यदि \(U={1,2,\ldots,81}\), \(A={x:x\in U,3\mid x}\) और \(B={x:x\in U,27\mid x}\), तो \(B'\cap A\) में कितने सदस्य हैं?
If \(U={1,2,\ldots,81}\), \(A={x:x\in U,3\mid x}\), and \(B={x:x\in U,27\mid x}\), how many elements are in \(B'\cap A\)?
Explanation opens after your attempt
A. (24)
Concept
(A) has (27) multiples of (3), and (B) has (3) multiples of (27). Hence \(B'\cap A\) has (27-3=24) elements.
Why this answer is correct
The correct answer is A. (24). (A) has (27) multiples of (3), and (B) has (3) multiples of (27). Hence \(B'\cap A\) has (27-3=24) elements.
Exam Tip
(A) में (3) के (27) गुणज हैं और (B) में (27) के (3) गुणज हैं। इसलिए \(B'\cap A\) में (27-3=24) सदस्य हैं।
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