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KEAM 2014 Math Paper
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© examsnet.com
Question : 56
Total: 120
The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry.How many students take at least one of these two subjects?
520
490
560
480
540
Validate
Solution:
Let
M
and
C
denote the Mathematics and Chemistry.
∴
n
(
M
∩
C
)
=
30
n
(
M
)
=
30
10
%
×
100
%
=
30
×
10
=
300
and
n
(
C
)
=
30
12
%
×
100
%
=
250
∴
Number of students, whose getting atleast one subject,
n
(
M
∪
C
)
=
n
(
M
)
+
n
(
C
)
−
n
(
M
∩
C
)
=
300
+
250
−
30
=
520
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