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by tonebeeze » Tue Mar 08, 2011 6:34 am
In a certain school, out of a total of 65 students, 80 percent are currently enrolled in either a history course or literature course, or both. How many of the students are currently enrolled in a history course?

1. Ten of the students are currently enrolled in both a history course and a literature course.

2. Thirty-three of the students are currently enrolled in a literature course.
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Source: — Data Sufficiency |
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by clock60 » Tue Mar 08, 2011 7:17 am
got C here with the number in history class=39
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by tonebeeze » Tue Mar 08, 2011 7:31 am
OA: C

I prematurely selected B \

L + H = .8(65) = 52, thus 13 students not found in either class. So when I knew that L + H = 52, I subtracted 52 from 33 and got 19 for H.

But when I plugged out everything in a overlapping set matrix, it was clear that the answer was C
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by Geva@EconomistGMAT » Tue Mar 08, 2011 7:36 am
clock60 wrote:got C here with the number in history class=39
I get 29, but the actual number is not important - I'm with you on C.
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by kareem.firoz » Tue Mar 08, 2011 11:03 pm
From statements 1&2;

(H union L) = 65* 80% = 52
(H intersection L) = 10
L = 33

53 = H + 33 - 10
H=29
Hence, answer is C
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