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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1207
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

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20 Oct 2018, 09:30
3
00:00

Difficulty:

35% (medium)

Question Stats:

79% (02:39) correct 21% (02:25) wrong based on 33 sessions

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In a survey of 100 students who had studied abroad, 60 had studied in Australia, 70 had studied in Europe, and 20 studied in neither Europe nor Australia. If 60% of the students who had studied ONLY in Australia had wanted to study in Europe and 40% of the students who had studied ONLY in Europe had wanted to study in Australia, how many students had NOT studied abroad in the location they wanted?

A) 14
B) 16
C) 20
D) 24
E) 28

GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 7

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Intern
Joined: 08 Feb 2018
Posts: 20

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20 Oct 2018, 09:37
1
A.

100 = 60 + 70 - Both + 20. 50 studied both.

60% of 10 (australia) = 6
40% of 20 (europe) = 8

total 14 did not study where they wanted.
Manager
Joined: 16 Sep 2011
Posts: 96

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20 Oct 2018, 09:40
In a survey of 100 students who had studied abroad, 60 had studied in Australia, 70 had studied in Europe, and 20 studied in neither Europe nor Australia. If 60% of the students who had studied ONLY in Australia had wanted to study in Europe and 40% of the students who had studied ONLY in Europe had wanted to study in Australia, how many students had NOT studied abroad in the location they wanted?

A) 14
B) 16
C) 20
D) 24
E) 28

Lets say those who study common in Australia and Europe = x
those who study either in Australia, Europe or both = 100- 20 =80
those who study only in australia = 60- x (common)
those who study only in Europe = 70- x (common)
so 60-x+70-x= 80(total studied in both places)
hence x= 50

Now 60%(60-x) +40%(70-x)
= 36 +28-100%*x
=64-50= 14
Intern
Joined: 17 Dec 2016
Posts: 19

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20 Oct 2018, 09:45

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