Search any question & find its solution
Question:
Answered & Verified by Expert
In an examination out of 100 students, 75 passed in English
60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?
Options:
60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?
Solution:
2730 Upvotes
Verified Answer
The correct answer is:
45
Total no. of students $=100$ Let $E$ denote the students who have passed in English Let $M$ denote the students who have passed in Maths $n(E)=75, n(M)=60$ and $n(E \cap M)=45$
we know $n(E \cup M)=n(E)+n(M)-n(E \cap M)$
$=75+60-45=90$
Required number of students $=90-45=4^{5}$
we know $n(E \cup M)=n(E)+n(M)-n(E \cap M)$
$=75+60-45=90$
Required number of students $=90-45=4^{5}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.