1
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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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E
4
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Solution

## The correct option is C 7Option (c) S = I + 2II + 3III = 53 + 61 + 60 = 174 --------- (a) Given that II +3III = 24 + 35 + 27 = 86--------------(b) (a)-(b) gives us the I + II= 88 Out of 100 students, 5 have passed in none Therefore, the number of students who have passed in all 3 = 95-88 = 7

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