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In a class of 25 students, each student studies either Spani

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

CAT Tests
In a class of 25 students, each student studies either Spani [#permalink] New post 05 Aug 2018, 14:42
Expert's post
00:00

Question Stats:

50% (01:09) correct 50% (00:08) wrong based on 12 sessions
In a class of 25 students, each student studies either Spanish, Latin, or French, or two of the three, but no students study all three languages. 9 study Spanish, 7 study Latin, and 5
study exactly two languages.

Quantity A
Quantity B
The number of students who study French
14


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1600 [0], given: 373

CAT Tests
Re: In a class of 25 students, each student studies either Spani [#permalink] New post 07 Aug 2018, 16:52
Expert's post
Explanation

The problem specifies that no one studies all three languages. In addition, a total of 5 people study two languages.

Thus, 5 people have been double-counted. Since the total number of people who have been double-counted (5) and triple-counted (0) is known, use the standard overlapping sets
formula:

Total = Spanish + French + Latin – (Two of the three) – 2(All three)
25 = 9 + French + 7 – 5 – 2(0)
25 = 11 + French
14 = French

The two quantities are equal.
_________________

Sandy
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Re: In a class of 25 students, each student studies either Spani   [#permalink] 07 Aug 2018, 16:52
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In a class of 25 students, each student studies either Spani

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