Multiple choice

Directions: The question below is followed by three statements (I), (II) and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question. The sum of the present ages of A and B is 56 and that of B and C is 64. What is the present age of A? Statements: I. The ratio of the age of C to that of B was 11 : 15, six years ago. II. The difference between the ages of A and C is 8 years. III. The age of B was twice the age of A, four years ago.

  1. I alone

  2. I and III

  3. Either II or III alone

  4. Either I or III alone

  5. Any one of the three
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given A+B=56 and B+C=64. From I: (C-6)/(B-6) = 11/15. From II: |A-C|=8. From III: B-4 = 2(A-4). Statement I provides a relation between B and C, which combined with B+C=64 allows finding B and C, and thus A. Statement III provides a direct relation between A and B, which combined with A+B=56 allows finding A. Thus, either I or III is sufficient.

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