Aptitude - Average - Discussion

Discussion Forum : Average - Data Sufficiency 1 (Q.No. 2)
Directions to Solve

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.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
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).

Discussion:
18 comments Page 2 of 2.

Suhaib said:   10 years ago
How it is 3x please any one explain?

Roni said:   1 decade ago
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.

Hardik said:   1 decade ago
Answer is right (B).

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

Venkatesh said:   1 decade ago
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?

Ani said:   1 decade ago
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.

Mansi said:   1 decade ago
How B = x+1 ?

Didn't understood.

Please help.

Malik said:   1 decade ago
@Adibh.

Eg we take C = 1.

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

B = C+1.

Adibh Gajbhiye said:   1 decade ago
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


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