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In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group?(a) 75(b) 100(c) 125(d) 175I had been asked this question by my college director while I was bunking the class.I want to ask this question from Practical Problems on Union and Intersection of Two Sets in portion Sets of Mathematics – Class 11

Answer»

The CORRECT ANSWER is (c) 125

The explanation: Given, n(H)=100, n(E)=50, n(H∩E) = 25

We know, n (H∪E) = n (H) + n (E) – n(H∩E)

n (H∪E) = 100+50-25=125

Since each of the student knows either HINDI or English, so n(U) = n (H∪E) = 125.


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