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Mathematics Real Numbers MCQ Questions for Class 9

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

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Same chapter ke nearby topics ko revise jarur karein. Exam preparation ke liye yeh topics important hain. jisme niche ke ye 8 Topics hain.

8 topics
01 Practice Topic Rational numbers 51 MCQs 02 Practice Topic Exponents 600 MCQs 03 Practice Topic Number line 600 MCQs 04 Practice Topic Decimal representation 600 MCQs 05 Practice Topic Irrational numbers 600 MCQs 06 Practice Topic Proof of irrationality of square root 2 and square root 3 649 MCQs 07 Practice Topic Square root spiral 650 MCQs 08 Practice Topic General chapter practice 50 MCQs

Real Numbers Practice Questions

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Question 491/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{175}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{175}\)?

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Correct Answer

A. \(5\sqrt{7}\)

Explanation

Simple Explanation

\(175=25\times7\)। इसलिए \(\sqrt{175}=5\sqrt{7}\)। / \(175=25\times7\). Thus \(\sqrt{175}=5\sqrt{7}\).

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Question 492/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=15\) तो (x) क्या है?

If \(\sqrt{x}=15\) then what is (x)?

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Correct Answer

A. 225

Explanation

Simple Explanation

दोनों पक्षों का वर्ग करने पर (x=225)। यह मूल तकनीक है। / Squaring both sides gives (x=225). This is the basic technique.

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Question 493/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या अपरिमेय नहीं है?

Which number is not irrational?

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Correct Answer

C. \(\sqrt{81}\)

Explanation

Simple Explanation

\(\sqrt{81}=9\) परिमेय है। बाकी अपरिमेय हैं। / \(\sqrt{81}=9\) is rational. The others are irrational.

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Question 494/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{242}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{242}\)?

Explanation opens after your attempt
Correct Answer

A. \(11\sqrt{2}\)

Explanation

Simple Explanation

\(242=121\times2\)। इसलिए \(\sqrt{242}=11\sqrt{2}\)। / \(242=121\times2\). Therefore \(\sqrt{242}=11\sqrt{2}\).

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Question 495/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{3}\) तो \(x^2+x^2\) क्या होगा?

If \(x=\sqrt{3}\) then what is \(x^2+x^2\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(x^2=3\) इसलिए योग (3+3=6) है। / \(x^2=3\), so the sum is (3+3=6).

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Question 496/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प वास्तविक संख्या का उदाहरण है?

Which option is an example of a real number?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{100}\)

Explanation

Simple Explanation

\(\sqrt{100}=10\) वास्तविक है। ऋणात्मक के वर्गमूल वास्तविक नहीं होते। / \(\sqrt{100}=10\) is real. Square roots of negatives are not real.

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Question 497/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{48}+\sqrt{75}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{48}+\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

B. \(9\sqrt{3}\)

Explanation

Simple Explanation

\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\)। योग \(9\sqrt{3}\) है। / \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). Sum is \(9\sqrt{3}\).

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Question 498/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{7}+\sqrt{5}\) तो \(x^2\) का मान क्या है?

If \(x=\sqrt{7}+\sqrt{5}\) then what is the value of \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(12+2\sqrt{35}\)

Explanation

Simple Explanation

((a+b)2=a-2+b-2+2ab) का उपयोग करें। सूत्रों को सावधानी से लागू करें। / