Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Management
  • At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any do

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently. The following 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.

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.

Question:

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?

Option: 1

Dorm 2


Option: 2

Dorm 5


Option: 3

Dorm 8


Option: 4

Dorm 10


Answers (1)

best_answer

The question states that 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 crores for repair. It also states that only one of Dorms 1 to 5 is a women's dorm.

We can use this information to determine the costs of repairing the women's dorms. If Dorm 4 is the women's dorm among Dorms 1 to 5, then the costs of repairing the women's dorms would be 6 + 6 + 5 + 3 = 20 crores. This is the only way to distribute the costs of repairing the women's dorms so that they total 20 crores and there is only one women's dorm among Dorms 1 to 5.

Therefore, Dorm 10 must be the other women's dorm, since it is the only other dorm that has a repair cost of 6 crores.

Here is a breakdown of the costs of repairing the women's dorms:

Dorm 4: 6 crores

Dorm 10: 6 crores

The total cost for repairing the women's dorms is 6 + 6 = 12 crores.

The remaining 5 dorms must cost a total of 20 - 12 = 8 crores. Since Dorms 1, 3, and 5 are not women's dorms, they must each cost 2 crores to repair. This leaves Dorms 2 and 8 as the only remaining dorms that need to be repaired, and their costs must therefore be 8 - 4 = 4 crores each.

Therefore, Dorm 10 is the only women's dorm among Dorms 2, 8, and 10.

Posted by

Ritika Kankaria

View full answer

Similar Questions

Latest Question