ronnie1985 wrote:In a college election, 300 valid votes were cast, and each valid vote was cast either for V1 or for V2. Who won the election?
S1. Among the voters who cast valid votes, 79% of the males and 43% of the females voted for V2.
S2. The ratio of males to females in the college is 2:1.
Official answer is (A)
Explain.
The problem -- in particular, statement 1 -- was transcribed incorrectly. I've corrected the problem so that it conveys the intended meaning.
Statement 1: Among the voters who cast valid votes, 79% of the males and 43% of the females voted for V2.
The number of males who voted for V2 must be an integer.
79 is prime.
Thus, the total number of males who cast valid votes must be a multiple of 100; otherwise, the number of males who voted for V2 (79%) will not be an integer.
Case 1: 100 total male votes, 200 total female votes
Votes for V2 = .79(100) + .(43)200 = 165.
Since V2 receives more than half of the 300 votes, V2 wins.
Case 2: 200 total male votes, 100 total female votes
Votes for V2 = .79(200) + .(43)100 = 201.
Since V2 receives more than half of the 300 votes, V2 wins.
Since in each case V2 wins, SUFFICIENT.
Statement 2: The ratio of males to females in the college is 2:1.
No way to determine how many votes were cast for each candidate.
INSUFFICIENT.
The correct answer is
A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
