यदि \(U={1,2,\ldots,100}\), \(A={x:x\in U,;4\mid x}\) और \(B={x:x\in U,;10\mid x}\), तो \(|A\cap B|\) क्या है?
If \(U={1,2,\ldots,100}\), \(A={x:x\in U,;4\mid x}\) and \(B={x:x\in U,;10\mid x}\), what is \(|A\cap B|\)?
Explanation opens after your attempt
Correct Answer
A. (5)
Concept
Common numbers must be divisible by the least common multiple (20) of (4) and (10). There are (5) such numbers up to (100).
Why this answer is correct
The correct answer is A. (5). Common numbers must be divisible by the least common multiple (20) of (4) and (10). There are (5) such numbers up to (100).
Exam Tip
सामान्य संख्याएँ (4) और (10) के लघुत्तम समापवर्त्य (20) से विभाज्य होंगी। (100) तक ऐसी (5) संख्याएँ हैं।
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