\(यदि (U={1,2,\ldots,64}) और (A={x:x\in U,x=2^k\) जहाँ \(k\in\mathbb{N}_0}), तो (A') में (4) से विभाज्य संख्याओं की संख्या कितनी है\)?
\(If (U={1,2,\ldots,64}) and (A={x:x\in U,x=2^k\) where \(k\in\mathbb{N}_0}), how many numbers divisible by (4) are in (A')\)?
Explanation opens after your attempt
Correct Answer
A. (10)
Concept
There are (16) numbers divisible by (4) up to (64). Among them (4,8,16,32,64) are powers of (2), so (11) remain.
Why this answer is correct
The correct answer is A. (10). There are (16) numbers divisible by (4) up to (64). Among them (4,8,16,32,64) are powers of (2), so (11) remain.
Exam Tip
(64) तक (4) से विभाज्य संख्याएं (16) हैं। इनमें (4,8,16,32,64) (2) की घातें हैं, इसलिए (11) नहीं बल्कि (11) बचते हैं।
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