Expert Mathematics Chapter 1: Real Numbers Class 10 Level 3

यदि कोई संख्या (12q+5) या (12q+7) रूप में है, तो उसके वर्ग को 12 से भाग देने पर शेषफल क्या होगा?

If a number is of the form (12q+5) or (12q+7), what is the remainder when its square is divided by 12?

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

The remainders in the two forms are 5 and 7.

Step 2

Why this answer is correct

\(5^2=25\) and \(7^2=49\), and both leave remainder 1 when divided by 12.

Step 3

Exam Tip

In form-based questions, work only with the remainder. चरण 1: दोनों रूपों में शेषफल 5 या 7 है। चरण 2: \(5^2=25\) और \(7^2=49\), दोनों को 12 से भाग देने पर शेषफल 1 है। चरण 3: रूप आधारित प्रश्नों में केवल शेषफल पर काम करें।

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