CAT 2017 Slot 2 DILR Set 3 Q9–Q12

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2017 Slot 2, with 4 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.

Further, the following are known:
1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair.
2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum.



[Figure in the original paper]

Question 9

Which of the following is NOT necessarily true?

  1. A
    Dorm 1 needs a moderate repair
  2. B
    Dorm 5 repair will cost no more than Rs. 4 Crores
  3. C
    Dorm 7 needs an extensive repair
  4. D
    Dorm 10 repair will cost no more than Rs. 4 Crores

Answer: (D) Dorm 10 repair will cost no more than Rs. 4 Crores Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 10

What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 19 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 11

Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
What is the cost for repairing Dorm 9 (in Rs. Crores)? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 3 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 12

Suppose further that:
1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair.
2. Only one of Dorms 1 to 5 is a women's dorm.
Which of the following is a women's dorm?

  1. A
    Dorm 2
  2. B
    Dorm 5
  3. C
    Dorm 8
  4. D
    Dorm 10

Answer: (D) Dorm 10 Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.