Multiple choice

Which information are necessary to answer the questions asked- What is the sum of the age of Ram and Mohan? Statement I : The age of Ram is 6 years more than the age of Mohan. Statement II : 40% of the age of Mohan is equal to 30% of the age of Ram. Statement III : The ratio between half of the age of Ram and one third of the age of Mohan is 2 : 1.

  1. All three together are sufficient

  2. Any two are sufficient

  3. I and (III or II) together are sufficient

  4. III or (I and II) are sufficient

  5. None of these

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

Statement I: R = M + 6. Statement II: 0.4M = 0.3R → 4M = 3R → R = 4M/3. Combining I and II: 4M/3 = M + 6 → 4M = 3M + 18 → M = 18, R = 24. Sum = 42. Statement III: (R/2) : (M/3) = 2 : 1 → 3R = 4M → R = 4M/3 (same as II). So I + (II or III) works. I alone insufficient, II or III alone insufficient.