Multiple choice

Directions: The following problem consists of a question followed by three statements (I), (II) and (III). You have to determine which statement(s) is/are sufficient/necessary to answer the question. What is the age of A? I. The age of A is 5/6 of the age of B. II. When B's age was half of his present age, the age of A was 2/3 of the age of B at that time. III. Five years ago, A was 4/5 of the age of B.

  1. Only I and II

  2. Only II and III

  3. Only II and either I or III

  4. Only III and either I or II

  5. Any two statements
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the ratio A=5/6B. Statement II provides a relationship between their ages at a past time, which allows solving for the ratio of their ages. Statement III provides another relationship at a different past time. Using I and II or I and III is sufficient to find the specific ages.

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