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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Three interviewers, A, B, and C are interviewing 40 applicants. Only w
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21 Nov 2021, 05:09
21 Nov 2021, 05:09
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Three interviewers, A, B, and C are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 15 applicants, B admitted 17 applicants, and C admitted 20 applicants, at least how many applicants get the admission?
(A) 0
(B) 2
(C) 6
(D) 8
(E) 12
(A) 0
(B) 2
(C) 6
(D) 8
(E) 12
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Three interviewers, A, B, and C are interviewing 40 applicants. Only w
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21 Nov 2021, 06:59
21 Nov 2021, 06:59
2
GeminiHeat wrote:
Three interviewers, A, B, and C are interviewing 40 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 15 applicants, B admitted 17 applicants, and C admitted 20 applicants, at least how many applicants get the admission?
(A) 0
(B) 2
(C) 6
(D) 8
(E) 12
(A) 0
(B) 2
(C) 6
(D) 8
(E) 12
Let's solve the question by completing a diagram with three overlapping circles.
There are 40 applicants in total
15 + 17 + 20 = 52
52 - 40 = 12
So, to minimize the number of applicants approved by all three interviewers, we need to place 12 applicants in areas where two circles overlap.
Here's one possible scenario:
Since it's possible to have a scenario in which 0 applicants gain admission (i.e., 0 applicants are in the intersection of all three circles), the correct answer is A
Re: Three interviewers, A, B, and C are interviewing 40 applicants. Only w
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22 Nov 2021, 03:07
22 Nov 2021, 03:07
1
We can assign each applicant a number from 1 to 40
We have to find the least possible selected applicants
Let us A selected applicants from No.1 to No.15 (15 total)
B selected applicants from No.24 to No.40 (17 total)
C selected applicants from No.21 to No.40 (20 total)
None of the applicants overlap in this case. Hence minimum number = 0
Hence, Answer is A
We have to find the least possible selected applicants
Let us A selected applicants from No.1 to No.15 (15 total)
B selected applicants from No.24 to No.40 (17 total)
C selected applicants from No.21 to No.40 (20 total)
None of the applicants overlap in this case. Hence minimum number = 0
Hence, Answer is A
