\((U={1,2,3,\ldots,36}), (A={x:x\) 2 से विभाज्य है\(}) और (B={x:x\) 3 से विभाज्य है}) हैं। \((n(A\cap B)) कितना है\)?
\((U={1,2,3,\ldots,36}), (A={x:x\) is divisible by \(2}), and (B={x:x\) is divisible by \(3}). What is (n(A\cap B))\)?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
The common elements are multiples of (6), namely (6,12,18,24,30,36). Hence the count is (6).
Why this answer is correct
The correct answer is A. (6). The common elements are multiples of (6), namely (6,12,18,24,30,36). Hence the count is (6).
Exam Tip
साझा तत्व (6) के गुणज होंगे, यानी (6,12,18,24,30,36)। इसलिए संख्या (6) है।
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