Multiple choice

The ratio between the present ages of the son and his father is (1: 3). Find the present age of the father. \newline Statement I: Difference between the present ages of the mother and her son is 22 years. \newline Statement II: Difference between the present ages of the father and his son is 26 years. \newline Statement III: The present age of mother is 4 years less than thrice the present age of her son.

  1. Only I and III together

  2. Either II alone or I and III together

  3. Any two of them

  4. All statements are required

  5. Question can’t be answered even after using all the statements.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age = x, then father's age = 3x (given ratio 1:3). Statement II alone gives: 3x - x = 26 years, so 2x = 26, x = 13, father = 39 years. This is sufficient. Alternatively, Statements I and III together: from I, mother = x + 22; from III, mother = 3x - 4. Equating: x + 22 = 3x - 4, so 2x = 26, x = 13, father = 39 years. Statement I alone is insufficient (only mother-son difference). Statement III alone is insufficient (only mother-son relation). Therefore, either II alone OR I and III together are sufficient.