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

Redeem

Favourable candidate

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 am
Thanked: 173 times
Followed by:2 members
GMAT Score:710

Favourable candidate

by gmatmachoman » Sun Sep 19, 2010 9:50 pm
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.

OA: A
Last edited by gmatmachoman on Mon Sep 20, 2010 10:30 pm, edited 1 time in total.
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pm
Thanked: 215 times
Followed by:7 members

by kvcpk » Sun Sep 19, 2010 11:28 pm
Number of people who did not respond favorable for M = 20+40 = 60
Number of people who did not respond favorable for N = 35+35 = 70

(1) The number of voters who did not respond favorable for either candidate was 40.
Total Number of candiadtes who did not respond favorable =
Number of people who did not respond favorable for M +
Number of people who did not respond favorable for N -
Number of people who did not respond favorable for Both

= 60+70-40 = 90.

Therefore number of people who did not respond favorable for both = 90.
Therefore people who respnded favorable = 100-90 = 10.

(2) The number of voters who responded unfavorable for both candidates was 10.
From this we will know only unfavorable responses. But not NOTSUREresponses.
hence INSUFF

to calculate:
Total unfavorable = unfavourable for M + unfavourable for N + unfavourable for both
= 20+35 - 10 = 45.
Now we do not know NOT SURE respondents count.
Hence INSUFF.

pick A.
"Once you start working on something,
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 307
Joined: Sun Jul 11, 2010 7:52 pm
Thanked: 36 times
Followed by:1 members
GMAT Score:640

by limestone » Sun Sep 19, 2010 11:36 pm
I myself came up with an wrong answer.Thanks kvcpk for your easy-to-understand answer.
"There is nothing either good or bad - but thinking makes it so" - Shakespeare.
Top
User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pm
Thanked: 215 times
Followed by:7 members

by kvcpk » Sun Sep 19, 2010 11:49 pm
limestone wrote:I myself came up with an wrong answer.Thanks kvcpk for your easy-to-understand answer.
Thanks Buddy. Glad it helped!!
"Once you start working on something,
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
Top
User avatar
Senior | Next Rank: 100 Posts
Posts: 82
Joined: Sat Aug 21, 2010 8:18 am
Location: India
Thanked: 5 times

by sumit.sinha » Mon Sep 20, 2010 1:46 am
gmatmachoman wrote: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.

We can also solve it using a triple-axis matrix:

_____________M Fav______M UnFav_______M Not Sure____Total
N Fav__________x___________________________________30
N UnFav____________________________________________35
N Not Sure__________________________________________35
Total__________40_________20_____________40________100

What is x?

(1)
_____________M Fav______M UnFav_______M Not Sure____Total
N Fav__________x___________________________________30
N UnFav_______b1__________a1____________a2_________35
N Not Sure_____b2__________a3____________a4_________35
Total__________40_________20_____________40________100

I am not able to create a box here, :P so i will take help of the variables.
given that a1 + a2 + a3 + a4 = 40

Therefore, b1 + b2 = 35+35 - 40 =30
so, x = 40-30 = 10
SUFFICIENT

(2)

_____________M Fav______M UnFav_______M Not Sure____Total
N Fav__________x___________________________________30
N UnFav__________________10________________________35
N Not Sure__________________________________________35
Total__________40_________20_____________40________100

Cant solve for x. INSUFFICIENT.

CORRECT ANSWER (A)
Cheers,
Sumit
Top
Post new topic Post Reply
• Page 1 of 1