यदि \(U={1,2,\ldots,105}\), (A) (7) के गुणजों का और (B) (15) के गुणजों का समुच्चय है, तो (n\(A\cap B\)) कितना है?
If \(U={1,2,\ldots,105}\), (A) is the set of multiples of (7) and (B) is the set of multiples of (15), then what is (n\(A\cap B\))?
Explanation opens after your attempt
Correct Answer
A. (1)
Concept
Common multiples are multiples of (\operatorname{lcm}(7,15)=105), and up to (105) only (105) appears. Hence the count is (1).
Why this answer is correct
The correct answer is A. (1). Common multiples are multiples of (\operatorname{lcm}(7,15)=105), and up to (105) only (105) appears. Hence the count is (1).
Exam Tip
साझा गुणज (\operatorname{lcm}(7,15)=105) के गुणज होंगे, और (105) तक केवल (105) है। इसलिए संख्या (1) है।
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