Correct option is B
Concept:
Inclusion-Exclusion principle:
If A and B are two sets, the size of their union is given by
|A ∪ B| = |A| + |B| - |A ∩ B|
Solution:
There are 100 students in total.
41 students can speak English and 21 students can speak both English and Hindi.
We need to find how many students can speak only Hindi or Hindi in total.
Let E = Number of students who can speak English = 41, H = Number of students who can speak Hindi (to be found).
B = Number of students who can speak both English and Hindi = 21 and total number of students = 100.
According to the inclusion-exclusion principle, the total number of students who can speak at least
one of the two languages (English or Hindi) is E + H - B = 100 ⇒ 41 + H - 21 = 100
⇒ H = 100 - 20
⇒ H = 80
Therefore, 80 students can speak Hindi.
The correct answer is Option
(b).
