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

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Bunuel
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In an examination, each student appeared for at least one of the two [#permalink] In an examination, each student appeared for at least one of the two   04 Nov 2021, 06:45
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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%
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Re: In an examination, each student appeared for at least one of the two [#permalink] In an examination, each student appeared for at least one of the two   04 Nov 2021, 06:56
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

Lets say 100 students appeared for the examination
70 = Only Science + Only General
100 = 50 + Only General => Only General = 50
=> 70 = Only Science + 50
=> Only Science = 20

Alternatively,
Since 70 = Only Science + Only General, hence Both = 30
Hence, Only Science = Total Science - Both = 50 - 30 = 20

Option B
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Re: In an examination, each student appeared for at least one of the two [#permalink] In an examination, each student appeared for at least one of the two   13 May 2024, 22:08
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Re: In an examination, each student appeared for at least one of the two [#permalink]
13 May 2024, 22:08
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