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coprime-numbers MCQ Questions for Class 10

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4 questions tagged with coprime-numbers.

Question 1/4 Expert Mathematics Real Numbers Prime factorisation Class 10 Level 7

यदि दो सहअभाज्य संख्याओं का गुणनफल \(2^4\times3^2\times5\) है, तो उनका महत्तम समापवर्तक क्या होगा?

If the product of two coprime numbers is \(2^4\times3^2\times5\), what is their HCF?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Coprime numbers do not have any common factor greater than (1).

Step 2

Why this answer is correct

Therefore, their HCF is always (1), even if their product is large.

Step 3

Exam Tip

When you see coprime, think about common factors first. चरण 1: सहअभाज्य संख्याओं में कोई भी (1) से बड़ा समान गुणनखंड नहीं होता। चरण 2: इसलिए उनका महत्तम समापवर्तक हमेशा (1) होता है, चाहे उनका गुणनफल कितना भी बड़ा हो। चरण 3: सहअभाज्य शब्द दिखे तो पहले समान गुणनखंड की बात सोचें।

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Question 2/4 Easy Mathematics Real Numbers Fundamental Theorem of Arithmetic Class 10 Level 6

निम्न में से कौन सा युग्म सह-अभाज्य है?

Which of the following pairs is co-prime?

Explanation opens after your attempt
Correct Answer

A. 25 और 3625 and 36

Step 1

Concept

\(25=5^2\) and \(36=2^2\times3^2\).

Step 2

Why this answer is correct

They have no common prime factor, so they are co-prime.

Step 3

Exam Tip

If a common prime factor appears, the pair is not co-prime. चरण 1: \(25=5^2\) और \(36=2^2\times3^2\) हैं। चरण 2: इनमें कोई समान अभाज्य गुणनखंड नहीं है, इसलिए ये सह-अभाज्य हैं। चरण 3: समान अभाज्य गुणनखंड मिलते ही युग्म सह-अभाज्य नहीं रहेगा।

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Question 3/4 Easy Mathematics Real Numbers Fundamental Theorem of Arithmetic Class 10 Level 5

निम्न में से कौन सा युग्म सह-अभाज्य है?

Which of the following pairs is co-prime?

Explanation opens after your attempt
Correct Answer

A. 9 और 169 and 16

Step 1

Concept

\(9=3^2\) and \(16=2^4\).

Step 2

Why this answer is correct

They have no common prime factor, so they are co-prime.

Step 3

Exam Tip

If a common prime factor is found, the pair is not co-prime. चरण 1: \(9=3^2\) और \(16=2^4\) हैं। चरण 2: इनमें कोई समान अभाज्य गुणनखंड नहीं है, इसलिए ये सह-अभाज्य हैं। चरण 3: समान अभाज्य गुणनखंड मिलने पर युग्म सह-अभाज्य नहीं रहता।

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Question 4/4 Easy Mathematics Real Numbers Fundamental Theorem of Arithmetic Class 10 Level 4

निम्न में से कौन सा युग्म सह-अभाज्य है?

Which of the following pairs is co-prime?

Explanation opens after your attempt
Correct Answer

A. 8 और 158 and 15

Step 1

Concept

Co-prime numbers have no common prime factor.

Step 2

Why this answer is correct

\(8=2^3\) and \(15=3\times5\), so they have no common prime factor.

Step 3

Exam Tip

If a common factor appears, the pair is not co-prime. चरण 1: सह-अभाज्य संख्याओं का कोई समान अभाज्य गुणनखंड नहीं होता। चरण 2: \(8=2^3\) और \(15=3\times5\), इनमें कोई समान अभाज्य गुणनखंड नहीं है। चरण 3: समान गुणनखंड मिलते ही युग्म सह-अभाज्य नहीं रहेगा।

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