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CAT DI And LR Mock Test - 3 - CAT MCQ


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25 Questions MCQ Test - CAT DI And LR Mock Test - 3

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CAT DI And LR Mock Test - 3 - Question 1

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Sudheer is interested in electronic gadgets and he made a new metallic keyboard for his computer. However, while marking the keys with letters, he made a mistake in marking the vowels such that none of the vowels were marked correctly with their corresponding keys. All other keys, except the vowels were marked correctly.

Further it is known that,

i. the key for A is neither marked E nor marked O.

ii. the key for I is either marked A or marked U.

iii. the key for E is not marked O.

Q. Sudheer typed PUT on his keyboard and the output he got is PAT, then what will be the output if he types BAT?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 1

Going by conditions i, ii, and iii, A, I, E are not marked as O and O cannot be marked as O as none of the vowels are marked correctly. Thus, the key for U should have been marked as O.

As U have been marked as O and form condition i, ii, A and I are not marked as E, O should have been marked as E.

Thus, the possible marking of keys form the given conditions is as follows.

Sudheer got the output as PAT, when he typed PUT => A is marked as U. in such a case, the key 2 makings on the keys will be as follows.

Thus, when the types BAT, the output will be BIT.

CAT DI And LR Mock Test - 3 - Question 2

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Sudheer is interested in electronic gadgets and he made a new metallic keyboard for his computer. However, while marking the keys with letters, he made a mistake in marking the vowels such that none of the vowels were marked correctly with their corresponding keys. All other keys, except the vowels were marked correctly.

Further it is known that,

i. the key for A is neither marked E nor marked O.

ii. the key for I is either marked A or marked U.

iii. the key for E is not marked O.

Q. Which of the following words cannot be the output, if Sudheer typed DUAL?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 2

Going by conditions i, ii, and iii, A, I, E are not marked as O and O cannot be marked as O as none of the vowels are marked correctly. Thus, the key for U should have been marked as O.

As U have been marked as O and form condition i, ii, A and I are not marked as E, O should have been marked as E.

Thus, the possible marking of keys form the given conditions is as follows.

If I is marked as U, then E will be marked as A and typing DUAL in this case gives the output DIEL. If E is marked as U, then I will be marked as A and DEIL can be the output in this case. If A is marked as U then I will be marked as A and DAIL can be the output in this case. If A is marked as U. E should be marked as I and I should be marked as A. thus DAEL cannot be the output when DUAL is typed.

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CAT DI And LR Mock Test - 3 - Question 3

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Sudheer is interested in electronic gadgets and he made a new metallic keyboard for his computer. However, while marking the keys with letters, he made a mistake in marking the vowels such that none of the vowels were marked correctly with their corresponding keys. All other keys, except the vowels were marked correctly.

Further it is known that,

i. the key for A is neither marked E nor marked O.

ii. the key for I is either marked A or marked U.

iii. the key for E is not marked O.

Q. Which of the following cannot be the marking on any of the keys that Sudheer has typed, if the output is MORE?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 3

Going by conditions i, ii, and iii, A, I, E are not marked as O and O cannot be marked as O as none of the vowels are marked correctly. Thus, the key for U should have been marked as O.

As U have been marked as O and form condition i, ii, A and I are not marked as E, O should have been marked as E.

Thus, the possible marking of keys form the given conditions is as follows.

If the output is MORE, then sudheer would have definitely typed in the keys, M, E, R as O is marked as E. The marking on the other key which he typed can be A, I or U as the key corresponding to E is either marked A or I or U. Thus, among the given options O, cannot be the marking on any of the keys which Sudheer has typed.

CAT DI And LR Mock Test - 3 - Question 4

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Sudheer is interested in electronic gadgets and he made a new metallic keyboard for his computer. However, while marking the keys with letters, he made a mistake in marking the vowels such that none of the vowels were marked correctly with their corresponding keys. All other keys, except the vowels were marked correctly.

Further it is known that,

i. the key for A is neither marked E nor marked O.

ii. the key for I is either marked A or marked U.

iii. the key for E is not marked O.

Q. Which of the following statements is definitely true?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 4

Going by conditions i, ii, and iii, A, I, E are not marked as O and O cannot be marked as O as none of the vowels are marked correctly. Thus, the key for U should have been marked as O.

