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?
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
55−6060−65MenWomenMenWomenYOGAIND50US00CYCLINGIND2030US186203JOGGINGIND3AxxUS7yyWALKINGIND310515US310515
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
55−6060−65MenWomenMenWomenYOGAINDp5q0US00CYCLINGIND2030US186203JOGGINGIND3111US7144WALKINGIND310515US310515
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
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=yqAnd 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 follows55−6060−65MenWomenMenWomenYOGAIND50US00CYCLINGIND2030US186203JOGGINGIND3AxxUS7yyWALKINGIND310515US310515
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
55−6060−65MenWomenMenWomenYOGAINDp5q0US00CYCLINGIND2030US186203JOGGINGIND3111US7144WALKINGIND310515US310515
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
