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rational vs irrational MCQ Questions for Class 10

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3 questions tagged with rational vs irrational.

Question 1/3 Easy Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

परिमेय संख्या के दशमलव प्रसार में कौन सी स्थिति नहीं हो सकती?

Which case cannot occur in the decimal expansion of a rational number?

Explanation opens after your attempt
Correct Answer

C. असमाप्त अनावर्तीNon-terminating non-recurring

Step 1

Concept

A rational number has a decimal that either terminates or recurs.

Step 2

Why this answer is correct

Non-terminating non-recurring decimal expansion is not possible for a rational number.

Step 3

Exam Tip

Exam tip: This difference helps identify rational and irrational numbers. चरण 1: परिमेय संख्या का दशमलव समाप्त या आवर्ती होता है। चरण 2: असमाप्त अनावर्ती दशमलव परिमेय संख्या के लिए संभव नहीं है। चरण 3: परीक्षा सुझाव: यह अंतर परिमेय और अपरिमेय संख्या को पहचानने में मदद करता है।

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Question 2/3 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 15

कौन सा विकल्प \(\sqrt{0.04}\) का सही प्रकार बताता है?

Which option correctly describes \(\sqrt{0.04}\)?

Explanation opens after your attempt
Correct Answer

B. परिमेय क्योंकि \(\sqrt{0.04}=0.2\)Rational because \(\sqrt{0.04}=0.2\)

Step 1

Concept

\(0.04=\frac{4}{100}\).

Step 2

Why this answer is correct

\(\sqrt{0.04}=\frac{2}{10}=0.2\) which is rational.

Step 3

Exam Tip

Every square root is not irrational. चरण 1: \(0.04=\frac{4}{100}\)। चरण 2: \(\sqrt{0.04}=\frac{2}{10}=0.2\) परिमेय है। चरण 3: हर वर्गमूल अपरिमेय नहीं होता।

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Question 3/3 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 15

कौन सा मान परिमेय है?

Which value is rational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{49}\)

Step 1

Concept

The square root of a perfect square is rational.

Step 2

Why this answer is correct

\(\sqrt{49}=7\) so it is rational.

Step 3

Exam Tip

First look for perfect-square factors inside the radical. चरण 1: पूर्ण वर्ग का वर्गमूल परिमेय होता है। चरण 2: \(\sqrt{49}=7\) है इसलिए यह परिमेय है। चरण 3: संख्या के अंदर पूर्ण वर्ग गुणनखंड देखकर सरल करें।

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