Concept-wise Practice

not-rational MCQ Questions for Class 10

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Practice Questions

5 questions tagged with not-rational.

कौन सी संख्या परिमेय संख्या नहीं है?

Which number is not a rational number?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{34}\)

Step 1

Concept

\(\sqrt{34}\) cannot be written in \(\frac{p}{q}\) form. The other options are rational.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{34}\). \(\sqrt{34}\) cannot be written in \(\frac{p}{q}\) form. The other options are rational.

Step 3

Exam Tip

\(\sqrt{34}\) को \(\frac{p}{q}\) रूप में नहीं लिखा जा सकता। बाकी विकल्प परिमेय हैं।

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कौन सा विकल्प परिमेय संख्या नहीं है?

Which option is not a rational number?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{29}\)

Step 1

Concept

\(\sqrt{29}\) is irrational because (29) is not a perfect square. All others can be written in rational form.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{29}\). \(\sqrt{29}\) is irrational because (29) is not a perfect square. All others can be written in rational form.

Step 3

Exam Tip

\(\sqrt{29}\) अपरिमेय है क्योंकि (29) पूर्ण वर्ग नहीं है। बाकी सभी परिमेय रूप में लिखे जा सकते हैं।

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कौन सा विकल्प वास्तविक संख्या है लेकिन परिमेय नहीं है?

Which option is real but not rational?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{23}\)

Step 1

Concept

\(\sqrt{23}\) is real but irrational because (23) is not a perfect square. So it is not rational.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{23}\). \(\sqrt{23}\) is real but irrational because (23) is not a perfect square. So it is not rational.

Step 3

Exam Tip

\(\sqrt{23}\) वास्तविक है लेकिन अपरिमेय है क्योंकि (23) पूर्ण वर्ग नहीं है। इसलिए यह परिमेय नहीं है।

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निम्नलिखित में से कौन-सी संख्या परिमेय नहीं है?

Which of the following numbers is not rational?

Explanation opens after your attempt
Correct Answer

D. \(\sqrt{63}\)

Step 1

Concept

Terminating decimals, fractions, and recurring decimals are rational.

Step 2

Why this answer is correct

\(\sqrt{63}=3\sqrt{7}\), and \(\sqrt{7}\) is irrational.

Step 3

Exam Tip

Simplifying the square-root option is a good way to check it. चरण 1: समाप्त दशमलव, भिन्न और आवर्ती दशमलव परिमेय होते हैं। चरण 2: \(\sqrt{63}=3\sqrt{7}\), और \(\sqrt{7}\) अपरिमेय है। चरण 3: वर्गमूल वाले विकल्प को सरल करके जांचना अच्छा तरीका है।

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निम्नलिखित में से कौन-सी संख्या परिमेय नहीं है?

Which of the following numbers is not rational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{45}\)

Step 1

Concept

Terminating decimals, fractions, and recurring decimals are rational.

Step 2

Why this answer is correct

\(\sqrt{45}=3\sqrt{5}\), and \(\sqrt{5}\) is irrational.

Step 3

Exam Tip

Simplify the square root to identify its nature. चरण 1: समाप्त दशमलव, भिन्न और आवर्ती दशमलव परिमेय होते हैं। चरण 2: \(\sqrt{45}=3\sqrt{5}\), और \(\sqrt{5}\) अपरिमेय है। चरण 3: वर्गमूल को सरल करके उसकी प्रकृति पहचानें।

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