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In an interview for a certain job, 120 candidates appeared and two que

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Joined: 02 Sep 2009
Posts: 65829
In an interview for a certain job, 120 candidates appeared and two que  [#permalink]

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New post 01 Jul 2020, 23:15
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (02:10) correct 43% (02:18) wrong based on 40 sessions

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In an interview for a certain job, 120 candidates appeared and two questions were asked to each candidate. How many candidates did not answer any question correctly?

(1) Of all the candidates who appeared for the interview, 20% of the candidates who answered at least one question correctly, answered both questions correctly.
(2) Of all the candidates who appeared for the interview, 25% of the candidates who answered none or both questions correctly, answered both questions correctly.



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Re: In an interview for a certain job, 120 candidates appeared and two que  [#permalink]

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New post 01 Jul 2020, 23:29
1
Question 1 correct : a + b
Question 2 correct : b + c
No correct : d

a + b + c + d = 120

To find: d

St. 1:
b = 0.2(a+b+c)

Cannot find d from this.

=> St. 1 is insufficient.

St. 2:
0.25(d + b) = b

Cannot find the value of d from this
=> St. 2 is insufficient.

St. 1 & St. 2:
a + c = 0.8b
d = 3b

=> a + b + c + d = 120
=> 0.8b + b + 3b = 120
=> 4.8b = 120
=> b = 25

=> d = 3 * 25 = 75

=> St. 1 and St. 2 together are sufficient.

Answer: C
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Re: In an interview for a certain job, 120 candidates appeared and two que  [#permalink]

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New post 02 Jul 2020, 01:48
1
Explanation:
Given: A= number of candidates who gave 0 correct answers,
B= 1 correct answer
C= 2 correct answers
A + B + C = 120
find the value of A?

Statement 1:
Number of students who answered at least one question correctly = B + C
20% of (B+C) = C
1/5 x (B+C) = C
B=4C
Not Sufficient.

Statement 2:
Number of students who answered none or all questions correctly = A + C
25% of (A+C) = C
A=3C
Not Sufficient.

From 1 & 2,
A + B + C = 120
3C + 4C + C = 120
C = 15
then A = 45

Sufficient

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Re: In an interview for a certain job, 120 candidates appeared and two que  [#permalink]

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New post 02 Jul 2020, 07:08
1
Statement 1 tells us almost nothing about those answering neither question correctly (it does tell us that at least 5 people answered a question correctly, so at most 115 did not, which isn't too helpful here), and Statement 2 tells us almost nothing about those answering exactly one question correctly, so neither can be sufficient.

Statement 1 tells us the ratio of "both right" to "only one right" is 1 to 4
Statement 2 tells us the ratio of "both right" to "none right" is 1 to 3
So the ratio of "both" to "only one" to "none" is 1 to 4 to 3, and 3/8 of the 120 people, or 45 people, answered neither question correctly. So the answer is C.
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Re: In an interview for a certain job, 120 candidates appeared and two que   [#permalink] 02 Jul 2020, 07:08

In an interview for a certain job, 120 candidates appeared and two que

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