Concept-wise Practice

algebra MCQ Questions for Class 10

algebra se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

7 questions tagged with algebra.

Question 1/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 4

यदि (a=93), (q=5) और (r=8), तो (b) का मान क्या होगा?

If (a=93), (q=5), and (r=8), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

Substitute in (a=bq+r): (93=5b+8).

Step 2

Why this answer is correct

(85=5b), so (b=17).

Step 3

Exam Tip

To find the unknown divisor, subtract the remainder first. चरण 1: (a=bq+r) में मान रखें: (93=5b+8)। चरण 2: (85=5b), इसलिए (b=17)। चरण 3: अज्ञात भाजक निकालने से पहले शेषफल घटाएं।

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Question 2/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 4

यदि (a=11q+27), तो (a) को (11) से भाग देने पर सही शेषफल क्या होगा?

If (a=11q+27), what is the correct remainder when (a) is divided by (11)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

Divide (27) by (11).

Step 2

Why this answer is correct

\(27=11 \times 2+5\), so (11q+27=11(q+2)+5).

Step 3

Exam Tip

Finding the remainder of the large added part separately is an easy method. चरण 1: (27) को (11) से बाँटें। चरण 2: \(27=11 \times 2+5\), इसलिए (11q+27=11(q+2)+5)। चरण 3: बड़े जोड़े गए भाग का अलग से शेषफल निकालना सरल तरीका है।

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Question 3/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 3

यदि (a=97), (q=8) और (r=1), तो (b) का मान क्या होगा?

If (a=97), (q=8), and (r=1), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

Substitute in (a=bq+r): (97=8b+1).

Step 2

Why this answer is correct

(96=8b), so (b=12).

Step 3

Exam Tip

To find the unknown divisor, subtract the remainder first. चरण 1: (a=bq+r) में मान रखें: (97=8b+1)। चरण 2: (96=8b), इसलिए (b=12)। चरण 3: अज्ञात भाजक निकालने से पहले शेषफल घटाना आसान तरीका है।

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Question 4/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 1

यदि (a=7q+9), तो (a) को (7) से भाग देने पर सही शेषफल क्या होगा?

If (a=7q+9), what is the correct remainder when (a) is divided by (7)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

(9) cannot be the remainder because it is greater than (7).

Step 2

Why this answer is correct

(9=7+2), so (7q+9=7(q+1)+2).

Step 3

Exam Tip

A large remainder must be converted into the correct range. चरण 1: (9) शेषफल नहीं हो सकता क्योंकि वह (7) से बड़ा है। चरण 2: (9=7+2), इसलिए (7q+9=7(q+1)+2)। चरण 3: बड़े शेषफल को सही सीमा में बदलना जरूरी है।

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Question 5/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 1

यदि (a=82), (q=6) और (r=4), तो (b) का मान क्या होगा?

If (a=82), (q=6), and (r=4), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

B. (13)

Step 1

Concept

Substitute in (a=bq+r): (82=6b+4).

Step 2

Why this answer is correct

(82-4=78), so (6b=78) and (b=13).

Step 3

Exam Tip

To find the unknown divisor, subtract the remainder first. चरण 1: (a=bq+r) में मान रखें: (82=6b+4)। चरण 2: (82-4=78), इसलिए (6b=78) और (b=13)। चरण 3: अज्ञात भाजक निकालने से पहले शेषफल घटाएं।

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Question 6/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 1

यदि (a=9q+12), तो इसे (9) से भाग देने का सही यूक्लिडीय रूप क्या होगा?

If (a=9q+12), what is its correct Euclidean form for division by (9)?

Explanation opens after your attempt
Correct Answer

B. (a=9(q+1)+3)

Step 1

Concept

The remainder must be less than (9).

Step 2

Why this answer is correct

(12=9+3), so (9q+12=9(q+1)+3).

Step 3

Exam Tip

If the leftover part is greater than the divisor, divide it again. चरण 1: शेषफल (9) से छोटा होना चाहिए। चरण 2: (12=9+3), इसलिए (9q+12=9(q+1)+3)। चरण 3: यदि बचा भाग भाजक से बड़ा हो तो उसे फिर से बाँटें।

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Question 7/7 Medium Mathematics Chapter 1: Real Numbers 1: Euclid’s Division Lemma Class 10 Level 2

यदि (a=73) और (r=3), (q=7), तो (b) का मान क्या होगा?

If (a=73), (r=3), and (q=7), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

Substitute in (a=bq+r): (73=7b+3).

Step 2

Why this answer is correct

(70=7b), so (b=10).

Step 3

Exam Tip

To find an unknown divisor, subtract the remainder first. चरण 1: (a=bq+r) में मान रखें: (73=7b+3)। चरण 2: (70=7b), इसलिए (b=10)। चरण 3: अज्ञात भाजक निकालते समय पहले शेषफल घटाएं।

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