As U have been marked as O and form condition i, ii, A and I are not marked as E, O should have been marked as E.

Thus, the possible marking of keys form the given conditions is as follows.

If E is marked as I, then A will be marked as U. Thus, on typing UNIT the output can be ANET. Hence option A is incorrect. We know that ‘O’ is marked as E and only A or E can be marked as I. Thus, typing CRICKET can give output as CRACHOT or CRECKOT. Hence option B is incorrect When ORANGE is typed, the output can be URENGO or URINGO depending on the key for which A is used as marking. Hence option C is incorrect U is marked as O and not E and Thus typing DUNE, in no case, will give the output as DANU. Hence option D is definitely true.

CAT DI And LR Mock Test - 3 - Question 5

DIRECTIONS for questions: Answer these questions on the basis of the information given below.

Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

i. The person who picks the last coin is the winner of that game and hence gets two points.

ii. The person whose turn is next to the winner of that game gets one point.

iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.

Q. For which of the following primary counts will A win?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 5
Each person wants to win, and if it is not possible, he wants the person next to him to lose i.e., the person before him should win.

If there are 3 coins at the beginning, even if A picks one or two coins, B will definitely win.

If there are 4 coins, A picks only one coin such that B does not win. And hence A gets one point and C gets two points.

If there are 5 coins, A picks one coin and hence B picks one coin such that he gets one point as in previous case (where A gets one point). Now A gets two points.

If there are 6 coins, A picks two coins and wins as in the previous case. If there are 7 coins, even if A picks one or two coins, B will definitely win.

If there are 8 coins, A picks up one coin so that B cannot win and C wins. Hence A gets one point. If there are 9 coins, A picks up one coin and B also picks up one coin (for C must not be the winner). So, C is left with 7 coins in which case A wins.

If these are 10 coins, A picks up two coins and hence he wins (as in the previous case). We can generalize this as follows (for n = 1,2, - - -)

Only 34 is of the form 4n + 1 or 4n + 2.

CAT DI And LR Mock Test - 3 - Question 6

DIRECTIONS for questions: Answer these questions on the basis of the information given below.

Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

i. The person who picks the last coin is the winner of that game and hence gets two points.

ii. The person whose turn is next to the winner of that game gets one point.

iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.

Q. For which of the following primary counts will B get no points?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 6
Each person wants to win, and if it is not possible, he wants the person next to him to lose i.e., the person before him should win.

If there are 3 coins at the beginning, even if A picks one or two coins, B will definitely win.

If there are 4 coins, A picks only one coin such that B does not win. And hence A gets one point and C gets two points.

If there are 5 coins, A picks one coin and hence B picks one coin such that he gets one point as in previous case (where A gets one point). Now A gets two points.

If there are 6 coins, A picks two coins and wins as in the previous case. If there are 7 coins, even if A picks one or two coins, B will definitely win.

If there are 8 coins, A picks up one coin so that B cannot win and C wins. Hence A gets one point. If there are 9 coins, A picks up one coin and B also picks up one coin (for C must not be the winner). So, C is left with 7 coins in which case A wins.

If these are 10 coins, A picks up two coins and hence he wins (as in the previous case). We can generalize this as follows (for n = 1,2, - - -)

B gets no points if C wins i.e., if the coins are 4n.

CAT DI And LR Mock Test - 3 - Question 7

DIRECTIONS for questions: Answer these questions on the basis of the information given below.

Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

i. The person who picks the last coin is the winner of that game and hence gets two points.

ii. The person whose turn is next to the winner of that game gets one point.

iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.

B and C are friends and hence they want one of them to be the winner (without considering their individual points).

Q. For which of the following primary counts will A win?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 7
Each person wants to win, and if it is not possible, he wants the person next to him to lose i.e., the person before him should win.

If there are 3 coins at the beginning, even if A picks one or two coins, B will definitely win.

If there are 4 coins, A picks only one coin such that B does not win. And hence A gets one point and C gets two points.

If there are 5 coins, A picks one coin and hence B picks one coin such that he gets one point as in previous case (where A gets one point). Now A gets two points.

If there are 6 coins, A picks two coins and wins as in the previous case. If there are 7 coins, even if A picks one or two coins, B will definitely win.

