Multiple choice

Passage

Directions: In the following problem, you have to find out which of the given statements is/are necessary for determining the answer of the question asked.

The ratio of the present age of son and that of his father is 1 : 3. Find the present age of the father. I. The difference between the present ages of the mother and her son is 22 years. II. The difference between the present ages of the father and his son is 26 years. III. The present age of the mother is 4 years less than thrice the present age of her son.

  1. Either II or I and III together

  2. All I, II and III

  3. Only I and II

  4. None of the three statements

  5. Only II and III
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A Correct answer
Explanation

Ratio S:F = 1:3. Let S=x, F=3x. We need x. II: F-S = 26 => 3x-x = 26 => 2x=26 => x=13. So II is sufficient. III: M = 3x-4. I: M-S = 22 => (3x-4)-x = 22 => 2x=26 => x=13. So I and III together are sufficient.

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