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# At a given school, the number of students enrolled in neither an

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Status: Preparing for GMAT
Joined: 25 Nov 2015
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At a given school, the number of students enrolled in neither an  [#permalink]

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03 Apr 2018, 11:49
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5% (low)

Question Stats:

100% (00:44) correct 0% (00:00) wrong based on 33 sessions

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At a given school, the number of students enrolled in neither an accounting nor a finance course is how much greater than the number of students enrolled in both?

(1) There are 250 students enrolled in an accounting course.
(2) There are 280 students enrolled in a finance course.

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At a given school, the number of students enrolled in neither an  [#permalink]

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03 Apr 2018, 12:26
souvonik2k wrote:
At a given school, the number of students enrolled in neither an accounting nor a finance course is how much greater than the number of students enrolled in both?

(1) There are 250 students enrolled in an accounting course.
(2) There are 280 students enrolled in a finance course.

Let a = accounting only, b = finance only, c = both and d = none

By (1) a+b = 250, Answer not possible. as we need value of b and d

By (2) b+c = 280, Answer not possible. as we need value of b and d

Combining (1) and (2)
a+b = 250
b+c = 280
Still value of b and d cannot be obtained.

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Re: At a given school, the number of students enrolled in neither an  [#permalink]

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10 Sep 2019, 00:36
souvonik2k wrote:
At a given school, the number of students enrolled in neither an accounting nor a finance course is how much greater than the number of students enrolled in both?

(1) There are 250 students enrolled in an accounting course.
(2) There are 280 students enrolled in a finance course.

Official Explanation

We are given two logical categories: enrolled folks in accounting and those in finance. Those categories may overlap. So you can imagine a 2 x 2 table of possible statuses for any given individual, enrolled in just one, just the other, neither, or both. And the numbers in that 2 x 2 add up to appropriate total numbers in the rows and columns. We look at the statements. We know we will have to evaluate the statements separately, but we can tell at a glance that we don't have enough information here. We need way more information than is given by each statement individually or by either together. You could see this by writing out the table, or by considering the equation

T = G1 + G2 - B + N

Even with the statements combined, we are trying to solve one equation with three variables.

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Re: At a given school, the number of students enrolled in neither an  [#permalink]

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10 Sep 2019, 00:36
souvonik2k wrote:
At a given school, the number of students enrolled in neither an accounting nor a finance course is how much greater than the number of students enrolled in both?

(1) There are 250 students enrolled in an accounting course.
(2) There are 280 students enrolled in a finance course.

Video Explanation

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Re: At a given school, the number of students enrolled in neither an   [#permalink] 10 Sep 2019, 00:36
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