Aptitude - Average - Discussion

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

2. 

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

I. 

The captain is eleven years older than the youngest player.

 II. 

The average age of 10 players, other than the captain is 27.3 years.

 III. 

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.

[A]. Any two of the three
[B]. All I, II and III
[C]. II only or I and III only
[D]. II and III only
[E]. None of these

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).


Priya said: (Jul 23, 2014)  
Can anyone explain Pt I. ?

Why do we take C = Y+11?

Silv19 said: (Jul 24, 2014)  
Because it's known from I. That captain is eleven years older than youngest player,

Thus Captain (C) is same with Youngest player (Y) plus 11.
C = Y+11.

Peri said: (Nov 2, 2014)  
PLEASE ANY BODY TELL ME POINT 3 HOW WE TAKE C+Y = 308-249.

Mala said: (Dec 28, 2014)  
2 alone giving answer, after that 1 & 3 not alone giving answer with the help of 2 only it is also giving answer.

Rahul said: (Aug 3, 2016)  
We can't find Y without 2, so how can you say 1 & 3 will give answer alone.

Chandrasekhar said: (Sep 6, 2016)  
The captain age only asked in the question. 2 alone can give the answer. By using 1 and 3 we can get the captain age.

In 1 we have equation C - Y = 11 and in 3 equation is C + Y = 59. Solve those two equations so that we can get captain age.

Arif Sohel said: (Dec 19, 2016)  
How we will get result using only 2, we have to be use 1 & 2 together?

Balaji said: (May 21, 2018)  
Can anyone explain it again?

Namrata said: (Jun 12, 2018)  
To get the answer using 2, we have to use 1 right? Then how come the answer is C?

Please explain this in clearly.

Hemanth said: (Jul 1, 2018)  
1 & 3 alone cannot give the answer at all. Along with 1 and 3, we need the result from 2.

The answer should be 2 only.

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