(7), E(5) - 2 = C(3), L(12) + 7 = S(19), 0(15) - 7 = H(8), N(14) + 6

= T(20) and S(19) - 9 = J(10) Observe that subtraction is being done on any letter present at an odd position in the alphabet while addition is being done on a letter present at an even position in the alphabet.

Now, based on the values found so far, the pattern in subtraction is:

A - 0, C - ?, E - 2, G - 3 , 1 - ?, K - ?, M - 6, O - 7, Q - ?, S - 10, and so on.

Thus, letters at odd alphabets are coded by subtracting 0, 1,2, and so on from the first, second, third alphabet and so on.

Thus, in MANGO, M is coded as G, A is coded as A, G is coded as D and O is coded as H.

Thus, MANGO is coded as GA_DH.

The only option that fits this pattern is option 2 i.e. GATDH.

Hence, option 2.

QUESTION: 20

Three statements have been given, followed by two conclusions. Identify the conclusion(s) that can be concluded from at least two statements.

**Statements:**

**1. Some students know Maths.**

**2. All who know Maths know Algebra.**

**3. Some students know Algebra**

**Conclusions:**

**I. Some students who know Maths know Algebra.
II. All who know Maths are students.**

Solution:

The given statements can be represented in different ways as shown below:

Anyone who knows Maths has to know Algebra. Hence, those students who know Maths also know Algebra. Hence, conclusion I definitely follows.

All those who know Maths may or may not be students. Hence, conclusion II does not definitely follow.

Hence, option 1.

QUESTION: 21

Group Question

Answer the following question based on the information given below.

A new office of The Bank of USB is being opened in Ambergaon. There are requirements for the Managing Director, COO, CFO, Treasurer and a General Manager. The requirements are as follows:

i. For being a General Manager one must have an MBA degree in Marketing, also he/she must have a minimum experience of 8 years, must have at least two Letters of recommendations along with a minimum of 3 certifications.

ii. The COO may have a minimum experience two years lesser than the minimum experience of the Managing Director but he/she must have an MBA degree in Finance and a minimum of five Letters of Recommendations. Certifications are not a necessity.

iii. The CFO must be CFA with at least two years of experience. He/she must have at least three certifications and must have at least three letters of Recommendations.

iv. The Treasurer must be a graduate in any field with at least 10 years of experience. He/she must either have more than two certifications and more than two Letters of Recommendations or both.

v. The Managing Director must be an MBA in operations with at least 15 years of experience. He must have at least five certifications and the minimum number of Letter of Recommendations he/she must have is the sum of the minimum number of Letter of Recommendations required by rest of the four positions.

Note: Being a CFA doesn’t imply that you are a graduate too but being an MBA implies that you are a graduate too.

**Q.Ravi has done an MBA in operations and has 21 years of experience. He has 12 certifications and 10 Letters of Recommendations. Which of the following post is he suitable for?**

Solution:

According to the data given, we get the following

According to the table, Ravi is suitable for the post of a treasurer but it is not present in the options. Hence, option 5.

QUESTION: 22

A new office of The Bank of USB is being opened in Ambergaon. There are requirements for the Managing Director, COO, CFO, Treasurer and a General Manager. The requirements are as follows:

i. For being a General Manager one must have an MBA degree in Marketing, also he/she must have a minimum experience of 8 years, must have at least two Letters of recommendations along with a minimum of 3 certifications.

ii. The COO may have a minimum experience two years lesser than the minimum experience of the Managing Director but he/she must have an MBA degree in Finance and a minimum of five Letters of Recommendations. Certifications are not a necessity.

iii. The CFO must be CFA with at least two years of experience. He/she must have at least three certifications and must have at least three letters of Recommendations.

iv. The Treasurer must be a graduate in any field with at least 10 years of experience. He/she must either have more than two certifications and more than two Letters of Recommendations or both.

v. The Managing Director must be an MBA in operations with at least 15 years of experience. He must have at least five certifications and the minimum number of Letter of Recommendations he/she must have is the sum of the minimum number of Letter of Recommendations required by rest of the four positions.

Note: Being a CFA doesn’t imply that you are a graduate too but being an MBA implies that you are a graduate too.

**Q.Kiran has done an MBA in marketing and has ten years of experience. She also has four certifications along with five letters of recommendations. For how many posts is she definitely suitable?**

Solution:

From the table given in the solution to the first question of the set, we can see that Kiran fulfills the requirement for Treasurer and General Manager.

