Multiple choice

For each of the following questions two statements are given . Use the data of those statements and then determine which of the following statements is necessary to answer the question . What is the present age of A? Statement I: The ratio of the present age of A and B is 2:3. After 10 years the ratio of the ages of B and C will be 2:1. Statement II: 5 years ago the average age of A, B and C was 11 years and after 3 years the average age of B and C will be 18 years.

  1. Statement I alone is sufficient to answer the question

  2. Statement II alone is sufficient to answer the question

  3. Either Statement I or statement II is sufficient to answer the question

  4. Neither Statement I nor statement II is sufficient to answer the question

  5. Both Statements I and II together are necessary to answer the question
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From Statement II: 5 years ago, average age of A,B,C was 11, so their total age was 33. Current total age = 33 + 15 = 48. After 3 years, average of B and C will be 18, so B+C = 36 in 3 years. Currently, B+C = 30. Therefore A = 48 - 30 = 18 years. Statement II alone is sufficient. Statement I only gives ratios but no absolute values.

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