Multiple choice

Each of the questions below consist of a question and two statements A, B and C given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. The ratio of the ages of Javed and Akhtar is 6 :11. Find out the ratio of their ages 5 years ago. A. The difference of their ages is 25 years. B. The difference of their ages after 5 years will be 25 years. C. The sum of their ages is 85 years.

  1. Only A and C together are sufficient

  2. Anyone of A, B and C is sufficient

  3. Only A and B together are sufficient

  4. Any two of A, B and C are sufficient

  5. All together are necessary
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The ratio 6:11 implies ages 6x and 11x. Any statement providing a difference or sum allows solving for x, which then allows calculating the ratio at any time point.

AI explanation

Since the present ratio of the ages of Javed and Akhtar is 6 : 11, let their present ages be 6x and 11x, making the ratio of their ages 5 years ago (6x - 5) / (11x - 5). The value of x is needed to find this ratio, and statement A provides it because the difference 11x - 6x = 25 gives x = 5. Statement B also provides the same difference because age difference remains constant at 25, and statement C provides their sum as 6x + 11x = 85, which also gives x = 5. Therefore, anyone of the three statements provides enough data to find the ratio.

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