on a certain tour, ratio of number of women to number of children was 10

on a certain tour, ratio of number of women to number of children was 10 to 4. what was the no of men on the tour?

(1) ratio of children to men was 10 to 22
(2) no of women on the tour was less than 30

Ratio of women (W) to children (C) is 10:4 or 5:2

(1) this only gives a ratio, and the prompt only provides a ratio.

W:C:M = 25:10:22.

With only ratios, there is no way to determine the actual # of men. INSUFFICIENT.

(2) this provides the actual number of women on the tour, but combined with the prompt provides no info on the # of men. INSUFFICIENT.

Together we find that if W<30 then the only condition that can be followed is that the number of W = 22. Hence number of M = 22

Ans C