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  • Directions for question: The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the la

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:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


Answers (1)

best_answer

From the table having the partial information, it was seen that :

1) The number of ladies were 32, which was 40% of the total inmates

Thus the total number of hostel inmates were (32/40)*100 = 80 

2) Thus the number of gentlemen inmates were = (80 – 32) = 48 

3) It was found out by the Warden that one-third of the gentlemen inmates preferred an egg meal for dinner 

So the number of gentlemen inmates preferring an egg meal for dinner = 48/3 = 16 

4) It was also found out by the Warden that half the hostel inmates preferred either fish meal or chicken meal

So number of hostel inmates who preferred an egg meal for dinner = (Number of hostel inmates who preferred a fish meal for dinner + Number of hostel inmates who preferred a chicken meal for dinner) = 80/2 = 40 

5) Total number of hostel inmates who preferred a fish meal for dinner = 60 (given) 

6) Therefore, the number of hostel inmates who preferred a chicken meal for dinner = (80 – 60) = 20

7) Hence number of lady inmates who preferred a chicken meal for dinner = 20 – 20 = 0 

8) The total number of gentlemen inmates preferring a fish meal for dinner = (96 – 32 – 20) = 44

9) The number of lady inmates who preferred an egg meal for dinner = (Total hostel inmates who preferred an egg meal for dinner – Total gentlemen inmates preferring an egg meal for dinner) = (80 – 32) = 48

10) The number of lady inmates who preferred a fish meal for dinner = (Total hostel inmates who preferred a fish meal for dinner – Total gentlemen inmates preferring a fish meal for dinner) = (60 – 44) = 16

Now, from the above information, the given chart would change to the following :

 

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

Thus the proportion of lady hostel inmates who preferred a fish meal for dinner = 16/64 = 1/4 = 0.25

 

Posted by

Suraj Bhandari

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