Multiple choice

Directions: The question below contains a statement followed by Quantity I and Quantity II. Find both the quantities to determine the relationship among them and mark your answer accordingly. In a cricket match, the average score of a cricketer in first five matches was 60. The average for the second, third, fourth, fifth and six matches was 70. His score in the first and sixth matches was in the ratio 1 : 3. Quantity I: Average of the score in the first and sixth matches Quantity II: 50

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I = Quantity II, or the relationship cannot be established from the information given.

  5. Quantity I ≥ Quantity II

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

Sum of first 5 matches = 300. Sum of matches 2 to 6 = 350. Let M1 be first and M6 be sixth. M6 - M1 = 50. Given M1/M6 = 1/3, M6 = 3*M1. 2*M1 = 50, M1 = 25, M6 = 75. Average of M1 and M6 = (25+75)/2 = 50. Quantity I = 50, Quantity II = 50.