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The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to answer the question. In a football team, the average age of eleven players is 26 years. Find the age of the goalkeeper? Statement I: The goalkeeper is 11 years older than the youngest player Statement II: The average age of the 10 players other than the goalkeeper is 25.3 years Statement III: If the goalkeeper and the youngest player is not considered then the average age of the 3 groups of 3 players is 24 years, 28 years and 29 years respectively.

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to answer the question. In a football team, the average age of eleven players is 26 years. Find the age of the goalkeeper? Statement I: The goalkeeper is 11 years older than the youngest player Statement II: The average age of the 10 players other than the goalkeeper is 25.3 years Statement III: If the goalkeeper and the youngest player is not considered then the average age of the 3 groups of 3 players is 24 years, 28 years and 29 years respectively. Correct Answer II or I and III together

Total age of 11 players = 26 × 11 = 286 years

From statement I

Age of Goal Keeper = Age of youngest player + 11

⇒ G - Y = 11      ----(1)

From statement II

⇒ Total age of 10 players (excluding goalkeeper) = 25.3 × 10 = 253 years

⇒ Age of goalkeeper = 286 - 253 = 33 years

From statement III

Total age of 9 players = = 243 years

⇒ G + Y = 286 - 243 = 43 years       ----(2)

But the age of youngest player is not given

From I and III

Adding equation 1 and 2, we get

G + Y + G - Y = 43 + 11

⇒ 2G = 54

⇒ G = 54/2

⇒ G = 27 years

∴ Only statement II alone and statements I and III together are sufficient to give the answer.

Related Questions

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