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standard form MCQ Questions for Class 10

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123 questions tagged with standard form.

Question 121/123 Medium Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 3

(400) को (31) से भाग देने पर सही यूक्लिडीय रूप कौन-सा है?

Which is the correct Euclidean form when (400) is divided by (31)?

Explanation opens after your attempt
Correct Answer

A. \(400=31 \times 12+28\)

Step 1

Concept

\(31 \times 12=372\) and \(31 \times 13=403\).

Step 2

Why this answer is correct

Since (403) is greater, \(400=31 \times 12+28\).

Step 3

Exam Tip

A form with a negative remainder is not the standard Euclidean form. चरण 1: \(31 \times 12=372\) और \(31 \times 13=403\)। चरण 2: (403) बड़ा है, इसलिए \(400=31 \times 12+28\)। चरण 3: ऋणात्मक शेषफल वाला रूप मानक यूक्लिडीय रूप नहीं है।

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Question 122/123 Medium Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

यदि (a=89) और (b=10), तो (89) का यूक्लिड विभाजन रूप कौन-सा है?

If (a=89) and (b=10), which is the Euclidean division form of (89)?

Explanation opens after your attempt
Correct Answer

A. \(89=10 \times 8+9\)

Step 1

Concept

The remainder should not be negative and must be less than (10).

Step 2

Why this answer is correct

\(10 \times 8=80\) and the remainder is (9), so \(89=10 \times 8+9\).

Step 3

Exam Tip

A form with a negative remainder is not the standard Euclidean form. चरण 1: शेषफल को ऋणात्मक नहीं रखना है और (10) से छोटा रखना है। चरण 2: \(10 \times 8=80\) और शेषफल (9) है, इसलिए \(89=10 \times 8+9\)। चरण 3: ऋणात्मक शेषफल वाला रूप यूक्लिड रूप नहीं माना जाएगा।

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Question 123/123 Easy Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 1

यूक्लिड विभाजन प्रमेयिका का मानक रूप कौन सा है?

Which is the standard form of Euclid’s Division Lemma?

Explanation opens after your attempt
Correct Answer

A. \(a=bq+r,\ 0 \le r < b\)

Step 1

Concept

The lemma uses dividend (a), divisor (b), quotient (q), and remainder (r).

Step 2

Why this answer is correct

The correct relation is (a=bq+r).

Step 3

Exam Tip

Do not forget the condition \(0 \le r < b\). चरण 1: प्रमेयिका में भाज्य (a), भाजक (b), भागफल (q) और शेषफल (r) होते हैं। चरण 2: सही संबंध (a=bq+r) है। चरण 3: साथ में \(0 \le r < b\) लिखना न भूलें।

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