Concept-wise Practice

composite-base MCQ Questions for Class 10

composite-base se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with composite-base.

Question 1/2 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 7

अभाज्य गुणनखंडन में \(18^2\times5\) को अंतिम रूप क्यों नहीं माना जाता?

Why is \(18^2\times5\) not considered the final form in prime factorisation?

Explanation opens after your attempt
Correct Answer

A. क्योंकि 18 संयुक्त संख्या हैBecause 18 is composite

Step 1

Concept

In the final prime factorisation, bases must be prime.

Step 2

Why this answer is correct

\(18=2\times3^2\), so \(18^2\) must be changed into \(2^2\times3^4\).

Step 3

Exam Tip

Do not leave a composite base in the final answer. चरण 1: अंतिम अभाज्य गुणनखंडन में आधार अभाज्य होने चाहिए। चरण 2: \(18=2\times3^2\), इसलिए \(18^2\) को \(2^2\times3^4\) में बदलना होगा। चरण 3: संयुक्त आधार को अंतिम उत्तर में न छोड़ें।

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Question 2/2 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

अभाज्य गुणनखंडन में \(36^2\times7\) को अंतिम रूप क्यों नहीं माना जाता?

Why is \(36^2\times7\) not considered the final form in prime factorisation?

Explanation opens after your attempt
Correct Answer

A. क्योंकि 36 संयुक्त संख्या हैBecause 36 is composite

Step 1

Concept

In final prime factorisation, the bases should be prime.

Step 2

Why this answer is correct

\(36=2^2\times3^2\), so \(36^2\) must be changed into \(2^4\times3^4\).

Step 3

Exam Tip

Do not keep a composite base like 36 in the final answer. चरण 1: अंतिम अभाज्य गुणनखंडन में आधार अभाज्य होने चाहिए। चरण 2: \(36=2^2\times3^2\), इसलिए \(36^2\) को \(2^4\times3^4\) में बदलना होगा। चरण 3: अंतिम उत्तर में 36 जैसा संयुक्त आधार न रखें।

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