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:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
HardSolution
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
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