Multiple choice

Find which information are necessary to answer the question asked. In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil. I. The average age of five family members is 36 years. II. The total age of Nidhi, Vidhi and Anil is 75 years. III. The present age of Anil is 12 years more than the age of Ajay.

  1. All three together are sufficient

  2. I and III

  3. II and (I or III)

  4. All three together are not sufficient

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

For Anil's age: Statement I gives total age = 180 years (5 × 36). Statement II gives Nidhi + Vidhi + Anil = 75. Statement III says Anil = Ajay + 12. From I and II: Nitya + Ajay = 105. With III, we have Anil - Ajay = 12 and Nitya + Ajay = 105, but we still can't determine individual values. Three people's ages are unknown with only two equations. The information is insufficient.

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