ExamAdept

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

Answer: C

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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How many marks did Tarun secure in English?
I.	The average mark obtained by Tarun in four subjects including English is 60.
II.	The total marks obtained by him in English and Mathematics together are 170.
III.	The total marks obtained by him in Mathematics and Science together are 180.

A:

I and II only

B:

II and III only

C:

I and III only

D:

All I, II and III

Answer: E

I gives, total marks in 4 subjects = (60 x 4) = 240.

II gives, E + M = 170

III gives, M + S = 180.

Thus, none of (A), (B), (C), (D) is true.

Correct answer is (E).

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What is the average age of children in the class?
I.	The age of the teacher is as many years as the number of children.
II.	Average age is increased by 1 year if the teacher's age is also included.

A:

I alone sufficient while II alone not sufficient to answer

B:

II alone sufficient while I alone not sufficient to answer

C:

Either I or II alone sufficient to answer

D:

Both I and II are not sufficient to answer

Answer: D

Let there be x children.

I gives, age of teacher = x years.

II gives, average age of (x + 1) persons = (x + 1) years.

Teacher's age = (x + 1) (x + 1) - x² = (x² + 1 + 2x) - x² = (1 + 2x)

Thus, teacher's age cannot be obtained.

Correct answer is (D)

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How many candidates were interviewed everyday by the panel A out of the three panels A, B and C?
I.	The three panels on average interview 15 candidates every day.
II.	Out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel c and is more by 1 than the candidates interviewed by panel B.

A:

I alone sufficient while II alone not sufficient to answer

B:

II alone sufficient while I alone not sufficient to answer

C:

Either I or II alone sufficient to answer

D:

Both I and II are not sufficient to answer

Answer: B

I. Total candidates interviewed by 3 panels = (15 x 3) = 45.

II. Let x candidates be interviewed by C.

Number of candidates interviewed by A = (x + 2).

Number of candidates interviewed by B = (x + 1).

x + (x + 2) + (x + 1) = 45

3x = 42

x = 14

Hence, the correct answer is (B).

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The average age of P, Q, R and S is 30 years. How old is R?
I.	The sum of ages of P and R is 60 years.
II.	S is 10 years younger than R.

A:

I alone sufficient while II alone not sufficient to answer

B:

II alone sufficient while I alone not sufficient to answer

C:

Either I or II alone sufficient to answer

D:

Both I and II are not sufficient to answer

Answer: D

P + Q + R + S = (30 x 4) P + Q + R + S = 120 .... (i)

I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

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Questions for: Average