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Among 100 people, 40 people like tea while 58 people like coffee and 26 people like both tea and coffee, then the number of persons like neither tea n
Question

Among 100 people, 40 people like tea while 58 people like coffee and 26 people like both tea and coffee, then the number of persons like neither tea nor coffee is :

A.

46

B.

32

C.

36

D.

28

Correct option is D

Information Given:
Total people = 100
Like tea = 40
Like coffee = 58
Like both = 26
Formula Used:
n(A ∪ B) = n(A) + n(B) − n(A ∩ B)
Logic: Find people who like at least one, subtract from total
Step-by-step:
n(Tea ∪ Coffee) = 40 + 58 − 26 = 72
Neither = 100 − 72 = 28
Short Trick:
Total − (Tea + Coffee − Both)
Final Answer:
28
Final Correct Option:
D

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