Multiple choice

Directions: This problem consists of a question followed by three statements, labelled as A, B and C. Read the statements carefully and decide which of them is/are sufficient/necessary to answer the question. Choose the correct option accordingly. The ratio between the present ages of Sohan and Farhan is 1 : 3. Find the present age of Farhan. A. Difference between the present ages of Mahima and Sohan is 22 years. B. Difference between the present ages of Farhan and Sohan is 26 years. C. The present age of Mahima is 4 years less than thrice the present age of Sohan.

  1. Only A and C together

  2. Either B alone or A and C together

  3. Any two of them

  4. All statements are required

  5. Question cannot be answered even after using all the information
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio Sohan:Farhan = 1:3. Let Sohan = x, Farhan = 3x. Statement B says 3x - x = 26, so 2x = 26, x = 13. Farhan = 39. Statement A and C together: A says |M-x| = 22, C says M = 3x - 4. Substituting M: |3x - 4 - x| = 22, so |2x - 4| = 22. 2x - 4 = 22 -> x = 13. Both are sufficient.

AI explanation

Using Statement A and Statement C, if Mahima is 4 years less than thrice Sohan's age and their difference is 22, we have 3x - 4 - x = 22, which solves to Sohan's age x = 13 and Farhan's age as 39. Statement B directly provides the difference between Farhan and Sohan as 26, so with Farhan being 3x and Sohan being x, we get 2x = 26, yielding x = 13 and Farhan's age as 39. Therefore, either B alone or A and C together are sufficient to find Farhan's age.

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