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# M21-18

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Math Expert
Joined: 02 Sep 2009
Posts: 56272

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16 Sep 2014, 01:11
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:02) correct 25% (01:01) wrong based on 132 sessions

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Among the 150 people attending GMAT preparation course, if 90 attend Verbal classes, 80 attend Quant classes, and 35 are on a special challenging program and do not attend either the Verbal or Quant classes, how many people attend only Quant classes?

A. 25
B. 35
C. 40
D. 45
E. 50

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Math Expert
Joined: 02 Sep 2009
Posts: 56272

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16 Sep 2014, 01:11
Official Solution:

Among the 150 people attending GMAT preparation course, if 90 attend Verbal classes, 80 attend Quant classes, and 35 are on a special challenging program and do not attend either the Verbal or Quant classes, how many people attend only Quant classes?

A. 25
B. 35
C. 40
D. 45
E. 50

$$\{Total\} = \{Verbal\} + \{Quant\} - \{Both\} + \{Neither\}$$;

$$150 = 90 + 80 - \{Both\} + 35$$, solving gives $$\{Both\} = 55$$.

Therefore, since 80 people attend Quant classes and 55 people attend both classes then $$80-55=25$$ people attend ONLY Quant classes.

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Senior Manager
Joined: 08 Jun 2015
Posts: 421
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

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28 Nov 2017, 08:32
Use Venn diagram concept. Option A
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" The few , the fearless "
Intern
Joined: 22 Mar 2016
Posts: 7

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05 Apr 2018, 17:38
Can we use a table for this problem?
Re: M21-18   [#permalink] 05 Apr 2018, 17:38
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# M21-18

Moderators: chetan2u, Bunuel