Aptitude - Average - Discussion

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

2. 

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
[E]. Both I and II are necessary to answer

Answer: Option B

Explanation:

 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).


Mana said: (Sep 24, 2011)  
I am bit confused why one is not considered as not sufficient to answer.

Because we are able to take 45 as the result.

Adibh Gajbhiye said: (Sep 24, 2012)  
As it is mentioned that 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. Thus A=x+1(considering c=x), but how come B=x+1 . Please clarify

Malik said: (Sep 3, 2013)  
@Adibh.

Eg we take C = 1.

Then A is more then C so A = C+2 or 2+C.

B = C+1.

Mansi said: (Sep 5, 2013)  
How B = x+1 ?

Didn't understood.

Please help.

Ani said: (Nov 8, 2013)  
A is more by 2 than the candidates interviewed by panel c and is more by 1 than the candidates interviewed by panel B.

Means A=c+2 and A=B+1.

This implies,
B+1=c+2 thus B=c+1.

Venkatesh said: (Dec 22, 2013)  
Why not (E. Both I and II are necessary to answer) is correct. Since without knowing how many persons they interview on an average we cannot go to two. Right?

Hardik said: (Nov 6, 2014)  
Answer is right (B).

In II statement they clearly mentioned 45 student so no need of first statement.

Roni said: (Jan 8, 2015)  
Here A equals to x.

Then C equals to (x-2) & B equals to (x-1).

So statement B is correct but answer is 16 instead of 14.

Suhaib said: (Jan 20, 2016)  
How it is 3x please any one explain?

Kartikeya said: (May 14, 2016)  
Option B is right.

Let interviews by A = x,
then by B = x - 1, and by C = x - 2.

Interviews by A + B + C = 45.
Therefore, x + (x - 1) + (x - 2) = 45.

So, 3x - 3 = 45.
Hence, 3x = 48 then x = 16. (interviews by A).

Though if we take C = x,
Interviews by A = x + 2, and by B = one less than A.
So, x + 2 - 1, then x + 1.

Now A + B + C = 45,
=> (x + 2) + (x + 1) + x = 45.
3x = 42.
Then, x = 14.

But here x= number of candidates by C.
So, by A it's still 16. (A = x + 2).

Avinash Nayak said: (Jul 15, 2016)  
a + b + c = 45---(1)
a = c + 2 => c = a - 2---(2)
a = b + 1 => b = a - 1---(3)
Substitute 2 & 3 in 1

a + a - 1 + a - 2 = 45.
3a = 48
a =16..

Vikas said: (Sep 28, 2016)  
Can anyone tell me in the Q they have asked to find How many candidates has been interview by A?

Then why it is finding the solution for B?

Vikas said: (Sep 28, 2016)  
Then why is it finding for C?

Ritu Raj said: (Feb 28, 2017)  
I am confused that the question is asking about how many candidates of A interviewed EVERYDAY?

Why we are answering the total candidates of A interviewed. I am not able to calculate the number of candidates interviewed by A EVERYDAY. Can anyone clarify me?

Mansi said: (Jan 4, 2018)  
Why the answer is not E option because here with the help of both the statements we are able to find the answer. Can anyone please help me?

Grace said: (Jul 22, 2018)  
(i) alone is neither sufficient nor required because:.

Avg=sum of observations/no. Of observations.
According to (ii) total is 45, which implies.
Avg=45/3.
Therefore, Avg=15 (proves (i) is not required).

By only knowing total and avg (given in (i) ) we cannot conclude how many candidates were interviewed by either A, B or C. (proves (i) is not sufficient).

Since (ii) has all the required info, it is the only right option.

Also (E) cannot be the option as both Statements are not required to answer the problem.

Gautami said: (Dec 29, 2018)  
Yes, the answer is 16 because A = x+2 = 14+2 = 16.

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