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algebra MCQ Questions for Class 10

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63 questions tagged with algebra.

Question 61/63 Medium Mathematics Real Numbers 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 62/63 Medium Mathematics Real Numbers 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 63/63 Medium Mathematics Real Numbers 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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