Multiple choice

What is the sum of the age of Akhilesh and Sangram? Statement I: The age of Akhilesh is 4 years more than the age of Sangram. Statement II: 28% of the age of Sangram is equal to 21% of the age of Akhilesh. Statement III: The ratio between half of the age of Akhilesh and one third of the age of Sangram is 2: 1.

  1. If either statement III alone or statements I and II together are sufficient.

  2. If only statement III is sufficient.

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

  4. If all statements I, II, and III together are sufficient.

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: A = S + 4. Statement II: 0.28S = 0.21A → 28S = 21A → 4S = 3A. Together with I: 4S = 3(S+4) → S = 12, A = 16. Sum = 28. Statement III: (A/2)/(S/3) = 2/1 → 3A/2S = 2 → 3A = 4S, which is same as Statement II. So I+II or I+III both work. Option C says 'I and (II or III)' which matches.

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