Question

In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Times of India?

(a) 200

(b) 400

(c) 600

(d) 700

This question was addressed to me by my school teacher while I was bunking the class.

My question is from Practical Problems on Union and Intersection of Two Sets in division Sets of Mathematics – Class 11

Answer 1

Right option is (b) 400

Best explanation: Since all people read newspaper so, n (T ∪ H) = 1000.

n(H) = 600 and n(T) = 700.

n (T ∪ H) = n (T) + n (H) – n (T ∩ H)

1000 = 700 + 600 – n (T ∩ H)

n (T ∩ H) = 1300-1000 = 300.

n (T ∩ H’) = n (T) – n (T ∩ H) = 700-300 = 400.

400 persons read only Hindustan Times.