For two overlapping sets: Total = Elements in set A + Elements in set B - Elements in both set + Elements in neither
In this case, take favorable to M = set A and favorable to N = set B
Now, assume that the number of voters who responded favorable for both candidates = X
So, total voters = favorable to M + favorable to N - X + favorable to none
--> 100 = 40 + 30 - X + favorable to none
--> X = favorable to none - 30
Statement 1: favorable to none = 40
Sufficient
Statement 2: This is not enough to determine N.
Not sufficient.
The correct answer is A.
DS(Overlapping sets)
This topic has expert replies
Source: Beat The GMAT — Data Sufficiency |
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Backup Methods : General guide on plugging, estimation etc.
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