Source: Official Guide for the GMAT 12th Ed. Section 6.3 Data Sufficiency; #124

2

# The table above shows the results of a

The table above shows the results of a survey of 100 voters who 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. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient., Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient., BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient., EACH statement ALONE is sufficient., Statements (1) and (2) TOGETHER are not sufficient.

### 1 Explanation

2

Mike McGarry, Magoosh Tutor

Nov 12, 2012 • Comment

ANNA CHENGUELLY

Hello could you please kindly advise why unfavourable in the double entry matrix includes both unfav + not sure ex: 70 for Candidate N? Thank you

Apr 24, 2017 • Reply

Cydney Seigerman, Magoosh Tutor

Hi Anna! Happy to clarify :) In this question, we want to determine the number of voters who selected "favorable" for both candidates. So, we can think about the results in two groups: 1. "favorable" and 2. not "favorable". Any vote that was not "favorable" fits in this second group. So, since both "unfavorable" and "unsure" are not "favorable," we can consider these two types of votes together, as the options that do not interest us. Again, since "unfavorable" and "not sure" result in the same outcome (a vote that is not "favorable"), we can evaluate them together, which allows us to simplify the votes into two groups and use a double matrix :)

I hope this helps!

Apr 28, 2017 • Reply