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Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

Correct Answer: Either b alone or a & b follows

From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35.

From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total  is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35

Therefore, statement b alone or a & c only is the answer.

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