Multiple choice

Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as: At present, the age of A is 1/3rd of the age of B then what are their ages? Statement I: After 10 years, the ratio of their ages will become 5:11. Statement II: 5 years ago, the age of A was 25% of the age of B.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

  3. The data either in statement I alone or in statement II alone is sufficient to answer the question

  4. The data given in both statements I and II together are not sufficient to answer the question

  5. The data given in both statements I and II together are necessary to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B's age = 3x, so A's age = x. Statement I: After 10 years, (x+10)/(3x+10) = 5/11. Cross-multiply: 11(x+10) = 5(3x+10), giving 11x+110 = 15x+50, so 4x = 60 and x = 15. Therefore A = 15, B = 45. Statement I alone is sufficient. Statement II: 5 years ago, A was 25% of B, so (x-5) = 0.25(3x-5). This gives x-5 = 0.75x - 1.25, so 0.25x = 3.75 and x = 15. Statement II alone is also sufficient. Since either statement works independently, C is correct.

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