1. 

What is the sum of the digits of the two-digit number ?

I.   The ratio between the ten's digit and unit's digit of the number is 3 : 2.

II.  The number obtained on reversing the order of its digit is 18 less than the original number.

III. The product of the digits is 24.

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

Answer: Option A

Explanation:

I. Let the tens and units digit be 3X and 2X respectively.

II. (30X + 2X) - (20X + 3X) = 18

<=> X = 2

III. 3X x 2X = 24

<=> X2 = 4

<=> X = 2

Thus, any two of the three will give the answer.

∴ Correct answer is (A)