Dorms

CAT 2017 Slot 2 · DILR · Medium · Bar Chart

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Passage / data set

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.

Cost distribution from bar chart:

  • Rs. 1 or 2 Crores (Light Repair): 3 dorms (1 cost Rs.1, 2 cost Rs.2)
  • Rs. 3 or 4 Crores (Moderate Repair): 4 dorms (3 cost Rs.3, 1 cost Rs.4)
  • Rs. 5 or 6 Crores (Extensive Repair): 3 dorms (1 cost Rs.5, 2 cost Rs.6)

Question 1 of 4

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

Explanation

Dorm 10 is even-numbered, so it cannot need moderate repair. It can need light or extensive repair. Thus, its cost could be Rs. 5 or 6 Crores (extensive repair), making option D not necessarily true.

Question 2 of 4

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

Answer

19

Explanation

Odd dorms (1, 3, 5, 7, 9) costs: Dorm 1 = 3, Dorm 3 = 3, Dorm 5 = 4, Dorm 7 = 6, Dorm 9 = 3. Total sum = 3+3+4+6+3=193 + 3 + 4 + 6 + 3 = 19.

Question 3 of 4

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)?
Answer

3

Explanation

Dorm 9 cost is determined to be 3 Crores.

Question 4 of 4

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

Explanation

Analyzing the sum of costs for 4 dorms equal to Rs. 20 Crores with only one among 1 to 5 reveals Dorm 10 is a women's dorm.

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