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double-remainder MCQ Questions for Class 10

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2 questions tagged with double-remainder.

Question 1/2 Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

यदि किसी संख्या को 25 से भाग देने पर शेषफल 24 है, तो उसकी दुगुनी संख्या को 25 से भाग देने पर शेषफल क्या होगा?

If a number leaves remainder 24 when divided by 25, what remainder will twice the number leave when divided by 25?

Explanation opens after your attempt
Correct Answer

A. 23

Step 1

Concept

Let the number be (25q+24).

Step 2

Why this answer is correct

For twice the number, the remainder part is \(2\times24=48\), and (48=25+23).

Step 3

Exam Tip

After multiplication, reduce the remainder below 25. चरण 1: संख्या (25q+24) मानें। चरण 2: दुगुनी संख्या में शेषफल \(2\times24=48\) होगा, और (48=25+23)। चरण 3: गुणा के बाद शेषफल को 25 से छोटा करना जरूरी है।

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Question 2/2 Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 1

यदि एक संख्या 11 से भाग देने पर शेषफल 8 देती है, तो उसकी दुगुनी संख्या 11 से भाग देने पर क्या शेषफल देगी?

If a number leaves remainder 8 when divided by 11, what remainder will twice the number leave when divided by 11?

Explanation opens after your attempt
Correct Answer

A. 5

Step 1

Concept

Let the number be (11q+8).

Step 2

Why this answer is correct

Twice the number is (22q+16=11(2q+1)+5), so the remainder is 5.

Step 3

Exam Tip

The final remainder must always be less than 11. चरण 1: संख्या (11q+8) मानें। चरण 2: दुगुनी संख्या (22q+16=11(2q+1)+5), इसलिए शेषफल 5 होगा। चरण 3: अंतिम शेषफल हमेशा 11 से छोटा होना चाहिए।

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