Question

In a flight $50$ people speak Hindi, $20$ speak English and $10$ speak both English and Hindi. The number of people who speak at least one of the two languages is

• A. 40
• B. 50
• C. 20
• D. 80
• E. 60

Answer 1

Answer: (E)

Let $H=$ People who speak Hindi
$E=$ People who speak English
According to the questions,
$n(H)=50,n(E)=20,n(H\cap E)=10$
$\therefore$ Number of people who speak atleast two language $=n(H\cup E)$
$=n(H)+n(E)-n(H\cap E)$
$=50+20-10=60$