Hard Mathematics Chapter 1: Real Numbers Class 10 Level 13

यदि (91), (143) और (187) का महत्तम समापवर्तक (H) है, तो (H) का सही मान क्या होगा?

If (H) is the HCF of (91), (143), and (187), what is the correct value of (H)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

\(91=7\times13\), \(143=11\times13\), and \(187=11\times17\).

Step 2

Why this answer is correct

No prime factor is common to all three numbers, so the HCF is (1).

Step 3

Exam Tip

A factor common to only two numbers is not enough for the HCF of all three. चरण 1: \(91=7\times13\), \(143=11\times13\), \(187=11\times17\) है। चरण 2: कोई भी अभाज्य गुणनखंड तीनों संख्याओं में समान नहीं है, इसलिए महत्तम समापवर्तक (1) है। चरण 3: केवल दो संख्याओं में समान गुणनखंड दिखने से वह तीनों का महत्तम समापवर्तक नहीं बनता।

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. (1).

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