\(यदि (U={x:x \in \mathbb{N},x\le 32}) और (A={x:x \in U,x=2^k\) किसी \(k\in\mathbb{N}_0\) के लिए}), तो (n(A')) क्या है?

\(If (U={x:x \in \mathbb{N},x\le 32}) and (A={x:x \in U,x=2^k\) for some \(k\in\mathbb{N}_0}), what is (n(A'))\)?

Explanation opens after your attempt
Correct Answer

A. (26)

Step 1

Concept

Powers of (2) up to (32) are (1,2,4,8,16,32), so (A) has (6) elements. The complement has (32-6=26) elements.

Step 2

Why this answer is correct

The correct answer is A. (26). Powers of (2) up to (32) are (1,2,4,8,16,32), so (A) has (6) elements. The complement has (32-6=26) elements.

Step 3

Exam Tip

(32) तक (2) की घातें (1,2,4,8,16,32) हैं, इसलिए (A) में (6) सदस्य हैं। पूरक में (32-6=26) सदस्य हैं।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={x:x \in \mathbb{N},x\le 32}) और (A={x:x \in U,x=2^k\) किसी \(k\in\mathbb{N}_0\) के लिए}), तो (n(A')) क्या है? \(/ If (U={x:x \in \mathbb{N},x\le 32}) and (A={x:x \in U,x=2^k\) for some \(k\in\mathbb{N}_0}), what is (n(A'))\)?

Correct Answer: A. (26). Explanation: (32) तक (2) की घातें (1,2,4,8,16,32) हैं, इसलिए (A) में (6) सदस्य हैं। पूरक में (32-6=26) सदस्य हैं। / Powers of (2) up to (32) are (1,2,4,8,16,32), so (A) has (6) elements. The complement has (32-6=26) elements.

Which concept should I revise for this Mathematics MCQ?

Powers of (2) up to (32) are (1,2,4,8,16,32), so (A) has (6) elements. The complement has (32-6=26) elements.

What exam hint can help solve this Mathematics question?

(32) तक (2) की घातें (1,2,4,8,16,32) हैं, इसलिए (A) में (6) सदस्य हैं। पूरक में (32-6=26) सदस्य हैं।