Statement (1) is not enough because from the percentage of women who voted for candidate X being twice that of men who voted for candidate X, we cannot find the number of women who voted for candidate X.
For example, it is possible that from the 9000 people who voted, 5000 were women and 4000 were women. If 20% of the voting women voted for candidate X, and only 10% of the men did, candidate X would be 1,400 votes. However, if 40% women voted for candidate X and 20% men did, then candidate X would get 2,800 votes. In both cases the number of women voting for candidate X is different and yet statement (1) is satisfied.
Therefore statement (1) is insufficient alone.
Using statement (2), we know the number of men who voted for candidate X. However, this does not give us the number of men who voted, nor does it give us either the number of women who voted or the number of women who voted for candidate X.
Therefore statement (2) alone is also insufficient.
Now combine statement (1) and statement (2):
We now know the number of men who voted for candidate X but we still do not know the total number of men who voted. We need to know this because without knowing this, we cannot calculate the total number of women who voted. And without knowing the number of total women who voted, we cannot find the percentage of women who voted for candidate X to arrive at the number of women who voted for candidate X.
Therefore statement (1) and (2) together are also insufficient. The answer is (E).
_________________
Free profile evaluation by top b-school alumni: email us at info@gyanone.com
B-school application service http://www.gyanone.com/appone.html
[b]Visit our blog: www.gyanone.com/blog
close
78% (01:29) correct
