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function based MCQ Questions for Class 12

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Question 1/1 Expert Mathematics Relations and Functions Equivalence relation Class 12 Level 18

समुच्चय \(A=\{1,2,3,4,5,6,7,8\}\) पर (aRb) तब और केवल तब जब \(\lceil \frac{a}{2}\rceil=\lceil \frac{b}{2}\rceil\)। (5) का तुल्यता वर्ग कौन-सा है?

On \(A=\{1,2,3,4,5,6,7,8\}\), (aRb) if and only if \(\lceil \frac{a}{2}\rceil=\lceil \frac{b}{2}\rceil\). Which is the equivalence class of (5)?

Explanation opens after your attempt
Correct Answer

A. ({5,6})

Step 1

Concept

\(\lceil \frac{5}{2}\rceil=3\).

Step 2

Why this answer is correct

\(\lceil \frac{6}{2}\rceil=3\), so (6) is in the same class.

Step 3

Exam Tip

In ceiling function questions, carefully check where the next integer value begins. चरण 1: \(\lceil \frac{5}{2}\rceil=3\)। चरण 2: \(\lceil \frac{6}{2}\rceil=3\), इसलिए (6) भी उसी वर्ग में है। चरण 3: छत फलन वाले प्रश्नों में अगला पूरा मान कब आता है, यह ध्यान से देखें।

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