Hence, option 3.

QUESTION: 23

A new office of The Bank of USB is being opened in Ambergaon. There are requirements for the Managing Director, COO, CFO, Treasurer and a General Manager. The requirements are as follows:

i. For being a General Manager one must have an MBA degree in Marketing, also he/she must have a minimum experience of 8 years, must have at least two Letters of recommendations along with a minimum of 3 certifications.

ii. The COO may have a minimum experience two years lesser than the minimum experience of the Managing Director but he/she must have an MBA degree in Finance and a minimum of five Letters of Recommendations. Certifications are not a necessity.

iii. The CFO must be CFA with at least two years of experience. He/she must have at least three certifications and must have at least three letters of Recommendations.

iv. The Treasurer must be a graduate in any field with at least 10 years of experience. He/she must either have more than two certifications and more than two Letters of Recommendations or both.

v. The Managing Director must be an MBA in operations with at least 15 years of experience. He must have at least five certifications and the minimum number of Letter of Recommendations he/she must have is the sum of the minimum number of Letter of Recommendations required by rest of the four positions.

Note: Being a CFA doesn’t imply that you are a graduate too but being an MBA implies that you are a graduate too.

**Q.Indira has a CFA, four years of experience, six certifications and seven Letters of Recommendations. Which post is she most suitable for?**

Solution:

From the table given in the solution to the first question of the set, we see that Indira is most suitable for the post of CFO.

Hence, option 2.

QUESTION: 24

**Q.Mukesh is a B.Com graduate with CFA. He has 16 Letter of Recommendations and 14 certifications. He also has 20 years of experience. For how many posts he may be a prospective candidate?**

Solution:

From the table given in the solution to the first question of the set, Mukesh is a prospective candidate for the posts of CFO and Treasurer.

Hence, option 2.

QUESTION: 25

Group Question

Answer the following question based on the information given below.

Formal religious practice centered on the pharaoh, the king of Egypt. Although he was a human, the pharaoh was believed to possess a divine power by virtue of his kingship. He acted as the intermediary between his people and the gods, and was obligated to sustain the gods through rituals and offerings so that they could maintain order in the universe. Therefore, the state dedicated enormous resources to the performance of these rituals and to the construction of the temples where they were carried out. Individuals could also interact with the gods for their own purposes, appealing for their help through prayer or compelling them to act through magic. These popular religious practices were distinct from, but closely linked with, the formal rituals and institutions. The popular religious tradition grew more prominent in the course of Egyptian history as the status of the pharaoh declined.

**Q.Which of the following statements, if true, would strengthen the argument that the pharaoh was the liaison between the people and the gods?**

Solution:

If the lands “prospered” when the Pharaoh conducted the rituals, it means that they (the rituals) were working, thus strengthening his position as the liaison. Options 1, 2,4 and 5 weaken the pharaoh’s power as liaison, and thus, weaken the argument. Therefore, they are incorrect.

Hence, the correct answer is option 3.

QUESTION: 26

Formal religious practice centered on the pharaoh, the king of Egypt. Although he was a human, the pharaoh was believed to possess a divine power by virtue of his kingship. He acted as the intermediary between his people and the gods, and was obligated to sustain the gods through rituals and offerings so that they could maintain order in the universe. Therefore, the state dedicated enormous resources to the performance of these rituals and to the construction of the temples where they were carried out. Individuals could also interact with the gods for their own purposes, appealing for their help through prayer or compelling them to act through magic. These popular religious practices were distinct from, but closely linked with, the formal rituals and institutions. The popular religious tradition grew more prominent in the course of Egyptian history as the status of the pharaoh declined.

**Q.Which of the following statements can be logically concluded from the passage?individual religious practices.**

Solution:

The passage states, “The popular religious tradition grew more prominent in the course of Egyptian history as the status of the pharaoh declined.” The converse however, can’t be proven as true, and hence option 4 can be eliminated.

Option 1 can’t be proven, and hence can be eliminated.

Option 2 is incorrect as the passage actually states that it was the other way round.

Option 3 is incorrect as it is not proven that order in the universe was maintained, just that this was believed to be true.

Hence, the correct answer is option 5.

QUESTION: 27

Six athletes - A, B, C, D, E and F - participated in a 100 m race. A finished the2 race before B but after two other athletes. F was neither the first nor the second athlete to finish the race. D finished the race after E but before B. If C finished the race second, which of the following is a valid order in which the athletes finished the race?

