In a class of 100 students, 63 like icecreams and 76 like cool drinks. How…
2018
In a class of 100 students, 63 like icecreams and 76 like cool drinks. How many of them like both?
Answer: C. 39 — To determine how many students like both ice cream and cool drinks, we use the following values: Total students = 100 Students who like ice cream (Set A) = 63…
- A.
35
- B.
37
- C.
39
- D.
40
Attempted by 109 students.
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Correct answer: C
To determine how many students like both ice cream and cool drinks, we use the following values:
Total students = 100
Students who like ice cream (Set A) = 63
Students who like cool drinks (Set B) = 76
According to the inclusion-exclusion principle:
Total = n(A) + n(B) - n(A ∩ B)
Plugging in the values:
100 = 63 + 76 - n(A ∩ B)
100 = 139 - n(A ∩ B)
n(A ∩ B) = 139 - 100 = 39
Therefore, 39 students like both .
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