Ratio, Average and Ages MCQs – Page 2

Solved Ratio, Average and Ages MCQs with step-by-step solutions: proportions, averages, average speed and age problems for competitive exams.

1. 21

   Milk and water are mixed in the ratio 7 : 3 in 40 litres of mixture. How much water is in the mixture?

   A10 litresB14 litresC28 litresD12 litres

   Correct answer: D. 12 litres

   Total parts = 10. Water = (3 ÷ 10) × 40 = 12 litres.

   easyShow answer
2. 22

   A cricketer has an average of 40 runs in 10 innings. How many runs must he score in the 11th innings to raise his average to 42?

   A42B60C52D62

   Correct answer: D. 62

   Runs needed in 11 innings = 11 × 42 = 462. Runs so far = 10 × 40 = 400. Required = 462 − 400 = 62.

   mediumShow answer
3. 23

   The sum of the present ages of a mother and daughter is 55 years. Ten years from now, the mother will be twice as old as the daughter. What is the daughter’s present age?

   A15 yearsB25 yearsC20 yearsD12 years

   Correct answer: A. 15 years

   Let daughter = d, mother = 55 − d. In 10 years: 65 − d = 2(d + 10), so 3d = 45 and d = 15 years (mother 40).

   hardShow answer