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CAT 2025 Lesson : DILR: May '25 to Jun '25 - Matching - 20 May 2025
Read the following and answer the questions that follow
A, B, C, D, E, and F are six friends studying in the 10th standard. They each have different career goals: Engineer, Professor, Accountant, Scientist, Doctor, and Lawyer. Each of them has a distinct score among 400, 450, 465, 475, 480, and 490.
The following additional facts are known:
1. C's career goal is to neither be a Professor nor an Accountant, and C's score is the average of the scores achieved by A and E.
2. The total marks of B and E combined is equal to the total marks of C and F.
3. F's score is lower than A's, and F's career aspiration is to neither be a Scientist nor an Engineer.
4. The highest and lowest scores were achieved by the friends whose aspirations were Engineer and Professor respectively.
5. The student aspiring to be a Lawyer scored lower than C.
6. The student aspiring to be a Scientist scored higher than the student aspiring to be an Accountant.
1) Among the following, who scored the 3rd highest in the exam?
(1) A
(2) C
(3) D
(4) F
2) What is the combined score of the students aspiring to be a Scientist and an Accountant respectively?
(1) 850
(2) 880
(3) 955
(4) 965
3) For how many of the six friends can the career goals and scores be uniquely determined?
Answer:
4) What is E’s career goal?
(1) Doctor
(2) Lawyer
(3) Accountant
(4) Engineer
Read the following and answer the questions that follow
The ACS company has assembled a team of 19 members for a government project. Among them, there are 12 Associates: A, B, C, D, E, F, G, H, I, J, K, and L; 4 Senior Associates: M, N, O, and P; and 3 Managers: X, Y, and Z. Each Associate reports to exactly one Senior Associate and one Manager.
1. K does not report to P. Senior Associate ‘M’ has exactly 2 Associates reporting to him.
2. A, B, and C do not report to the same manager. Senior Associate ‘P’ has the most number of Associates reporting to him.
3. C, D, F, and G report to the same Senior Associate. Associates E, A, and G report to X.
4. Manager Z has exactly 5 Associates reporting to him. Each Senior Associate and each Manager has a unique number of Associates reporting to them.
5. The number of Associates reporting to Senior Associate N is not the lowest. Every Manager has at least two Associates reporting to them. Associates J and G report to the same Senior Associate.
6. One of the senior associates has only one reportee and that reportee is Associate I
7. Associates F, I, and L report to the same Manager but not Z. Associates B, H, K, and L report to the same Senior Associate.
5) For how many Associates can their respective Senior Associate and Manager be uniquely determined?
(1) 3
(2) 10
(3) 7
(4) 12
6) Who does the Senior Associate J report to?
(1) M
(2) N
(3) O
(4) P
7) Which of the following Managers and Senior Associates respectively have the same number of Associates reporting to them?
(1) M and X
(2) P and X
(3) N and Y
(4) None of the above.
8) For how many Managers can the number of associates reporting to them be uniquely determined?
(1) 1
(2) 2
(3) 3
(4) either 1 or 2
9) Who is the Senior Associate that G reports to?
(1) M
(2) N
(3) O
(4) P
Read the following and answer the questions that follow
A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of the same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most, two empty shelves can have consecutive numbers.
The following additional facts are known.
1. A and B are to be placed in consecutively numbered shelves in an increasing order.
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in an increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.
10) In how many different ways can the items be arranged on the shelves?
(1) 2
(2) 1
(3) 4
(4) 8
11) Which of the following items is not a type of biscuit?
(1) B
(2) A
(3) L
(4) G
12) Which of the following can represent the numbers of the empty shelves in a possible arrangement?
(1) 1,7,11,12
(2) 1,5,6,12
(3) 1,2,6,12
(4) 1,2,8,12
13) Which of the following statements is necessarily true?
