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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?
  • a)
    5%
  • b)
    15%
  • c)
    0%
  • d)
    25%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a class, 40% of the students enrolled for Math and 70% enrolled fo...
We know that (A U B) = A + B — (A n B), where (A U 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.
(AUB)=A+B—(AnB) * (A u 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 balance (100 — 95)% = 5% of the students have not enrolled for either of the two subjects.
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