Solution:

A finished the race after two other athletes. Hence, A finished third.

It is known that C finished second.

So, the order so far i s : __C A _______ Hence, the order in option 1 is not possible.

Hence, options 1 and 5 can be eliminated.

Since D finished the race after E but before B, their relative order is EDB.

If all three finished after A, F would have finished the race first. However, this contradicts the given information. Hence, E finished before C and A, while both D and B finished after A.

Hence, the combinations given in options 2 and 3 are both valid, as no condition is violated.

Hence, option 4.

QUESTION: 28

A statement is followed by two assumptions. Consider the statement and the following assumptions and decide which of the assumptions is / are implicit in the statement.

Mark:

(1) If only A is implicit.

(2) If only B is implicit.

(3) If either A or B is implicit.

(4) If neither A or B is implicit.

(5) If both A and B are implicit.

Recent figures indicate that eye donation in state X this year was more than double the target set by the National Programme for Control of Blindness.

A. The National Programme for Control of Blindness was unduly pessimistic about eye donation.

B. As compared to other states, the importance of eye donation was propagated heavily in state X

Solution:

The main statement talks about how eye donation in State X far exceeded the target that had been set.

Assumption A is not implicit. Just because the number of eye donations exceeded the target, we cannot assume that the target set was pessimistic. Eliminate options 1 and 5.

Assumption B is also not implicit, because the main statement gives us no data regarding eye donation figures in states other than state X. Therefore, we cannot assume on the basis of the figures from state X that awareness on this issue in other states is not as good as it is in state X. It is quite possible that there may be other states that fared as well or even better than state X. Eliminate options 2 and 3.

Hence, the correct answer is option 4.

QUESTION: 29

Given below are two statements. Analyze them and mark the option that correctly states their relationship.

A. I wrote pages after pages on the experiences of my travels.

B. The ink-pot fell from the table and the ink in the pen ran dry.

Solution:

This is an abstract set of statements that connect logically only on the basis of certain assumptions. On the face of it, statem ent A looks like the cause to the fact mentioned in statement B. However, we have to assume that the author was using to write the very pen that ran out of ink and he did som ething for the ink-pot to fall. These two statements cannot be assumed to be related to each other as it would render the relationship ambiguous.

Hence, the correct answer is option 5.

QUESTION: 30

Group Question

Answer the following question based on the information given below.

In the following questions, a word is represented by only one set of numbers as given in the options. The set of numbers given in the options represents letters in the same sequence using the two given matrices. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II from 5 to 9. A letter from these matrices can be represented first by its row and next by column number.

Example: The code for B can be 10 or 21 or 41.

For each word, choose an option that correctly represents the word.

**Q.NORMAL**

Solution:

From Matrix I, N can be coded as 00, 24 and 32.

From Matrix II, O can be coded as 76, 57, 68 and 98.

As option 1 has 59 in the 2nd place, it can be eliminated.

From Matrix II, R can be coded as 59, 75, 77, 96 and 99.

As option 4 has 76 in the 3rd place, it can be eliminated.

From Matrix II, M can be coded as 69, 87 and 95.

As option 2 has 55 in the 4th place, it can be eliminated.

From Matrix II, A can be coded as 58, 66, 89 and 97.

As option 5 has 44 in the 5th place, it can be eliminated.

From Matrix I, L can be coded as 04, 11, 33 and 42.

Option 3 has all the correct codes.

Hence, option 3.

QUESTION: 31

In the follow ing questions, a word is represented by only one set of numbers as given in the options. The set of numbers given in the options represents letters in the same sequence using the two given matrices. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II from 5 to 9. A letter from these matrices can be represented first by its row and next by column number.

Example: The code for B can be 10 or 21 or 41.

For each word, choose an option that correctly represents the word.

**Q.MIXER**

Solution:

From Matrix II, M can be coded as 69, 87 and 95.

From Matrix II, I can be coded as 59, 86 and 79.

As option 2 has 85 in the 2nd place, it can be eliminated.

From Matrix II, X can be coded as 55, 78 and 85.

As option 1 and 4 has 54 and 84 in the 3rd place, they can be eliminated.

From Matrix I, E can be coded as 03, 14, 22, 30 and 44.

As option 3 has 21 in the 4^{th} place, it can be eliminated.

