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Question

If there are 32 Indian men in the age group 60-65 years, then how many Indian men are there in the age group 55-60 years?

A
23
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B
25
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C
15
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D
21
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Solution

The correct option is A 23

From statement V, number of women walking in US = number of women walking in India for both years

In the group 55-60 number of women walking in US = number of women walking in India = 10

In the group 60-65 number of women walking in US = number of women walking in India = 15

Let x,p be the number of Indian and US men walking in the age group 55-60

And let y,q be the number of US men walking in the age group 60-65

Thus, x+y=8 and p+q=8. Also, from statement IV, xp=yq

And x+p=6, y+q=10

Combining these three statements together, we get x=p=3 and y=q=5

From statement 3, Among the Indians the number of men in the age group 60-65 years who like cycling is the same as the number of men in the age group of 55-60 years who like jogging and also the same as the number of men in the age group 55-60 years who like walking=3 and from statement 1 No woman in India does cycling and no woman in US does Yoga.

Continuing this way, we can fill the table as follows

55606065MenWomenMenWomenYOGAIND50US00CYCLINGIND2030US186203JOGGINGIND3AxxUS7yyWALKINGIND310515US310515

Also x+y=5

3+2x +a = 6 (given)

The only values which satisfy is for a=1, x=1 . thus, the table can be filled as

55606065MenWomenMenWomenYOGAINDp5q0US00CYCLINGIND2030US186203JOGGINGIND3111US7144WALKINGIND310515US310515

Now the question can be answered

option (a) if there are 32 men in the age group of 60-65 years, then q=23. Thus p = 15


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