Target Test Prep's 2024 GMAT Focus Edition prep is discounted for the BTG community!

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

Sets

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 20
Joined: Wed Apr 07, 2010 3:18 pm

Sets

by amp0201 » Tue May 01, 2012 6:37 pm
Q. Favorable Unfavorable Not Sure

Candidate M: 40 20 40
Candidate N: 30 35 35

The table above shows the results of a survey of 100 voters each responded "favorable" or
"unfavorable" or "not sure" when asked about their impressions of candidate M and of candidate N.
What was the number of voters who responded "favorable" for both candidates?

(1) The number of voters who did not respond "favorable" for either candidate was 40.
(2) The number of voters who responded "unfavorable" for both candidates was 10.

Please answer along with explanation. Also is there a way if such problems can be solved using something similar to double-set matrix?
Top
Senior | Next Rank: 100 Posts
Posts: 59
Joined: Sun Mar 11, 2012 8:57 pm
Location: India
Thanked: 16 times
Followed by:1 members

by shantanu86 » Tue May 01, 2012 9:37 pm
Good question!!

IMO its [spoiler][A][/spoiler]

Explanation after some discussion :)
If you feel like it, hit thanks :)
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Tue May 01, 2012 10:56 pm
amp0201 wrote:Q. Favorable Unfavorable Not Sure

Candidate M: 40 20 40
Candidate N: 30 35 35

The table above shows the results of a survey of 100 voters each responded "favorable" or
"unfavorable" or "not sure" when asked about their impressions of candidate M and of candidate N.
What was the number of voters who responded "favorable" for both candidates?

(1) The number of voters who did not respond "favorable" for either candidate was 40.
(2) The number of voters who responded "unfavorable" for both candidates was 10.

Please answer along with explanation. Also is there a way if such problems can be solved using something similar to double-set matrix?
Let us assume that the number of voters who responded favorable for both candidates = N

Numbers of voters who responded favorable for at least one candidates = 40 + 30 - N = 70 - N

(1) The number of voters who did not respond favorable for either candidate was 40 implies the voters responded favorable for at least one 100 - 40 = 60 = 70 - N or N = 10; SUFFICIENT.

(2) The number of voters who responded unfavorable for both candidates was 10; NOT sufficient.

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1