Hard Mathematics Chapter 1: Real Numbers Class 10 Level 13

यदि \(176=2^4\times11\) और \(264=2^3\times3\times11\), तो इनके महत्तम समापवर्तक और लघुत्तम समापवर्त्य का योग क्या होगा?

If \(176=2^4\times11\) and \(264=2^3\times3\times11\), what is the sum of their HCF and LCM?

Explanation opens after your attempt
Correct Answer

B. (616)

Step 1

Concept

HCF \(=2^3\times11=88\).

Step 2

Why this answer is correct

LCM \(=2^4\times3\times11=528\), so the sum is (88+528=616).

Step 3

Exam Tip

When sum is asked, find both values separately. चरण 1: महत्तम समापवर्तक \(2^3\times11=88\) है। चरण 2: लघुत्तम समापवर्त्य \(2^4\times3\times11=528\) है, इसलिए योग (88+528=616) है। चरण 3: योग पूछे जाने पर दोनों मान अलग-अलग निकालें।

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