Concept-wise Practice

identify-remainder MCQ Questions for Class 10

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Practice Questions

6 questions tagged with identify-remainder.

Question 1/6 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 3

यदि (a=29q+28), तो (a) को (29) से भाग देने पर शेषफल क्या होगा?

If (a=29q+28), what is the remainder when (a) is divided by (29)?

Explanation opens after your attempt
Correct Answer

C. (28)

Step 1

Concept

Match (a=29q+28) with (a=bq+r).

Step 2

Why this answer is correct

Here (r=28), and (28<29), so it is a valid remainder.

Step 3

Exam Tip

If the remainder is less than the divisor, the form is already correct. चरण 1: (a=29q+28) को (a=bq+r) से मिलाएं। चरण 2: यहाँ (r=28) है और (28<29), इसलिए यह वैध शेषफल है। चरण 3: यदि शेषफल भाजक से छोटा हो तो रूप पहले से सही होता है।

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Question 2/6 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 1

यदि (a=4q+2), तो (a) को (4) से भाग देने पर शेषफल क्या होगा?

If (a=4q+2), what is the remainder when (a) is divided by (4)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

Compare with (a=bq+r).

Step 2

Why this answer is correct

In (a=4q+2), (r=2).

Step 3

Exam Tip

Since (2<4), this remainder is valid. चरण 1: (a=bq+r) से तुलना करें। चरण 2: (a=4q+2) में (r=2) है। चरण 3: (2<4), इसलिए यह शेषफल मान्य है।

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Question 3/6 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 1

यदि (a=13q+5), तो (a) को (13) से भाग देने पर शेषफल क्या होगा?

If (a=13q+5), what is the remainder when (a) is divided by (13)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

Compare with (a=bq+r).

Step 2

Why this answer is correct

Here the divisor is (13) and the remainder is (5).

Step 3

Exam Tip

Since (5<13), the form is already correct. चरण 1: (a=bq+r) से तुलना करें। चरण 2: यहाँ भाजक (13) और शेषफल (5) है। चरण 3: (5<13) होने से यह रूप पहले से सही है।

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Question 4/6 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 2

यदि (a=17q+13), तो (a) को (17) से भाग देने पर शेषफल क्या होगा?

If (a=17q+13), what will be the remainder when (a) is divided by (17)?

Explanation opens after your attempt
Correct Answer

A. (13)

Step 1

Concept

Compare with the Euclidean form (a=bq+r).

Step 2

Why this answer is correct

Here the divisor is (17) and the remainder is (13), since (13<17).

Step 3

Exam Tip

Always check the range of the remainder while comparing. चरण 1: यूक्लिड रूप (a=bq+r) से तुलना करें। चरण 2: यहाँ भाजक (17) है और शेषफल (13) है, क्योंकि (13<17)। चरण 3: तुलना करते समय शेषफल की सीमा अवश्य देखें।

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Question 5/6 Easy Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 2

यदि (a=15q+14), तो (a) को (15) से भाग देने पर शेषफल क्या है?

If (a=15q+14), what is the remainder when (a) is divided by (15)?

Explanation opens after your attempt
Correct Answer

A. (14)

Step 1

Concept

Compare with the form (a=bq+r).

Step 2

Why this answer is correct

Here the divisor is (15) and the remainder is (14), which is less than (15).

Step 3

Exam Tip

When the form is already given, the remainder can be read directly. चरण 1: रूप (a=bq+r) से तुलना करें। चरण 2: यहां भाजक (15) और शेषफल (14) है, जो (15) से छोटा है। चरण 3: जब रूप पहले से दिया हो, शेषफल सीधे पढ़ा जा सकता है।

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Question 6/6 Easy Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 2

यदि \(64=9\times7+1\), तो इसमें शेषफल क्या है?

If \(64=9\times7+1\), what is the remainder?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

In (a=bq+r), the small added part is the remainder.

Step 2

Why this answer is correct

In the given expression, (1) is less than (9), so it is the remainder.

Step 3

Exam Tip

Do not interchange quotient and remainder. चरण 1: (a=bq+r) में अंत में जुड़ा छोटा भाग शेषफल होता है। चरण 2: दिए गए रूप में (1), (9) से छोटा है, इसलिए यही शेषफल है। चरण 3: भागफल और शेषफल को आपस में न बदलें।

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