Aspire Faculty ID #3639 · Topic: NIMCET 2012 · Just now
NIMCET 2012

In a class of 100 students, 55 passed in Mathematics and 67 passed in Physics.The number of students who passed in Physics only is:

Solution

Use the formula: 
$\text{Physics only} = n(P) - n(M \cap P)$ 
First find $n(M \cap P$) using: 
$n(M) + n(P) - n(M \cap P) = 100$ 
So: $55 + 67 - n(M \cap P) = 100$ 
$122 - n(M \cap P) = 100$ 
$n(M \cap P) = 22$ 
Now: $\text{Physics only} = 67 - 22 = 45$
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