BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In a hiring procedure, applicants should be recommended by t

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

In a hiring procedure, applicants should be recommended by t

by Max@Math Revolution » Thu Mar 03, 2016 5:29 pm
In a hiring procedure, applicants should be recommended by three interviewers. Of 30 applicants, 15 applicants were recommended by the first interviewer. 17 applicants were recommended by the second interviewer. 20 applicants were recommended by the third interviewer. What is the possible least number of the applicants recommended by all of the three interviewers?

A. 0
B. 2
C. 4
D. 5
E. 10


* A solution will be posted in two days.
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pm
Location: New Delhi, India
Thanked: 205 times
Followed by:24 members

by GMATinsight » Sat Mar 05, 2016 7:27 am
Max@Math Revolution wrote:In a hiring procedure, applicants should be recommended by three interviewers. Of 30 applicants, 15 applicants were recommended by the first interviewer. 17 applicants were recommended by the second interviewer. 20 applicants were recommended by the third interviewer. What is the possible least number of the applicants recommended by all of the three interviewers?

A. 0
B. 2
C. 4
D. 5
E. 10


* A solution will be posted in two days.
Please find the solution in the image attached

Answer: option A
Attachments
www.GMATinsight.com.jpg
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

In a hiring procedure, applicants should be recommended by t

by Max@Math Revolution » Sun Mar 06, 2016 2:48 am
In a hiring procedure, applicants should be recommended by three interviewers. Of 30 applicants, 15 applicants were recommended by the first interviewer. 17 applicants were recommended by the second interviewer. 20 applicants were recommended by the third interviewer. What is the possible least number of the applicants recommended by all of the three interviewers?

A. 0
B. 2
C. 4
D. 5
E. 10

Image

->The above picture is possible. 20 applicant by the third interviewer avoid intersection and can be divided by each 10 for the first interviewer and the other 10 for the second interviewer respectively. Hence, 3 intersections is at least 0, which makes A the answer.
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

In a hiring procedure, applicants should be recommended by t

by GMATGuruNY » Tue Mar 08, 2016 4:37 am
Max@Math Revolution wrote:In a hiring procedure, applicants should be recommended by three interviewers. Of 30 applicants, 15 applicants were recommended by the first interviewer. 17 applicants were recommended by the second interviewer. 20 applicants were recommended by the third interviewer. What is the possible least number of the applicants recommended by all of the three interviewers?

A. 0
B. 2
C. 4
D. 5
E. 10
Let:
F = the number recommended by the first interviewer.
S = the number recommended by the second interviewer.
T = the number recommended by the third interviewer.

Draw a VENN DIAGRAM:
Image

To MINIMIZE the value of FST, we must MAXIMIZE the values of FS, FT, and ST.

Since the total number of applicants = 30 and F=15, the greatest possible value for ST = 30-15 = 15:
Image

If ST=15, then the greatest possible value for FT = 20-15 = 5, and the greatest possible value for FS = 17-15 = 2:
Image

The diagram can be completed as follows:
Image

As illustrated by the resulting Venn Diagram, it's possible that FST = 0.

The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1