Multiple choice

Find the correct relationship between given quantities. Quantity I: The present age of three business colleagues, Sumit, Anil, and Deepak is in proportion 5:7:8 respectively. Seven years ago, the sum of their ages was 79. Find the present age of Deepak in years. Quantity II: A daughter’s present age is three-fifths of the age of her mother. After seven years, she will be 2/3rd of the age of her mother. Find the mother’s present age in years.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Let ages be 5x, 7x, 8x. Seven years ago: (5x-7) + (7x-7) + (8x-7) = 79, so 20x = 100, x = 5. Deepak's age = 8x = 40 years. Quantity II: Let daughter = 3x, mother = 5x. After 7 years: (3x+7) = 2/3(5x+7). Solving: 9x+21 = 10x+14, so x = 7. Mother's age = 5x = 35 years. Since 40 > 35, option A is correct.

Keep practicing — related questions