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remainder-multiplication MCQ Questions for Class 10

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4 questions tagged with remainder-multiplication.

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

यदि (x) को 10 से भाग देने पर शेषफल 7 है, तो (3x) को 10 से भाग देने पर शेषफल क्या होगा?

If (x) leaves remainder 7 when divided by 10, what is the remainder when (3x) is divided by 10?

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

Write (x=10q+7).

Step 2

Why this answer is correct

(3x=30q+21=10(3q+2)+1), so the remainder is 1.

Step 3

Exam Tip

In multiplication questions, multiply the remainder and reduce it by the divisor. चरण 1: (x=10q+7) लिखें। चरण 2: (3x=30q+21=10(3q+2)+1), इसलिए शेषफल 1 है। चरण 3: गुणा के सवालों में शेषफल को गुणा करके फिर भाजक से घटाएं।

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

यदि (a) को (6) से भाग देने पर शेषफल (5) है, तो (2a) को (6) से भाग देने पर शेषफल क्या होगा?

If (a) leaves remainder (5) when divided by (6), what is the remainder when (2a) is divided by (6)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

Let (a=6q+5).

Step 2

Why this answer is correct

(2a=12q+10=6(2q+1)+4), so the remainder is (4).

Step 3

Exam Tip

(10) cannot be the remainder because it is greater than (6). चरण 1: (a=6q+5) मानें। चरण 2: (2a=12q+10=6(2q+1)+4), इसलिए शेषफल (4) है। चरण 3: (10) शेषफल नहीं हो सकता क्योंकि यह (6) से बड़ा है।

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Question 3/4 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 4

यदि (a=7q+5), तो (3a) को (7) से भाग देने पर शेषफल क्या होगा?

If (a=7q+5), what is the remainder when (3a) is divided by (7)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

The remainder of (a) is (5), so for (3a), check \(3 \times 5=15\).

Step 2

Why this answer is correct

\(15=7 \times 2+1\), so the remainder is (1).

Step 3

Exam Tip

In such questions, work with the remainder instead of the whole number. चरण 1: (a) का शेषफल (5) है, इसलिए (3a) के लिए \(3 \times 5=15\) देखें। चरण 2: \(15=7 \times 2+1\), इसलिए शेषफल (1) होगा। चरण 3: ऐसे सवाल में पूरी संख्या नहीं, केवल शेषफल पर काम करें।

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

यदि (a=5q+4), तो (2a) को (5) से भाग देने पर शेषफल क्या होगा?

If (a=5q+4), what is the remainder when (2a) is divided by (5)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(2a=2(5q+4)=10q+8).

Step 2

Why this answer is correct

(8=5+3), so (2a=5(2q+1)+3) and the remainder is (3).

Step 3

Exam Tip

In multiplication-based questions, first multiply the old remainder and then divide by the divisor. चरण 1: (2a=2(5q+4)=10q+8)। चरण 2: (8=5+3), इसलिए (2a=5(2q+1)+3) और शेषफल (3) है। चरण 3: गुणा वाले प्रश्न में पहले शेषफल को गुणा करके फिर भाजक से बाँटें।

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