Multiple choice

The question below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Question: In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil. Statements: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. Data in I alone is sufficient

  2. Data in II and III is sufficient

  3. Data in I and II or II and III is sufficient

  4. Data in all the statements I, II and III is not sufficient

  5. Data in all statements together is necessary
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the sum of 5 ages (36*5 = 180). Statement II gives the sum of 3 ages (75). Statement III relates Anil and Ajay. Even with all three, we have: N+V+Nitya+Ajay+Anil = 180, N+V+Anil = 75, Anil = Ajay+12. Substituting gives Nitya+Ajay+Ajay+12 = 105, which is not enough to isolate Anil's age.

AI explanation

From statement I, the total age of all five members is 5 times 36, which equals 180 years. From statements I and II combined, the total age of Ajay and Nitya is 180 minus 75, which equals 105 years. Even when combining all three statements, we can only establish a relationship between Ajay and Anil while Nitya's age remains an unknown variable. Therefore, the data in all the statements I, II and III is not sufficient.

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