The average age of eleven players in a cricket team is 28 years. I'm curious about the captain's age. I. The captain is eleven years older than the player who is the youngest on the team. II. Except for the captain, the average age of the ten players is 27.3 years. III. Taking the captain and the youngest player out of the equation, the average ages of the three groups of three players are 25 years, 28 years, and 30 years, respectively.
A. Any two of the three
B. All I, II and III
C. II only or I and III only
D. None of these
Answer:C
The average age of eleven players in a cricket team is 28 years. I'm curious about the captain's age. I. The captain is eleven years older than the player who is the youngest on the team. II. Except for the captain, the average age of the ten players is 27.3 years. III. Taking the captain and the youngest player out of the equation, the average ages of the three groups of three players are 25 years, 28 years, and 30 years, respectively.
A. Any two of the three B. All I, II and III C. II only or I and III only D. None of these
Explanation: The total age of the 11 players is 308 years (28 x 11).C = Y + 11 C - Y = 11 C - Y = 11 C - Y = 11 C - Y = 11 C - Y = 11 (i),II. The total age of the ten players (without the captain) is 273 years (27.3 x 10) years.Captain's age is (308 - 273) years, which equals 35 years.As a result, C = 35. (ii),We derive Y = 24 from I and (ii).[ (25 x 3) + (28 x 3) + (30 x 3)] Total age of 9 players = [ (25 x 3) + (28 x 3) + (30 x 3)] 249 years is the number of years.C + Y = 59 (308 - 249).... (iii)C = 35 is obtained by multiplying I and (iii).As a result, the answer can be found alone in II.In addition, the answer is given by the combination of I and III.