Question 3:
Let W be the number of women and C be the number of children.
Then W:C = 5:2 or C = 2W/5
Let the number of men be M.
(1) C:M = 5:11 or M = 11C/5, which is NOT SUFFICIENT to answer the question.
(2) 2nd statement is NOT SUFFICIENT as gives no information on the no. of men.
Combining (1) and (2), we get, W < 30 and M = 11C/5 = 22W/25 (Putting C = 2W/5 in M = 11C/5)
Now, M = 22W/25 and W < 30 implies that the only possible value of W = 25 as it has to be an integer which also should be multiple of 25.
Since we know W = 25, we can find M.
The correct answer is [spoiler](C).[/spoiler]
Does that help?
Rahul Lakhani
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