\(यदि (U={1,2,\ldots,45}), (A={x:x\) 3 से विभाज्य है\(}) और (B={x:x\) 5 से विभाज्य है\(}), तो (|(A\cap B)'|) कितना है\)?
\(If (U={1,2,\ldots,45}), (A={x:x\) is divisible by \(3}) and (B={x:x\) is divisible by \(5}), what is (|(A\cap B)'|)\)?
Explanation opens after your attempt
Correct Answer
C. (42)
Concept
\(A\cap B\) contains multiples of (15), namely (15,30,45), so it has (3) elements. Hence (|\(A\cap B\)'|=45-3=42).
Why this answer is correct
The correct answer is C. (42). \(A\cap B\) contains multiples of (15), namely (15,30,45), so it has (3) elements. Hence (|\(A\cap B\)'|=45-3=42).
Exam Tip
\(A\cap B\) में (15) के गुणज (15,30,45) हैं, इसलिए उसमें (3) अवयव हैं। अतः (|\(A\cap B\)'|=45-3=42)।
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