None of the above option represents the correct code.

Hence, option 5.

QUESTION: 32

In the follow ing questions, a word is represented by only one set of numbers as given in the options. The set of numbers given in the options represents letters in the same sequence using the two given matrices. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II from 5 to 9. A letter from these matrices can be represented first by its row and next by column number.

Example: The code for B can be 10 or 21 or 41.

For each word, choose an option that correctly represents the word.

**Q.LAWYER**

Solution:

From Matrix I, L can be coded as 04, 11, 33, and 42.

From Matrix II, A can be coded as 58, 66, 89 and 97.

As option 2 has 57 in the 2nd place, it can be eliminated. From Matrix I, W can be coded as 01, 13, 20 and 34.

As option 1 has 12 in the 3rd place, it can be eliminated. From Matrix I, Y can be coded as 02, 23 and 43.

As option 5 has 22 in the 4th place, it can be eliminated.

From Matrix I, E can be coded as 03, 14, 22, 30 and 44.

As option 3 has 12 in the 5th place, it can be eliminated.

It can be checked that option 4 has all the correct codes.

Hence, option 4.

QUESTION: 33

Answer the question based on the passage given below.

French businessman Bernard Renault's efforts to become a Belgian citizen hit a snag after the country's immigration office said he hadn't lived in the country long enough.

**Q.What should Bernard Renault do?**

Solution:

If Renault is serious about Belgian citizenship the best option would be to do whatever it takes to become a citizen which is stated in option 3.

Option 1 is defeatist.

Option 2 is unnecessarily provocative.

Option 4 is ethically wrong because it involves bribing.

Option 5 is illogical - he may not desire to be a citizen of Denmark. Also, citizenship rules in Denmark have not been discussed in the passage, so we cannot assume that they are less rigid.

Hence, the correct answer is option 3.

QUESTION: 34

Group Question

Answer the following question based on the information given below.

There are 170 students in a college and each of them uses at least one of bike, car and taxi to reach college. The ratio of students using all three vehicles to students using atleast two vehicles is 2 : 9. The ratio of students using only one vehicle to students using atleast two vehicles is 8 : 9. The number of students using a car only exceeds the number of students using a bike only by 14. The number of students using a taxi only exceeds the number of students using a bike only by 12. The number of students using taxi, bike and car is 90, 93 and 97 respectively.

**Q.The number of students using all three vehicles is:**

Solution:

The given data can be represented as shown below:

Let the number of students who uses exactly one vehicle, exactly two vehicles and all three vehicles be α, β and γ respectively.

Thus, a + b + c = a, x + y + z = β, k = γ Since each student uses atleast one vehicle to reach college,

α +β + γ = 170 . . . (i)

Now, using the other conditions given in the question,

γ : (β +γ) = 2 : 9

γ : β = 2 : 7

α : (β + γ ) = 8 : 9

γ : α = 2 : 8

a : β: γ = 8 : 7 : 2

Using this ratio in (i),

α = 80, β = 70,γ = 20

a +b +c = 80, x + y + z = 70 and k = 20

Also, c — b — 14 and a - b = 12 Solving these equation, a = 30, b = 18, c = 32

Thus, number o f students u sin g all three vehicles = 20

Hence option 3.

QUESTION: 35

There are 170 students in a college and each of them uses at least one of bike, car and taxi to reach college. The ratio of students using all three vehicles to students using atleast two vehicles is 2 : 9. The ratio of students using only one vehicle to students using atleast two vehicles is 8 : 9. The number of students using a car only exceeds the number of students using a bike only by 14. The number of students using a taxi only exceeds the number of students using a bike only by 12. The number of students using taxi, bike and car is 90, 93 and 97 respectively.

**Q.The number of students using not more than one vehicle is:**

Solution:

Consider the solution to the previous question.

Since each student u se s at least one vehicle, number o f students u sin g not more than one vehicle = number of students using exactly one vehicle = 80 Hence, option 2.

QUESTION: 36

There are 170 students in a college and each of them uses at least one of bike, car and taxi to reach college. The ratio of students using all three vehicles to students using atleast two vehicles is 2 : 9. The ratio of students using only one vehicle to students using atleast two vehicles is 8 : 9. The number of students using a car only exceeds the number of students using a bike only by 14. The number of students using a taxi only exceeds the number of students using a bike only by 12. The number of students using taxi, bike and car is 90, 93 and 97 respectively.

