The average age of 12 players of a team is 25 years. If the captain’s age is included, the average age increases by 1 year. The age of the captain is :
Options:
A .  38 yrs.
B .  25 yrs.
C .  26 yrs.
D .  36 yrs.
Answer: Option A Answer: (a)Total age of 12 players = 12 × 25 = 300 Total age including captain = 13 × 26 = 338∴ Age of the captain = 338 – 300 = 38 years Aliter : Using Rule 23, ( If in a group, one member is replaced by a new member, then, Age of new member = ( age of replaced member) ± xn where, x = increase (+) or decrease (–) in average n = Number of members. ) Here, x = 1, n = 12 Age of the captain = Average + x (n + 1) = 25 + 1 (12 + 1) = 38 years
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