Solutions

Get detailed explanations to advanced GMAT questions.

Question

Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?

I. Candidate X received 50% cast by men

II. Candidate Y received 60% cast by women

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Hard

Solution

Option B is the correct answer.

Option Analysis

Table-Method is the best way to solve a question of mutually exclusive type:

Statement I is insufficient: From the table above, gives us a= 0.5* (624+a)….Not sufficient as we need to find b to get our answer.

Statement II is sufficient: From the table above, gives us that 483= 0.6*(483+b)….We can find b and hence x. Sufficient