If there are 8 coins, A picks up one coin so that B cannot win and C wins. Hence A gets one point. If there are 9 coins, A picks up one coin and B also picks up one coin (for C must not be the winner). So, C is left with 7 coins in which case A wins.

If these are 10 coins, A picks up two coins and hence he wins (as in the previous case). We can generalize this as follows (for n = 1,2, - - -)

Now B and C can pick 1, 2, 3 or 4 coins left at the end for one of them to win. If A leaves 5 coins, B and C will pick one coin each and A is left with 3 coins in which case A cannot win. And this continues for other values of n. Hence A can never win. Choice (d)

CAT DI And LR Mock Test - 3 - Question 8

DIRECTIONS for questions: Answer these questions on the basis of the information given below.

Three persons - A, B and C - play a series of games with coins. In each game, they place some coins on a table and pick thecoins in turns, starting with A, then B, then C and then A and so on. Each person, in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

i. The person who picks the last coin is the winner of that game and hence gets two points.

ii. The person whose turn is next to the winner of that game gets one point.

iii. The person whose turn is before the winner of that game gets no points. Also, each person plays intelligently and tries to get the maximum possible points.

B and C are friends and hence they want one of them to be the winner (without considering their individual points).

B and C are friends and hence they want one of them to be the winner (without considering their individual points).

Q. If they play three games withprimary counts as 4, 5 and 6, what is the number of points scored by A by the end of these three games?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 8
Each person wants to win, and if it is not possible, he wants the person next to him to lose i.e., the person before him should win.

If there are 3 coins at the beginning, even if A picks one or two coins, B will definitely win.

If there are 4 coins, A picks only one coin such that B does not win. And hence A gets one point and C gets two points.

If there are 5 coins, A picks one coin and hence B picks one coin such that he gets one point as in previous case (where A gets one point). Now A gets two points.

If there are 6 coins, A picks two coins and wins as in the previous case. If there are 7 coins, even if A picks one or two coins, B will definitely win.

If there are 8 coins, A picks up one coin so that B cannot win and C wins. Hence A gets one point. If there are 9 coins, A picks up one coin and B also picks up one coin (for C must not be the winner). So, C is left with 7 coins in which case A wins.

If these are 10 coins, A picks up two coins and hence he wins (as in the previous case). We can generalize this as follows (for n = 1,2, - - -)

As A cannot win, he has to make sure that C wins and thereby he gets a point. C can win all the three games and hence A can get 3 points.

CAT DI And LR Mock Test - 3 - Question 9

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Akbar wrote a software which modifies a string in a specific manner. The software accepts input only in the form of a text string and the modification of the text string takes place in four sequential steps, i.e., step 1, step 2 and step 3 followed by the final output. The following example gives the output of the software after each step for a particular input string:

Q. If the final output of the software is “WISIQSQUZ”, which of the following could be the input string?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 9
By observing each step we can infer the logic involved in each step.

Step 1: All the vowels are replaced with the next vowel in the alphabet.

Step 2: All the consonants are replaced with the second next letter (not second next consonant) in the alphabet.

Step 3: All the vowels in the string are removed along with the spaces.

Step 4: All the letters in the odd places are replaced by the next letter and the letters in the even places are replaced by the previous letter in the alphabet.

If the final output is “WISIQSQUZ", the output at the end of third step has to be ’VJRJPTPVY”. Ignoring the vowels in between, the consonants at the end of the first step has to be “THPHNRNTW”. These consonants must be in the input string in the same order. Observing the options, we find that only option D has the consonants in the same order.

CAT DI And LR Mock Test - 3 - Question 10

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Akbar wrote a software which modifies a string in a specific manner. The software accepts input only in the form of a text string and the modification of the text string takes place in four sequential steps, i.e., step 1, step 2 and step 3 followed by the final output. The following example gives the output of the software after each step for a particular input string:

Q. Which of the following can be the final output of the software?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 10
By observing each step we can infer the logic involved in each step.

Step 1: All the vowels are replaced with the next vowel in the alphabet.

Step 2: All the consonants are replaced with the second next letter (not second next consonant) in the alphabet.

Step 3: All the vowels in the string are removed along with the spaces.

