1.  Divya is twice as old as Shruti. What is the difference in their ages?
 
I. Five years hence, the ratio of their ages would be 9 : 5. 

II. Ten years back, the ratio of their ages was 3 : 1.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option C

Explanation:

Let Divya's present age be D years and Shruti's present age b S years

Then, D = 2 x S       D - 2S = 0 ....(i)

 I. D + 5 = 9 ....(ii)
S + 5 5

II. D - 10 = 3 ....(iii)
S - 10 1

From (ii), we get : 5D + 25 = 9S + 45       5D - 9S = 20 ....(iv)

From (iii), we get : D - 10 = 3S - 30             D - 3S = -20 ....(v)

Thus, from (i) and (ii), we get the answer.

Also, from (i) and (iii), we get the answer.

I alone as well as II alone give the answer. Hence, the correct answer is (C).