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Difficulty:
35%
(medium)
Question Stats:
75% (02:37) correct
25%
(02:54)
wrong
based on 127
sessions
History
Date
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Not Attempted Yet
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
A) 14
B) 16
C) 20
D) 24
E) 28
GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 7
Posts: 20
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.
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.
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
hence A is the answer
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
hence A is the answer
yenbh
Joined: 17 Dec 2016
Last visit: 05 May 2022
Posts: 17
Location: Viet Nam
Schools: Northeastern '21 (A)
Schools: Northeastern '21 (A)
Posts: 17
A is the answer. Details please see enclosed
Posted from my mobile device
Posted from my mobile device
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