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In a class of 100 students exactly 15 st...

In a class of `100` students exactly `15` students passed in Physics, exactly `20` stundents passed in Chemistry and exactly `45` students passes in Mathematics. If `x_(1)` and `x_(2)` are of maximum and minimum number of students respectively failed in all 3 subjects then :

A

`x_(1)+x_(2)=75`

B

`x_(1)-x_(2)=45`

C

`x_(1)+x_(2)=85`

D

`x_(1)-x_(2)=35`

Text Solution

Verified by Experts

The correct Answer is:
A, D
In a class of …………
Case - I

When maximum number of students have failed in all three subjects
`x_(1)= 100-45 = 55` ….(i)
Case - II

When minimum number of students have failed in all three subjects.
`x_(2)=100 -(15+20+45) = 20`
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