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Question

# In an examination, 53 passed in Maths, 61 passed in Physics, 60 in Chemistry, 24 in Maths&Physics, 35 in Physics & Chemistry, 27 in Maths& Chemistry and 5 in none. Find the number of students who passed in all subjects if the total number of students who had appeared in the examination was 100.

A
5
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B
6
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C
7
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D
8
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Solution

## The correct option is C 7C X = I + II + III = 100 – 5 = 95As 5 students have passed in none. S = I + 2II + 3III = 53 + 61 + 60 = 174 S – X = II + 2III = 174 – 95 = 79 ... (i) Number of people who have passed in two subject = 24 + 35 + 27 = 86 = II + 3III... (ii) From (i) and (ii), III = 86 – 79 = 7 So, people who have passed in all three subjects = 7

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