Multiple choice

  1. The ratio between the present ages of the son and his mother is 5 : 2. Find the present age of the mother.I. Difference between the present ages of the father and his son is 28 years.II. Difference between the present ages of the mother and her son is 21 years.III. Difference between the present ages of father and his daughter is 35years

  1. Only I is sufficient

  2. I and II are sufficient

  3. II and III are sufficient

  4. Only II is sufficient

  5. None
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio of son:mother = 5:2 is likely a typo for 2:5 (mother is older). Let son = 2x, mother = 5x. Statement II: Mother - Son = 21. 5x - 2x = 21, 3x = 21, x = 7. Mother = 35. Only II is sufficient.

AI explanation

Let the son's age be 5x and the mother's age be 2x based on their given ratio. Statement II provides the difference between their ages, giving the equation 5x - 2x = 21. This simplifies to 3x = 21, so x equals 7 and the mother's present age is 2 times 7, or 42 years. Statement I and III mention the father and daughter, but provide no information about the mother, so only statement II is sufficient.

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