1. 

What will be the sum of two numbers ?

I.   Among the two numbers, the bigger number is greater than the smaller number by 6.

II.  40% of the smaller number is equal to 30% of the bigger number.

III. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1.

A. I and II only
B. II and III only
C. All I, II and III
D. Any two of the three
E. None of these

Answer: Option A

Explanation:

Let the required number be X and Y, Where X > Y.

I. X - Y = 6 ----- (i)

II. 30X /100 = 40 Y /100

<=> 3X - 4Y = 0 ----- (ii)

III. (1/2 X) / (1/3Y) = 2/1

<=> X/Y = 4/3

Thus, I and II only give the answer.

∴ Correct answer is (A).