Multiple choice

The ratio between the present ages of Rohit and Rina is 1:3. Find the present age of Rina. Statement I: Difference between the present ages of Pooja and Rohit is 11 years. Statement II: The present age of Pooja is 2 years less than thrice the present age of Rohit. Statement III: Difference between the present ages of Rina and Rohit is 13 years.

  1. Only III

  2. Either I and II together or III alone

  3. All are together

  4. Only I and II

  5. None of the statements

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given Rohit:Rina = 1:3, let Rohit = x, Rina = 3x. Method 1 (III alone): Difference Rina - Rohit = 13, so 3x - x = 13, 2x = 13, x = 6.5. Rina = 19.5 years. Method 2 (I and II): Pooja - Rohit = 11, and Pooja = 3×Rohit - 2. So 3x - 2 - x = 11, 2x = 13, x = 6.5. Rina = 19.5 years. Either method gives same answer. Option B is correct.