1
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.
Open in App
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
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
Suggest Corrections
2
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