(1) There are two empty shelves between the biscuits and the candies
(2) All candies are kept before biscuits
(3) All biscuits are kept before candies
(4) There are at least four shelves between items B and C
A, B, C, D, E, and F are six friends studying in the 10th standard. They each have different career goals: Engineer, Professor, Accountant, Scientist, Doctor, and Lawyer. Each of them has a distinct score among 400, 450, 465, 475, 480, and 490.
The following additional facts are known:
1. C's career goal is to neither be a Professor nor an Accountant, and C's score is the average of the scores achieved by A and E.
2. The total marks of B and E combined is equal to the total marks of C and F.
3. F's score is lower than A's, and F's career aspiration is to neither be a Scientist nor an Engineer.
4. The highest and lowest scores were achieved by the friends whose aspirations were Engineer and Professor respectively.
5. The student aspiring to be a Lawyer scored lower than C.
6. The student aspiring to be a Scientist scored higher than the student aspiring to be an Accountant.
1) Among the following, who scored the 3rd highest in the exam?
(1) A
(2) C
(3) D
(4) F
2) What is the combined score of the students aspiring to be a Scientist and an Accountant respectively?
(1) 850
(2) 880
(3) 955
(4) 965
3) For how many of the six friends can the career goals and scores be uniquely determined?
Answer:
4) What is E’s career goal?
(1) Doctor
(2) Lawyer
(3) Accountant
(4) Engineer
Read the following and answer the questions that follow
The ACS company has assembled a team of 19 members for a government project. Among them, there are 12 Associates: A, B, C, D, E, F, G, H, I, J, K, and L; 4 Senior Associates: M, N, O, and P; and 3 Managers: X, Y, and Z. Each Associate reports to exactly one Senior Associate and one Manager.
1. K does not report to P. Senior Associate ‘M’ has exactly 2 Associates reporting to him.
2. A, B, and C do not report to the same manager. Senior Associate ‘P’ has the most number of Associates reporting to him.
3. C, D, F, and G report to the same Senior Associate. Associates E, A, and G report to X.
4. Manager Z has exactly 5 Associates reporting to him. Each Senior Associate and each Manager has a unique number of Associates reporting to them.
5. The number of Associates reporting to Senior Associate N is not the lowest. Every Manager has at least two Associates reporting to them. Associates J and G report to the same Senior Associate.
6. One of the senior associates has only one reportee and that reportee is Associate I
7. Associates F, I, and L report to the same Manager but not Z. Associates B, H, K, and L report to the same Senior Associate.
5) For how many Associates can their respective Senior Associate and Manager be uniquely determined?
(1) 3
(2) 10
(3) 7
(4) 12
6) Who does the Senior Associate J report to?
(1) M
(2) N
(3) O
(4) P
7) Which of the following Managers and Senior Associates respectively have the same number of Associates reporting to them?
(1) M and X
(2) P and X
(3) N and Y
(4) None of the above.
8) For how many Managers can the number of associates reporting to them be uniquely determined?
(1) 1
(2) 2
(3) 3
(4) either 1 or 2
9) Who is the Senior Associate that G reports to?
(1) M
(2) N
(3) O
(4) P
Read the following and answer the questions that follow
A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of the same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most, two empty shelves can have consecutive numbers.
The following additional facts are known.
1. A and B are to be placed in consecutively numbered shelves in an increasing order.
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in an increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.
10) In how many different ways can the items be arranged on the shelves?
(1) 2
(2) 1
(3) 4
(4) 8
11) Which of the following items is not a type of biscuit?
(1) B
(2) A
(3) L
(4) G
12) Which of the following can represent the numbers of the empty shelves in a possible arrangement?
(1) 1,7,11,12
(2) 1,5,6,12
(3) 1,2,6,12
(4) 1,2,8,12
13) Which of the following statements is necessarily true?
(1) There are two empty shelves between the biscuits and the candies
(2) All candies are kept before biscuits
(3) All biscuits are kept before candies
(4) There are at least four shelves between items B and C
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