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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.    
  1. 5
  2. 6
  3. 7
  4. 8


Solution

The correct option is C 7

C

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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