Step 4: All the letters in the odd places are replaced by the next letter and the letters in the even places are replaced by the previous letter in the alphabet.

The output of the third step of the software should not have any vowels in it. If SIZLOCK is the final output, the third step would be RJYMNDJ. This can be the output of the third step. If FRIENDS is the final output, the third step would be ESHFMER. Since this has vowels in it, this cannot be a final output. If COPTER is the final output, the third step would be BPOUDS. Since this has vowels in it, this cannot be a final output. If CHIPSET is the final output, the third step would be BIHQRFS. Since this has a vowel in it, this cannot be a final output.

CAT DI And LR Mock Test - 3 - Question 11

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Akbar wrote a software which modifies a string in a specific manner. The software accepts input only in the form of a text string and the modification of the text string takes place in four sequential steps, i.e., step 1, step 2 and step 3 followed by the final output. The following example gives the output of the software after each step for a particular input string:

Q. While operating the software, Akbar unknowingly altered the software such that the order of exactly two steps were interchanged. If the final output of the software did not change for the input string “PRINTER” after this alteration, which of the following steps could have been interchanged?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 11
By observing each step we can infer the logic involved in each step.

Step 1: All the vowels are replaced with the next vowel in the alphabet.

Step 2: All the consonants are replaced with the second next letter (not second next consonant) in the alphabet.

Step 3: All the vowels in the string are removed along with the spaces.

Step 4: All the letters in the odd places are replaced by the next letter and the letters in the even places are replaced by the previous letter in the alphabet.

If Step 1 and Step 2 are interchanged, there will be no change in the final output. The output after the two steps will be RTOPVIT. Similarly, if step 1 and step 3 are interchanged, the output will be RTPVT. Hence, the answer is option D.

CAT DI And LR Mock Test - 3 - Question 12

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Number of employees in an organisation who were sent for various training programmes-classified on the basis of their experience

Total Number of employees = Staff employees + Line employees

Q. What percentage of the total number of employees in the organisation were sent for SAP training?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 12
Total number of employees = Total staff + Total line employees = (150 + 252 + 75) + (170 + 300 + 98)= 1045

Number of employees sent for SAP training = (120 + 145 + 47) + (151 + 173 + 20) = 656

∴Required percentage = 656 / 1045 x 100 = 63% Choice (D)

CAT DI And LR Mock Test - 3 - Question 13

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Number of employees in an organisation who were sent for various training programmes-classified on the basis of their experience

Total Number of employees = Staff employees + Line employees

Q. At least how many staff employees with an experience between 3 and 5 years underwent training in both the programmes?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 13
3 - 5 years: Staff (Total number of employees = 252).

Let a’ be the number of staff employees who undergo both SAP and BAAN training.

145 + 170 - 3 = 252, a = 63

CAT DI And LR Mock Test - 3 - Question 14

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Number of employees in an organisation who were sent for various training programmes-classified on the basis of their experience

Total Number of employees = Staff employees + Line employees

Q. At most how many line employees with less than 3 years of experience underwent only BAAN training?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 14
< 3 years: Total line employees = 170.

Let b be the number of line employees who undergo both SAP and BAAN training 151 + 115 – 6 = 170

=> b = 96 number of employees who underwent only BAAN training = 115 - 96 = 19.

CAT DI And LR Mock Test - 3 - Question 15

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Number of employees in an organisation who were sent for various training programmes-classified on the basis of their experience

Total Number of employees = Staff employees + Line employees

Q. At most how many employees with an experience between 3 and 5 years underwent only SAP training?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 15
3 - 5 years: Staff {Total number of employees = 252)

145 + 170 - x = 252 =>x = 63.

∴Only SAP = {145 - 63) = 82.

Line (Total number of employees = 300)

173 + 254 - y = 300 =>y = 127.

∴Only SAP = 173- 127 = 46.

Total number = 82 + 46 = 128.

Alternative Solution:

The number of staff employees with an experience between 3 and 5 years Is 252. The number of staff employees with an experience between 3 and 5 years who undergo BAAN training is 170.

=> 82(251 - 170) employees did not undergo BAAN training.

∴At most 82 staff employees (mentioned above) can undergo only SAP training. The number of Line employees with an experience between 3 and 5 years is 300. The number of line employees with an experience between 3 and 5 years who undergo BAAN training is 254.

