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16 Jul 2022, 22:43
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
59% (03:05) correct
41%
(03:30)
wrong
based on 46
sessions
History
Date
Time
Result
Not Attempted Yet
in an election involving only 2 candidates, 1/9 of the total voters did not cast their vote. 1/11 of the votes polled were declared invalid. The losing candidate got 33.5% of the valid votes polled and lost by 38400 votes. The number of total voters enrolled on the voter list was?
A. 108000
B. 132000
C. 136000
D. 144000
E. 156000
A. 108000
B. 132000
C. 136000
D. 144000
E. 156000
G-Man
Joined: 01 Apr 2022
Last visit: 28 Jun 2024
Posts: 48
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Given Kudos: 56
Location: India
Schools: ISB '25 (I) IIMA '25 (A)
GMAT 1: 690 Q50 V34
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17 Jul 2022, 10:31
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This is a fraction problem.
It is mentioned in the question that 1/9 of the voters did not cast their vote, which means 8/9 of the voters cast their votes. (casted votes = 8x/9)
Invalid votes = 8x/99
Valid votes = 80x/99
33.5% of valid votes is 38400 votes less than 66.5% votes (winning candidate)
This implies, that 33% of valid votes is = 38400
that is 80x/99 * 33/100 = 38400
After rearranging, x (no. of voters) = 144000
OPTION D
It is mentioned in the question that 1/9 of the voters did not cast their vote, which means 8/9 of the voters cast their votes. (casted votes = 8x/9)
Invalid votes = 8x/99
Valid votes = 80x/99
33.5% of valid votes is 38400 votes less than 66.5% votes (winning candidate)
This implies, that 33% of valid votes is = 38400
that is 80x/99 * 33/100 = 38400
After rearranging, x (no. of voters) = 144000
OPTION D
17 Jul 2022, 10:51
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NidhiR
in an election involving only 2 candidates, 1/9 of the total voters did not cast their vote. 1/11 of the votes polled were declared invalid. The losing candidate got 33.5% of the valid votes polled and lost by 38400 votes. The number of total voters enrolled on the voter list was?
A. 108000
B. 132000
C. 136000
D. 144000
E. 156000
A. 108000
B. 132000
C. 136000
D. 144000
E. 156000
We need an answer choice that is divisible by 9. B, C, and E are out. Let's just test A or D.
A:
108000 total voters.
12000 didn't cast votes. That means 96000 did cast votes.
1/11 were invalid. Wait, 96000 isn't divisible by 11. A is out.
We don't need to find the RIGHT answer if we can find four WRONG answers!
Answer choice D.
I like this question; kudos to NidhiR. I think the question does a great job of being solvable using quantitative skills if you feel inclined to go that route but also allows us to get to the right answer using mostly reasoning and only basic quantitative skills. After all, the two main sections of the GMAT are not Quantitative and Verbal; they are Quantitative REASONING and Verbal REASONING. Between the two section names, Reasoning appears twice and Quantitative and Verbal each appears once.
