Question

) In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?

(a) 5

(b) 20

(c) 15

(d) 10

(e) 30; ) In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?; (a) 5; (b) 20; (c) 15; (d) 10; (e) 30

Answer 1

d)10

40=30+20-x

x=50-40=10

Answer 2

Answer:

10

Step-by-step explanation:

Number of students speak Hindi = n(H) = 30

Number of students speak English = n(E) = 20

Total number of Students = 40 =n(H∪E)

So, Now we are supposed to find the lowest possible number of students who speak both the languages i.e. n(H∩E)

n(H∪E)=n(H)+n(E)- n(H∩E)

40=30+20- n(H∩E)

n(H∩E)=30+20-40

n(H∩E)=50-40

n(H∩E)=10

So,  the lowest possible number of students who speak both the languages is 10

Hence Option D is true.