NIMCET 2012 — Mathematics PYQ

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Question

NIMCET 2012 — Mathematics PYQ

NIMCET | Mathematics | 2012

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

Choose the correct answer:

Explanation

1. Given Data:

Total students $n(U) = 100$
Students passed in Mathematics $n(M) = 55$
Students passed in Physics $n(P) = 67$
Assuming every student passed in at least one subject, $n(M \cup P) = 100$

2. Finding students who passed in both subjects ( $n(M \cap P)$ ):

Using the formula:

n(M \cup P) = n(M) + n(P) - n(M \cap P)

100 = 55 + 67 - n(M \cap P)

100 = 122 - n(M \cap P)

n(M \cap P) = 122 - 100 = 22

3. Finding students who passed in Physics only:

The number of students who passed in Physics only is calculated by subtracting those who passed in both subjects from the total Physics pass count:

\text{Physics only} = n(P) - n(M \cap P)

\text{Physics only} = 67 - 22

\text{Physics only} = 45

Correct Option:

(d) 45

Choose the correct answer:

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