**Q.The number of students using only car and bike is:**

Solution:

Consider the solution to the first question.

a + b +c - 80, x + y + z - 70 an d k -20

a = 30, b = 18, c = 32

Now, number of students using only car and bike =y

Now, a + x + z + k = 90

(x + z) + 30 + 20 -90

x + z = 40

y = 70 - 40 = 30

Hence, option 1.

QUESTION: 37

Group Question

Answer the following question based on the information given below.

Four friends Ajay, Bob, Chetan and Dan live in house numbers 1, 2, 3 and 4, though not necessarily in the same order. They own the following brand of cars : Skoda, Sumo, Santro and Swift among them. No two persons own the same brand of car. The following information is known about them.

A. Neither Ajay nor Dan live in an even numbered house.

B. The person in house 2 drives a Skoda.

C. The owner of the Swift is in house number 4.

D. Ajay does not own a Sumo.

E. Bob drives the Swift.

**Q.In what house number does Ajay live?**

Solution:

There are 3 parameters here : Person, Brand of Car and House number.

Now, Bob drives the Swift and the owner of the Swift stays in house number 4. Therefore, Bob lives in house number 4.

Bob - Swift - House 4.

Neither Ajay nor Dan stay in even numbered houses.

Therefore, these two stay in house numbers 1 and 3 (in no specific order).

Hence, Chetan has to stay in house no 2.

Since the person in house number 2 drives a Skoda, Chetan drives a Skoda.

Chetan - Skoda - House 2.

Now, Ajay can drive a Sumo or a Santro.

However, it is given that Ajay does not drive a Sumo.

Therefore, Ajay drives a Santro and Dan drives a Sumo.

However, it cannot be determined whether Ajay stays in house number 1 or 3. He can stay in any one of the two.

Hence, option 3.

QUESTION: 38

Four friends Ajay, Bob, Chetan and Dan live in house numbers 1, 2, 3 and 4, though not necessarily in the same order. They own the following brand of cars : Skoda, Sumo, Santro and Swift among them. No two persons own the same brand of car. The following information is known about them.

A. Neither Ajay nor Dan live in an even numbered house.

B. The person in house 2 drives a Skoda.

C. The owner of the Swift is in house number 4.

D. Ajay does not own a Sumo.

E. Bob drives the Swift.

**Q.Which car does Dan drive?**

Solution:

From the solution to the first question of this set, it is obvious that Dan drives the Sumo.

Hence, option 2.

QUESTION: 39

Four friends Ajay, Bob, Chetan and Dan live in house numbers 1, 2, 3 and 4, though not necessarily in the same order. They own the following brand of cars : Skoda, Sumo, Santro and Swift among them. No two persons own the same brand of car. The following information is known about them.

A. Neither Ajay nor Dan live in an even numbered house.

B. The person in house 2 drives a Skoda.

C. The owner of the Swift is in house number 4.

D. Ajay does not own a Sumo.

E. Bob drives the Swift.

**Q.If Ajay lives in house 1, then in which house does Dan live?**

Solution:

From the solution to the first question of this set, Ajay and Dan stay in house numbers 1 and 3 (in no specific order).

Therefore, if Ajay stays in house number 1, Dan has to stay in house number 3.

Hence, option 2.

QUESTION: 40

There are three assumptions drawn from the main statement. Choose the option that states the ones that are implicit.

USB flash drives were invented by Amir Ban, Dov Moran and Oron Ogdan, all from the Israeli company M-Systems. Modem flash drives have USB 2.0 connectivity. Fake USB flash drives are sometimes sold, claiming to have higher capacities than they actually have.

Assumptions:

A. Amir Ban, Dov Moran and Oron Ogdan named their product the "DiskOnKey".

B. The seed for the growth of modem flash drives lay in the efforts of the employees of M- Systems.

C. Fake USB flash drives do well in the market.

Solution:

There is no mention in the passage about the name of the product. Therefore, statement A does not hold. Eliminate options 1, 2 and 4.

Statement B is implicit as it talks about the process of the development of USB flash drives, which is also what the passage is about. Eliminate option 5. Statement C is not implied by the passage.

Hence, the correct answer is option 3.

### Logical Connectives (Part 1) - Logical Reasoning

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### Logical reasoning

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### Mathematical Logical Reasoning

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### Logical Connectives (Part 2) - Logical Reasoning

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