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negative-remainder MCQ Questions for Class 10

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3 questions tagged with negative-remainder.

Question 1/3 Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

यदि (m) को 12 से भाग देने पर शेषफल 5 है, तो (m-19) को 12 से भाग देने पर शेषफल क्या होगा?

If (m) leaves remainder 5 when divided by 12, what is the remainder when (m-19) is divided by 12?

Explanation opens after your attempt
Correct Answer

A. 10

Step 1

Concept

Write (m=12q+5).

Step 2

Why this answer is correct

(m-19=12q-14=12(q-2)+10), so the remainder is 10.

Step 3

Exam Tip

If subtraction gives a negative remainder, add the divisor enough times to make it valid. चरण 1: (m=12q+5) लिखें। चरण 2: (m-19=12q-14=12(q-2)+10), इसलिए शेषफल 10 है। चरण 3: घटाव में ऋणात्मक शेषफल आए तो भाजक को उचित बार जोड़कर वैध शेषफल बनाएं।

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Question 2/3 Medium Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 4

यदि (a=13q+1), तो (a-3) को (13) से भाग देने पर शेषफल क्या होगा?

If (a=13q+1), what is the remainder when (a-3) is divided by (13)?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

(a-3=13q-2), but the remainder should not be negative.

Step 2

Why this answer is correct

(13q-2=13(q-1)+11), so the remainder is (11).

Step 3

Exam Tip

When a negative remainder appears, add the divisor to make the correct remainder. चरण 1: (a-3=13q-2) मिलता है, पर शेषफल ऋणात्मक नहीं होना चाहिए। चरण 2: (13q-2=13(q-1)+11), इसलिए शेषफल (11) है। चरण 3: ऋणात्मक शेषफल मिलने पर भाजक जोड़कर सही शेषफल बनाएं।

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Question 3/3 Medium Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 4

यदि (a=20q+3), तो (a-5) को (20) से भाग देने पर सही शेषफल क्या होगा?

If (a=20q+3), what is the correct remainder when (a-5) is divided by (20)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

(a-5=20q-2), but the remainder cannot be negative.

Step 2

Why this answer is correct

(20q-2=20(q-1)+18), so the correct remainder is (18).

Step 3

Exam Tip

If a negative remainder appears, reduce the quotient by one and make the remainder positive. चरण 1: (a-5=20q-2) मिलता है, पर शेषफल ऋणात्मक नहीं हो सकता। चरण 2: (20q-2=20(q-1)+18), इसलिए सही शेषफल (18) है। चरण 3: ऋणात्मक शेषफल दिखे तो भागफल एक घटाकर शेषफल धनात्मक बनाएं।

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