Multiple choice

Passage

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

What is the present age of father? I. The ratio between the son's age after 5 years and father's age 10 years ago is 1:2. II. Difference of age of father and son is 25 years. III. Ratio of age of father, mother and son is 6:5:1.

  1. I and II together

  2. II and III together

  3. All three together

  4. All together are not sufficient

  5. Any two are sufficient
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let current ages be son = s, father = f, mother = m. Statement I: (s+5)/(f-10) = 1/2 → 2s + 10 = f - 10 → f = 2s + 20. Statement II: f - s = 25 → f = s + 25. From I and II: s + 25 = 2s + 20 → s = 5, f = 30. Statement III: f:m:s = 6:5:1. With s = 5 from I and II, f = 30, m = 25 (consistent with 6:5:1). II and III together: f = 6s, m = 5s from ratio, and f - s = 25 → 6s - s = 25 → s = 5, f = 30. I and III together: f = 2s + 20 and f = 6s → 6s = 2s + 20 → s = 5, f = 30. Any two statements are sufficient.

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