Multiple choice

Find the value of quantities and state the correct relationship. Quantity I: The age of Prabhat is thirteen times that of his daughter Pinky. If the age of Pinky is 3 years, what is the age of Prabhat? Quantity II: The ratio between the present ages of Anoop and Alok is 2 : 3. 3 years ago the ratio between their ages was 5 : 8. What will be Anoop’s age after 7 years?

  1. Quantity II ≤ Quantity I

  2. Quantity I < Quantity II

  3. Quantity II > Quantity I

  4. Quantity I > Quantity II

  5. Relation cannot be establish or Quantity I = Quantity II

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

Quantity I: Pinky=3 years, Prabhat=13×3=39 years. Quantity II: Present ratio Anoop:Alok = 2:3. 3 years ago ratio was 5:8. Let present ages be 2x, 3x. Then (2x-3)/(3x-3) = 5/8. Solving: 16x-24 = 15x-15, x=9. Anoop=18, after 7 years=25. Therefore 39 > 25, so Quantity I > Quantity II.