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irrational-definition MCQ Questions for Class 10

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Practice Questions

2 questions tagged with irrational-definition.

Question 1/2 Medium Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 13

निम्नलिखित में से कौन-सी संख्या \(\frac{p}{q}\) के रूप में नहीं लिखी जा सकती, जहाँ (p,q) पूर्णांक हैं और \(q\neq0\)?

Which of the following cannot be written in the form \(\frac{p}{q}\), where (p,q) are integers and \(q\neq0\)?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{18}\)

Step 1

Concept

Terminating decimals and fractions are rational.

Step 2

Why this answer is correct

\(\sqrt{18}=3\sqrt{2}\), and \(\sqrt{2}\) is irrational.

Step 3

Exam Tip

Simplifying a square root often helps identify the number correctly. चरण 1: समाप्त दशमलव और भिन्न परिमेय होते हैं। चरण 2: \(\sqrt{18}=3\sqrt{2}\), और \(\sqrt{2}\) अपरिमेय है। चरण 3: वर्गमूल को सरल करके देखना कई बार सही पहचान देता है।

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Question 2/2 Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 13

कौन-सा विकल्प अपरिमेय संख्या की सही पहचान बताता है?

Which option gives the correct identification of an irrational number?

Explanation opens after your attempt
Correct Answer

C. जिसका दशमलव अनवसानी और अनावर्ती होIts decimal is non-terminating and non-recurring

Step 1

Concept

The decimal of an irrational number does not terminate.

Step 2

Why this answer is correct

It also does not repeat in a fixed pattern.

Step 3

Exam Tip

Decimal expansion is a useful way to identify irrational numbers. चरण 1: अपरिमेय संख्या का दशमलव खत्म नहीं होता। चरण 2: उसमें कोई निश्चित दोहराव भी नहीं होता। चरण 3: दशमलव विस्तार देखकर अपरिमेय संख्या पहचानना आसान हो जाता है।

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