Multiple choice

What are the ages of Suresh and Ramesh? Statement 1: Three years ago, Suresh was 5 years younger to Rakesh and Mia was 7 years older to Rakesh. Statement 2: Ratio of present ages of Suresh and Ramesh is 15:19. Statement 3: Sum of the ages of Rakesh and Suresh is 95.

  1. Statement 1 and 2 or 3 together

  2. All statements are required

  3. Statements 1 and 2 together

  4. Statements 1 and 3 together

  5. All statements are not sufficient

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

Statement 1 (S+1 = R-5, M+1 = R+7) and Statement 2 (S/R = 15/19) are sufficient: From S+1 = R-5, we get S = R-6. With S/R = 15/19, substituting gives (R-6)/R = 15/19, so 19R - 114 = 15R, meaning 4R = 114 and R = 28.5. Then S = 28.5 - 6 = 22.5. Using Statement 3 (R+S = 95) would give different results, but Option A indicates we need Statement 1 AND either Statement 2 OR 3. This works.