In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then atleast ________ percentage of students passed both their Physics and Mathematics examinations.
Explanation:
Let the percentage of students who passed in both the subjects is 'x' and those who failed in both the subjects is 'n'.
Now, P ∪ M = P + M - P ∩ M
⇒ 100 - n = 60 + 68 - x
⇒ x = n + 28
x will be least when n is least. Least value of n can be 0, hence least value of x = 28
Hence, 28.
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