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algebraic-remainder MCQ Questions for Class 10

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2 questions tagged with algebraic-remainder.

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

यदि (a=23q+46), तो (a) को (23) से भाग देने पर सही शेषफल क्या होगा?

If (a=23q+46), what is the correct remainder when (a) is divided by (23)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

(46) is (2) times (23).

Step 2

Why this answer is correct

(23q+46=23(q+2)+0), so the remainder is (0).

Step 3

Exam Tip

If the added part is a multiple of the divisor, the remainder can become (0). चरण 1: (46), (23) का (2) गुना है। चरण 2: (23q+46=23(q+2)+0), इसलिए शेषफल (0) है। चरण 3: यदि जोड़ा गया भाग भाजक का गुणज हो, तो शेषफल (0) बन सकता है।

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Question 2/2 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 2

यदि (a=18q+20), तो (a) को (18) से भाग देने पर सही शेषफल क्या होगा?

If (a=18q+20), what is the correct remainder when (a) is divided by (18)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

(20) cannot be the remainder because it is greater than (18).

Step 2

Why this answer is correct

(20=18+2), so (18q+20=18(q+1)+2).

Step 3

Exam Tip

The correct remainder always lies from (0) to one less than the divisor. चरण 1: (20) शेषफल नहीं हो सकता क्योंकि वह (18) से बड़ा है। चरण 2: (20=18+2), इसलिए (18q+20=18(q+1)+2)। चरण 3: सही शेषफल हमेशा (0) और भाजक से एक कम तक होता है।

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