Quote:
Originally Posted by smalltalk Data Sufficiency Problem
Q. On a site-seeing tour, the ratio of the number of women to the number of children is 5 to 2.
What is the number of men?
1. the ratio of the number of children to the number of men is 5 to 11.
2. the number of women is less than 30.
The answer is C, both statements together are sufficient.
Please explain how? |
Using (1) The combined ratio of women:children:men is 25:10:22. So number of women, children and men can be 25x, 10x and 22x respectively, where x=1,2,3 and so on.
Possible values (25,10,22), (50,20,44) and so on. Cannot solve by (1) alone.
Using (2) Other values are unknown.
If you use both the statements, then the number of women less than 30 is in only 1 case, ie (25,10,22).
Thus the answer is C.