We have to find out no of men on the tour, and we are give the ration Woman to Children. If we find out the ratio of one of these entities to Men and the total of number of Woman or Children, we are done.
Let us assign some nomenclature to the problem W : women, C : children, Men : M
We already know W:C = 5:2
Using Condition 1)
This tells us C:M = 5 : 11
Hence we get W:C:M = 25:10:33
However, this does not suffice to answer the question. INSUFFICIENT
Using Condition 2)
The number of woman < 30. This also does not tell anything.
Let us try to combine both the conditions
if the woman are < 30,and number of woman have to be a +ve integer & we also know the ratio of W:C:M as 25:10:33, this can only be possible if # of W = 25, hence the number of Men = 33
Answer is C. Combining the statements is SUFFICIENT to answer the question.