Question

In a cricket match, 11 players made an average score of 37 runs. If the captain's score
is not included the average is 36. On what score was the captain out?
(!) 37
(2) 1
(3) 27
(4) 47​

Answer 1

Answer:

Correct option is

C

II only or I and III only

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).

Answer 2

Answer:

The captain is out at 47 run