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# In an examination each student appeared for at least one of the two

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Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
In an examination each student appeared for at least one of the two  [#permalink]

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03 Feb 2019, 11:01
1
5
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:50) correct 41% (02:24) wrong based on 58 sessions

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In an examination, each student appeared for at least one of the two quizzes namely, Science Quiz and General Knowledge Quiz. If 70% of the students appeared for exactly one of the two quizzes and 50% appeared for Science quiz, what percentage of the students appeared only in the science quiz?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%
Manager
Joined: 14 May 2018
Posts: 97
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 710 Q49 V38
GPA: 4
Re: In an examination each student appeared for at least one of the two  [#permalink]

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03 Feb 2019, 11:49
akurathi12 wrote:
In an examination, each student appeared for at least one of the two quizzes namely, Science Quiz and General Knowledge Quiz. If 70% of the students appeared for exactly one of the two quizzes and 50% appeared for Science quiz, what percentage of the students appeared only in the science quiz?

A. 10%
B. 20%
C. 30%
D. 40%
E. 50%

I do not know how to make venn diagrams here,
however let only science=s
and only GK=g

total=100

total=s+g-both s&g
Now,s+g=70 (as per question)

100=70-both s&g
==>both s&g=30

Now,out of 50 students who gave s, 30 also gave g
so only s=50-30=20

Ans:B
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GMAT:710 (Q49,V38,IR8,AWA5)
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Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: In an examination each student appeared for at least one of the two  [#permalink]

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03 Feb 2019, 11:53
students appeared for exactly one of the two quizzes = 70%
Students who appeared both = 100 -70 = 30%
students who appeared for science quiz = Both + Only science quiz = 50%
30%+Only science quiz = 50%
Only science quiz = 20%

IMO B
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Joined: 12 Feb 2019
Posts: 25
Location: India
Schools: CBS, ISB, IIM
GPA: 4
Re: In an examination each student appeared for at least one of the two  [#permalink]

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02 Aug 2019, 22:10
students appeared for exactly one of the two quizzes = 70%
Students who appeared both = 100 -70 = 30%
students who appeared for science quiz = Both + Only science quiz = 50%
30%+Only science quiz = 50%
Only science quiz = 20%

Re: In an examination each student appeared for at least one of the two   [#permalink] 02 Aug 2019, 22:10
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