यदि \(U={1,2,\ldots,90}\), (A) (5) के गुणजों का और (B) (9) के गुणजों का समुच्चय है, तो (n\(A\cup B\)) कितना होगा?
If \(U={1,2,\ldots,90}\), (A) is the set of multiples of (5) and (B) is the set of multiples of (9), then what is (n\(A\cup B\))?
Explanation opens after your attempt
Correct Answer
A. (26)
Concept
Multiples of (5) are (18), multiples of (9) are (10), and multiples of (45) are (2), so the union is (18+10-2=26). Do not count common multiples twice.
Why this answer is correct
The correct answer is A. (26). Multiples of (5) are (18), multiples of (9) are (10), and multiples of (45) are (2), so the union is (18+10-2=26). Do not count common multiples twice.
Exam Tip
(5) के गुणज (18), (9) के गुणज (10), और (45) के गुणज (2) हैं, इसलिए संघ (18+10-2=26) है। साझा गुणजों को दोबारा न गिनें।
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