=> 46(300 - 254) employees did not undergo BAAN training. At most 46 Line employees (mentioned above) can undergo only SAP training. At most 128(82 + 46) employees can undergo only SAP training.

CAT DI And LR Mock Test - 3 - Question 16

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Three girls - Aishwarya, Ashmita and Ananya - and five boys - Raghuram, Ritvik, Rishi, Ramesh and Rana are sitting around a circular table such that no two girls are opposite or adjacent to each other. The following additional information is also known about the way they are seated:

i. Raghuram is four places away to the right of Rana.

ii. Aishwarya is to the immediate left of Ritvik.

iii. Ramesh and Ashmita are opposite each other.

iv. Rana is not adjacent to Ramesh.

v. Rishi is adjacent to two girls.

Q. Who is sitting opposite Ananya?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 16
From (v), as Rishi is adjacent to two girls and from (i), on the other side of each of these two women, either Raghuram or Rana is sitting. The arrangement is as follows

Also, as no two girls are opposite each other, the 3rd girl must be opposite Rishi.

From (ii) and the above results, the 3rd girl must be Aishwarya

∴Aishwarya is opposite Rishi.

∴Now, there is only position for Ramesh, the one to the immediate left of Aishwarya.

From (iii) and the above results, Ashmita is to the immediate left of Rishi and Ananya is to the immediate right of Rishi.

From (iv), the final arrangement is as follows.

Ritvik is opposite Ananya.

CAT DI And LR Mock Test - 3 - Question 17

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Three girls - Aishwarya, Ashmita and Ananya - and five boys - Raghuram, Ritvik, Rishi, Ramesh and Rana are sitting around a circular table such that no two girls are opposite or adjacent to each other. The following additional information is also known about the way they are seated:

i. Raghuram is four places away to the right of Rana.

ii. Aishwarya is to the immediate left of Ritvik.

iii. Ramesh and Ashmita are opposite each other.

iv. Rana is not adjacent to Ramesh.

v. Rishi is adjacent to two girls.

Q. Who is sitting three places away to the right of Rana?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 17
From (v), as Rishi is adjacent to two girls and from (i), on the other side of each of these two women, either Raghuram or Rana is sitting. The arrangement is as follows

Also, as no two girls are opposite each other, the 3rd girl must be opposite Rishi.

From (ii) and the above results, the 3rd girl must be Aishwarya

∴Aishwarya is opposite Rishi.

∴Now, there is only position for Ramesh, the one to the immediate left of Aishwarya.

From (iii) and the above results, Ashmita is to the immediate left of Rishi and Ananya is to the immediate right of Rishi.

From (iv), the final arrangement is as follows.

Ananya is three places to the right of Rana.

CAT DI And LR Mock Test - 3 - Question 18

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Three girls - Aishwarya, Ashmita and Ananya - and five boys - Raghuram, Ritvik, Rishi, Ramesh and Rana are sitting around a circular table such that no two girls are opposite or adjacent to each other. The following additional information is also known about the way they are seated:

i. Raghuram is four places away to the right of Rana.

ii. Aishwarya is to the immediate left of Ritvik.

iii. Ramesh and Ashmita are opposite each other.

iv. Rana is not adjacent to Ramesh.

v. Rishi is adjacent to two girls.

Q. Who is to the immediate left of Rishi?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 18
From (v), as Rishi is adjacent to two girls and from (i), on the other side of each of these two women, either Raghuram or Rana is sitting. The arrangement is as follows

Also, as no two girls are opposite each other, the 3rd girl must be opposite Rishi.

From (ii) and the above results, the 3rd girl must be Aishwarya

∴Aishwarya is opposite Rishi.

∴Now, there is only position for Ramesh, the one to the immediate left of Aishwarya.

From (iii) and the above results, Ashmita is to the immediate left of Rishi and Ananya is to the immediate right of Rishi.

From (iv), the final arrangement is as follows.

Ashmita is to the immediate left of Rishi.

