Question
In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
Answer: Option A
:
A
We know that (A ∪ B) = A + B - (A ∩ B), where (A ∪ B) represents the set of people who have enrolled for at least one of the two subjects Math or Economics and (A n B) represents the set of people who have enrolled for both the subjects Math and Economics.
Note: -
(A ∪B) = A + B - (A ∩ B) ⇒ (A ∪B) = 40 + 70 - 15 = 95%
That is 95% of the students have enrolled for at least one of the two subjects Math or Economics. Therefore, the remaining 5% did not enroll for either of the two subjects.
Approach 2- Using S-X Technique
S = 40% + 70% = 110%, X = ? and II = 15%
S - X = II, ⇒ 110% - X = 15% ⇒ X = 95%. Therefore, the remaining 5% did not enrol for either of the two subjects.
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:
A
We know that (A ∪ B) = A + B - (A ∩ B), where (A ∪ B) represents the set of people who have enrolled for at least one of the two subjects Math or Economics and (A n B) represents the set of people who have enrolled for both the subjects Math and Economics.
Note: -
(A ∪B) = A + B - (A ∩ B) ⇒ (A ∪B) = 40 + 70 - 15 = 95%
That is 95% of the students have enrolled for at least one of the two subjects Math or Economics. Therefore, the remaining 5% did not enroll for either of the two subjects.
Approach 2- Using S-X Technique
S = 40% + 70% = 110%, X = ? and II = 15%
S - X = II, ⇒ 110% - X = 15% ⇒ X = 95%. Therefore, the remaining 5% did not enrol for either of the two subjects.
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