Sets Relations And Functions Question 100

Question: In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car and bus. Then person travelling by car or bus is

Options:

A) 80 percent

B) 40 percent

C) 60 percent

D) 70 percent

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ n(C)=20,n(B)=50,n(C\cap B)=10 $
    Now $ n(C\cup B)=n(C)+n(B)-n(C\cap B) $ $ =20+50-10=60 $
    Hence, required number of persons = 60%.