CAT DI And LR Mock Test - 3 - Question 19

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

Three girls - Aishwarya, Ashmita and Ananya - and five boys - Raghuram, Ritvik, Rishi, Ramesh and Rana are sitting around a circular table such that no two girls are opposite or adjacent to each other. The following additional information is also known about the way they are seated:

i. Raghuram is four places away to the right of Rana.

ii. Aishwarya is to the immediate left of Ritvik.

iii. Ramesh and Ashmita are opposite each other.

iv. Rana is not adjacent to Ramesh.

v. Rishi is adjacent to two girls.

Q. Who is sitting to the immediate right of Ritvik?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 19
From (v), as Rishi is adjacent to two girls and from (i), on the other side of each of these two women, either Raghuram or Rana is sitting. The arrangement is as follows

Also, as no two girls are opposite each other, the 3rd girl must be opposite Rishi.

From (ii) and the above results, the 3rd girl must be Aishwarya

∴Aishwarya is opposite Rishi.

∴Now, there is only position for Ramesh, the one to the immediate left of Aishwarya.

From (iii) and the above results, Ashmita is to the immediate left of Rishi and Ananya is to the immediate right of Rishi.

From (iv), the final arrangement is as follows.

Rana is sitting to the immediate right of Ritvik.

CAT DI And LR Mock Test - 3 - Question 20

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

The following table gives the details regarding the population and literacy rate in five districts - A, B, C, D and E. All questions pertain only to these five districts.

Q.In each of the following questions, two statements I and II are given. Assess whether each statement is true or false and mark your answer choice appropriately.

Statement I: In district B, the number of male illiterates is more than the number of female literates.

Statement II: The number of female literates in district A is 4.83 lakh.

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 20
As the given choices are not very close to each other, we need to approximately find the values.

In district A, as the male literacy rate is 70%, the number of male literates 70

= 14.3 x 70 / 100 =10 lakh and as the overall literacy rate is 55%, the number of literates is 55 / 100 x 26.5 ~ 14.6 lakh. 100

∴Number of female literates ~ 4.6 lakhs.

∴ Female literacy rate = 4.6 / 12.2 x 100 ~ 38%

Similarly values for other districts can be determined. (Note that the following table is given only for convenience and need not be necessary for answering all the questions)

The number of male illiterates in district B 35 = 9.4 x 35 / 100 = 3.29 lakh

The number of female literates in district B

= 10.8 x 41 / 100>4 lakh 100

Statement I is false.

The number of female literates in district A = 4.6 lakh

Statement II is also false.

CAT DI And LR Mock Test - 3 - Question 21

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

The following table gives the details regarding the population and literacy rate in five districts - A, B, C, D and E. All questions pertain only to these five districts.

Q. In each of the following questions, two statements I and II are given. Assess whether each statement is true or false and mark your answer choice appropriately.

Statement I: District E has the highest number of illiterate males.

Statement II: The number of illiterate males in district D is 3.32 lakh.

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 21

As the given choices are not very close to each other, we need to approximately find the values.

In district A, as the male literacy rate is 70%, the number of male literates 70

= 14.3 x 70 / 100 =10 lakh and as the overall literacy rate is 55%, the number of literates is 55 / 100 x 26.5 ~ 14.6 lakh. 100

∴Number of female literates ~ 4.6 lakhs.

∴ Female literacy rate = 4.6 / 12.2 x 100 ~ 38%

Similarly values for other districts can be determined. (Note that the following table is given only for convenience and need not be necessary for answering all the questions)

Just by observation we can determine that district A would have the highest number of illiterate males - among districts A, B, C and D. Now, the number of illiterate males in the two districts A and E are 30

District A = 30 / 100 x 14.3 = 4.29

District E = 40 / 100 x 8.3 = 3.32

∴Statement I is false.

The number of illiterate males in district D

= 20 / 100 x 16.6 =3.32

Statement II is true.

CAT DI And LR Mock Test - 3 - Question 22

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

The following table gives the details regarding the population and literacy rate in five districts - A, B, C, D and E. All questions pertain only to these five districts.

Q.In each of the following questions, two statements I and II are given. Assess whether each statement is true or false and mark your answer choice appropriately.

Statement I: The overall literacy rate of the five districts together is more than the overall literacy rate of district A.

Statement II: The female literacy rate is the highest in district D.

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 22
As the given choices are not very close to each other, we need to approximately find the values.

