Question

What is Ravi's present age?
I. The present age of Ravi is half of that of his father.
II. After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III. Ravi is 5 years younger than his brother.

• A. I and II only
• B. II and III only
• C. I and III only
• D. All I, II and III
• E. Even with all the three statements answer cannot be determined.

Answer 1

The correct option is A I and II only

I. Let Ravi's present age be x years. Then, his father's present age = 2x years.
II. After 5 years, $\frac{\text{Ravi's age}}{\text{Father's age}}=\frac{6}{11}$
III. Ravi is younger than his brother.
From I and II, we get $\frac{x+5}{2x+5}=\frac{6}{11}$. This gives x, the answer.
Thus, I and II together give the answer. Clearly, III is redundant.
$\therefore$ Correct answer is (A)