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Option 3 : 35
Given,
Total number of students in the class = 120
Number of students who like either Hindi or English = 100
Number of students who like Hindi = 75
Number of students who like English = 65
Calculation:
Here let set A be Hindi and set B be English
⇒ A = 75 and B = 65
⇒ A ∩ B = 100
⇒ A ∪ B + 100 = 75 + 65
⇒ A ∪ B = 140 - 100 = 40
Thus a number of students who like both subjects Hindi and English are 40.
∴ Number of students who like only Hindi subject = 75 – 40 = 35.
∴ Number of students who like only Hindi subject = 75 – 40 = 35.
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