Question

Which of the given statements are required to answer the following question?

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 digits is 18 less than the original number.
III. The product of the digits is 24.
What is the sum of the digits of the two - digit number?

• A. Any two of the three statements
• B. I only or II and III only
• C. All I, II and III
• D. I and II only
• E. Insufficient information

Answer 1

The correct option is A

Any two of the three statements

I. Let the tens and units digit be 3x and 2x respectively.
II. (30x + 2x) - (20x + 3x) = 18 $\iff$ x = 2
III. 3x $\times$ 2x = 24 $\iff$ x${}^2$ = 4 $\iff$ x = 2
Thus, any two of the three statements will give the answer.