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04 Nov 2021, 06:45
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Difficulty:
45%
(medium)
Question Stats:
73% (02:01) correct
27%
(02:13)
wrong
based on 271
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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%
A. 10%
B. 20%
C. 30%
D. 40%
E. 50%
04 Nov 2021, 06:56
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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
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
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
03 Feb 2026, 22:56
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Each student took at least 1 quiz, so there are no students who took not one quiz.
Initial equation: 100= x + y + z
Label the sections of a Venn diagram x, y, z.
Z would be the intersection of set x and set y.
Z+y = 50
X+ y = 70
120 = x + 2y + z
-100 = -x -y - z
Sum the above equations
y = 20
Initial equation: 100= x + y + z
Label the sections of a Venn diagram x, y, z.
Z would be the intersection of set x and set y.
Z+y = 50
X+ y = 70
120 = x + 2y + z
-100 = -x -y - z
Sum the above equations
y = 20
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