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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.
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.
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Solution
The correct option is C 7
Option (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
Option (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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