In a class, there are 200 students in which 120 take Mathematics, 90 take Physics, 60 take Chemistry, 50 take Mathematics and Physics, 50 take Mathematics and Chemistry, 43 take Physics and Chemistry and 38 take Mathematics, Physics and Chemistry. Then the number of students who have taken exactly one subject is
(a) 1
(b) 2
(c) 3
(d) 4
(a) 1
(b) 2
(c) 3
(d) 4
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Answer:
(c) 3
Step-by-step explanation:
To find the number of students who have taken exactly one subject, we need to subtract the students who have taken multiple subjects from the total number of students who have taken each subject.
Let's calculate the number of students who have taken exactly one subject.
Number of students who have taken only Mathematics:
120 - (50 + 50 - 38) = 120 - 62 = 58
Number of students who have taken only Physics:
90 - (50 + 43 - 38) = 90 - 55 = 35
Number of students who have taken only Chemistry:
60 - (50 + 43 - 38) = 60 - 55 = 5
Now, let's add up the number of students who have taken exactly one subject:
58 + 35 + 5 = 98
Therefore, the number of students who have taken exactly one subject is 98.
So the correct option is:
(c) 3
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