In district A, as the male literacy rate is 70%, the number of male literates 70

= 14.3 x 70 / 100 =10 lakh and as the overall literacy rate is 55%, the number of literates is 55 / 100 x 26.5 ~ 14.6 lakh. 100

∴Number of female literates ~ 4.6 lakhs.

∴ Female literacy rate = 4.6 / 12.2 x 100 ~ 38%

Similarly values for other districts can be determined. (Note that the following table is given only for convenience and need not be necessary for answering all the questions)

The overall literacy rate

= Total literate population of alldistricts / Total population of all districts

= 14.6 + 10.5 + 7.8 + 21.7 + 7.75 / 26.5 + 20.2 + 12.6 + 32.2 + 17.5 X 100 ≅ 57

Statement I is true

From the table it can be seen that the female literacy rate was the highest in D. Statement II is also true.

CAT DI And LR Mock Test - 3 - Question 23

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

The following table gives the details regarding the population and literacy rate in five districts - A, B, C, D and E. All questions pertain only to these five districts.

Q. In each of the following questions, two statements I and II are given. Assess whether each statement is true or false and mark your answer choice appropriately.

Statement I: The difference between the male and the female literacy rates is the highest in district D.

Statement II: More than 50% of the population of the five districts put together are males.

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 23
As the given choices are not very close to each other, we need to approximately find the values.

In district A, as the male literacy rate is 70%, the number of male literates 70

= 14.3 x 70 / 100 =10 lakh and as the overall literacy rate is 55%, the number of literates is 55 / 100 x 26.5 ~ 14.6 lakh. 100

∴Number of female literates ~ 4.6 lakhs.

∴ Female literacy rate = 4.6 / 12.2 x 100 ~ 38%

Similarly values for other districts can be determined. (Note that the following table is given only for convenience and need not be necessary for answering all the questions)

It can be seen from the table that the difference between the male and female literacy rates is the highest in district E.

Statement I is false.

The total male population = 14.3 + 9.4 + 5.8 + 16.6 + 8.3 = 54.4

Total female population = 12.2 + 10.8 + 6.8 + 15.6 + 8.2 = 53.6

As the number of males is more than the number of females, statement II is true.

CAT DI And LR Mock Test - 3 - Question 24

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

A wholesaler dealer, Chinta Singh, deals with only six products - A, B, C, D, E and F. He purchases the products from the company at Rs.120, Rs.400, Rs.160, Rs.320, Rs.640 and Rs.140 per unit respectively and sells them to retail shopkeepers at Rs.184, Rs.460, Rs.256, Rs.352, Rs.720 and Rs.196 per unit respectively. He sells each product only in packs of 100 units.

Q. On a certain day, if he sold a total of 200 units, then which of the following cannot be his total profit on that day?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 24
The table below gives the cost price, selling price, profit and profit percentage of each of the six products.

Choice (A) It is possible for him to realise a profit of 78,800 when he sells 100 units of D and 100 units of F.

Choice (B) It is possible for him to realise a profit of 712,800 when he sells 200 units of A.

Choice (D) It is possible for him to realise a profit of 717,600, when he sells 100 units of C and 100 units of E

∴Of the given options, choice (C) cannot be the profit amount that he could have realized on that day.

CAT DI And LR Mock Test - 3 - Question 25

DIRECTIONS for questions: Answer the questions on the basis of the information given below.

A wholesaler dealer, Chinta Singh, deals with only six products - A, B, C, D, E and F. He purchases the products from the company at Rs.120, Rs.400, Rs.160, Rs.320, Rs.640 and Rs.140 per unit respectively and sells them to retail shopkeepers at Rs.184, Rs.460, Rs.256, Rs.352, Rs.720 and Rs.196 per unit respectively. He sells each product only in packs of 100 units.

Q. On a day on which he sold all the six products, selling 200 units of each product, what was his total profit?

Detailed Solution for CAT DI And LR Mock Test - 3 - Question 25
The table below gives the cost price, selling price, profit and profit percentage of each of the six products.

The profit on selling 200 units of each product

= 200(184 - 120 + 460 - 400 + 256- 160 + 352 - 320 + 720 -640 + 196- 140)

= 200(64 + 60 + 96 + 32 + 80 + 56) = 77600.

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