Average - Data Intensity 3 :: Discussion


2.In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?
A.Any two of the three
B.All I, II and III
C.II only or I and III only
D.None of Above
Answer:  Option  C
Explanation:

Total age of 11 players = (28 x 11) years = 308 years.

 I. C = Y + 11      C - Y = 11 .... (i)

II. Total age of 10 players (excluding captain) = (27.3 x 10) years = 273 years.

Age of captain = (308 - 273) years = 35 years.

Thus, C = 35. .... (ii)

From (i) and (ii), we get Y = 24

III. Total age of 9 players = [ (25 x 3) + (28 x 3) + (30 x 3)] years = 249 years.

C + Y = (308 - 249) = 59 .... (iii)

From (i) and (iii), we get C = 35.

Thus, II alone gives the answer.

Also, I and III together give the answer.

 Correct answer is (C).

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Published by:Michael Daani

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