Clinton or Obama ?

[ve_boss]

Candidate M
Favorable : 40
Unfavorable : 20
Not Sure : 40

Candidate N
Favorable :30
Unfavorable : 35
Not Sure : 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.

[DWarrior]

St 1: 40 did not vote F for either one. That means of 60 who voted U or N/S for M, 40 voted U or N/S for N and 20 must have voted F for N (otherwise they'd be increasing the number of people who didn't vote for F for either N or M). Since there were 30 who voted F for N and of those, 20 only voted F for N, then 10 of those must also have voted F for M. Thus, 10 candidates voted F for both. Sufficient.

St 2: of the 20 people who voted U for M, 10 must have voted either F or N/S for N.
of the 35 people who voted U for N, 25 must have voted either F or N/A for M.

Not enough info to determine how many voted for both. Insuff.
(not entirely sure about Statement 2, but I'm almost positive.)


A

[ve_boss]

Official Answer is A. Congrats

[bose]

imo A