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.
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. 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).
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.
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).
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?
A=C+2 -----------> (ii)
A=B+1 -----------> (iii)
From (ii) + (iii)
2A = B+C+3,
=> 2A-B-C=3 -------> (iv)
from (i) + (iv).
3A=48,
A=16.
Option [B] is correct but the value of A should be 16.
Means A=c+2 and A=B+1.
This implies,
B+1=c+2 thus B=c+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..
Then why it is finding the solution for B?