Concept-wise Practice

nonzero-rational MCQ Questions for Class 10

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Practice Questions

2 questions tagged with nonzero-rational.

यदि \(\sqrt{p}\) अपरिमेय है और (k) अशून्य परिमेय है, तो \(k\sqrt{p}\) कैसी संख्या होगी?

If \(\sqrt{p}\) is irrational and (k) is a non-zero rational number, what type of number is \(k\sqrt{p}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

A non-zero rational multiplier does not remove irrationality.

Step 2

Why this answer is correct

For example, \(4\sqrt{3}\) remains irrational.

Step 3

Exam Tip

The non-zero condition is important because multiplying by (0) gives (0). चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: जैसे \(4\sqrt{3}\) अपरिमेय रहता है। चरण 3: यहां अशून्य शर्त जरूरी है क्योंकि (0) से गुणा करने पर परिणाम (0) होगा।

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यदि (a) अपरिमेय है और (r) अशून्य परिमेय है, तो (ra) किस प्रकार की संख्या होगी?

If (a) is irrational and (r) is a non-zero rational number, what type of number is (ra)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

A non-zero rational multiplier does not remove irrationality.

Step 2

Why this answer is correct

For example, \(3\sqrt{2}\) is irrational.

Step 3

Exam Tip

The non-zero condition is important because multiplying by zero gives zero. चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: जैसे \(3\sqrt{2}\) अपरिमेय है। चरण 3: यहां अशून्य शर्त जरूरी है क्योंकि शून्य से गुणा करने पर परिणाम शून्य होगा।

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