Expert Mathematics Chapter 1: Real Numbers Class 10 Level 12

दो संख्याओं का महत्तम समापवर्तक (84) और लघुत्तम समापवर्त्य (5460) है। दोनों संख्याएँ (84r) और (84s) मानी जाएँ, तो (rs) का मान क्या होगा?

The HCF of two numbers is (84) and their LCM is (5460). If the numbers are taken as (84r) and (84s), what is the value of (rs)?

Explanation opens after your attempt
Correct Answer

C. (65)

Step 1

Concept

After taking out HCF (84), (r) and (s) are coprime.

Step 2

Why this answer is correct

LCM (=84rs=5460), so (rs=65).

Step 3

Exam Tip

First divide the LCM by the HCF. चरण 1: महत्तम समापवर्तक (84) बाहर निकालने पर (r) और (s) सहाभाज्य होते हैं। चरण 2: लघुत्तम समापवर्त्य (84rs=5460), इसलिए (rs=65) है। चरण 3: पहले लघुत्तम समापवर्त्य को महत्तम समापवर्तक से भाग दें।

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