Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? The sum of present ages of A, B, C and D is 96 years. What is B’s present age? I. The average age of A, B and D is 20 years. II. The average age of C and D is 25 years.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From statement I: A+B+D = 60 (since their average is 20). From statement II: C+D = 50 (since their average is 25). Combining with A+B+C+D = 96, we get C = 36 and D = 14. However, we only know A+B = 46, which gives multiple possibilities for B's individual age. The data is insufficient to determine B's exact age.

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