Directions for question:
The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.
In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.
Dr Sanyal was able to gather the following partial information :
Hostel inmates |
Menu preference for dinner |
Total |
||
Egg Meal |
Fish Meal |
Chicken Meal |
||
Gents |
20 |
|||
Ladies |
64 |
|||
Total |
60 |
The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :
1. Forty percent of the hostel inmates were ladies
2. One-third of the gentlemen inmates preferred an egg meal for dinner
3. Half the hostel inmates preferred either fish meal or chicken meal
Question:
How many of the hostel inmates were ladies who preferred a chicken meal for dinner ?
16
32
64
None of the above
We now know that :
Hostel inmates |
Menu preference for dinner |
Total |
||
Egg Meal |
Fish Meal |
Chicken Meal |
||
Gents |
32 |
44 |
20 |
96 |
Ladies |
48 |
16 |
0 |
64 |
Total |
80 |
60 |
20 |
160 |
The number of lady hostel inmates who preferred a chicken meal for dinner = 0
Hence ‘None of the above’ is the correct option