Jun 18 09:00 PM EDT  10:00 PM EDT Strategies and techniques for approaching featured GMAT topics. Tuesday, June 18th at 9 pm ET Jun 18 10:00 PM PDT  11:00 PM PDT Send along your receipt from another course or book to info@empowergmat.com and EMPOWERgmat will give you 50% off the first month of access OR $50 off the 3 Month Plan Only available to new students Ends: June 18th Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 16 Feb 2011
Posts: 190

Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
14 Aug 2011, 12:40
Question Stats:
50% (02:02) correct 50% (02:04) wrong based on 481 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 03 Jul 2011
Posts: 27

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 12:52
DeeptiM 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 Answer is A = 0 If A admitted 15 are overlapping with B admission of 17 But C doesnot overlap with anybody. Then no student will get nod from all the 3. Hence 0 student will get admission.



Manager
Joined: 16 Feb 2011
Posts: 190

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 12:58
timeishere wrote: DeeptiM 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 Answer is A = 0 If A admitted 15 are overlapping with B admission of 17 But C doesnot overlap with anybody. Then no student will get nod from all the 3. Hence 0 student will get admission. well might be a silly ques but how do you know they are overlapping??



Senior Manager
Joined: 03 Mar 2010
Posts: 369

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 13:04
i thought it was straight 12. applicant interview by A + applicant interview by B + applicant interview by C  total. 15+17+2040=5240=12 Did i miss something?
_________________
My dad once said to me: Son, nothing succeeds like success.



Intern
Joined: 03 Jul 2011
Posts: 27

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 13:07
jamifahad wrote: i thought it was straight 12. applicant interview by A + applicant interview by B + applicant interview by C  total. 15+17+2040=5240=12
Did i miss something? Isnt the ques saying that applicant has to get admission from all the three to get admission. "Only with three interviewers' admission can an applicant be admitted."



Senior Manager
Joined: 03 Mar 2010
Posts: 369

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 13:11
Ah Got it! Thanks timeshare.
_________________
My dad once said to me: Son, nothing succeeds like success.



Intern
Joined: 03 Jul 2011
Posts: 27

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 13:14
DeeptiM wrote: timeishere wrote: DeeptiM 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 Answer is A = 0 If A admitted 15 are overlapping with B admission of 17 But C doesnot overlap with anybody. Then no student will get nod from all the 3. Hence 0 student will get admission. well might be a silly ques but how do you know they are overlapping?? Because the ques is asking for least number of admissions. So take the worst case. In case, the ques had asked for maximum admission, then take all 3 overlapping. Then the answer would be 15.



Director
Joined: 01 Feb 2011
Posts: 635

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 19:29
A  15
B  17
C  20
as the question is asking for least possible applicants/admissions, there could be zero admissions.
there might be overlaps between A,B; B,C ; C,A. that doesn't necessarily mean there will be overlaps between all A,B and C.
Answer is A.



Manager
Joined: 03 Aug 2011
Posts: 213
Location: United States
Concentration: General Management, Entrepreneurship
GPA: 3.38
WE: Engineering (Computer Software)

Re: PS  Word Problem!!
[#permalink]
Show Tags
14 Aug 2011, 22:19
can someone confirm that this question doesn't lend itself to using the overlapping sets equation
A+B+C AB  AC  CB  2ABC = total
when I first read the question it seemed like it could, but then looking over it again, how many people A admitted, and how many people B admitted , etc has no bearing on the total number of people. In fact, they could all admit 0, so A+B+C = 0 and then that above formula can't work.
seems like it was just an effort to mislead us to thinking this was a overlapping set problem



Intern
Joined: 10 Jul 2014
Posts: 41
Concentration: Technology, Strategy

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
14 Dec 2014, 20:20
Can anyone please post the graphical explanation as a solution for this problem ?



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9330
Location: Pune, India

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
15 Dec 2014, 01:09
pairakesh10 wrote: Can anyone please post the graphical explanation as a solution for this problem ? There isn't much you need to do here for a graphical representation. Think of having a rectangle with 40 elements in it. Now draw a circle in it with 15 elements. Draw another circle which doesn't overlap this circle at all and has 20 elements in it. You have accounted for 35 elements and still have 5 elements leftover in the rectangle. Now the third circle with 17 elements can be drawn in any way inside the rectangle. There will be no elements lying in all three circles since the first two circles have no overlap. Hence it is not necessary that even one person gets admitted.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Current Student
Joined: 18 Oct 2014
Posts: 830
Location: United States
GPA: 3.98

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
10 May 2016, 11:32
'A' is the answer. Question asks the LEAST number of applicants admitted. And, an applicant only be admitted when all three interviewers gave admission. Interviewer C admitted 20 Interviewer B admitted 17 Interviewer A admitted 15 Suppose 'B' admitted 17 candidates other than 'C' admitted. And then 'A' admitted remaining '3' (402017=3) and any '12' from either 'C' or 'B'. In this case not even a single candidate is selected by all three, making the answer to be 'A'
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Manager
Joined: 29 Nov 2011
Posts: 91

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
18 Jun 2016, 02:35
Bunuel I got it right , but don't know if my method and understanding is right on this total = a+b+c {sum of two}+ all three +neither 40 = 52  {x} +y so to minimise Y , we need to maximise X , which can be 12 hence Y = 0 please correct me if I am missing anything



Intern
Joined: 21 Aug 2016
Posts: 1

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
03 Sep 2016, 12:06
Lets say II represents sum of exactly two group overlap and III represents three overlap. Now (A+B+C)Total =Surplus=(15+17+20)  40=12. Which can accommodate in II or III. Also, (A+B+C)Total =Surplus=II+2*III. So, if all 12 accommodates in II then III=0 (least value). Ans A.



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
19 Apr 2018, 17:58
DeeptiM 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 We can assume all 15 applicants admitted by A are also 15 of the 17 applicants admitted by B. Thus, so far, 17 applicants are admitted by at least one of the two interviewers A and B. However, since 17 + 20 = 37 < 40, it’s possible that none of these 17 applicants who are admitted by A and/or B are admitted by C, so the least number of applicants admitted by all three interviewers is 0. Answer: A
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Director
Joined: 29 Jun 2017
Posts: 737

Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
Show Tags
15 Sep 2018, 08:16
we have 15+17<40 so, we can choose 15 person get admittion from interview A and 17 persons get admission from interviewe B and both these group dose not have overlapping member ( we have 40 which is more than 37)
A is correct




Re: Three interviewers, A, B, and C are interviewing 40
[#permalink]
15 Sep 2018, 08:16






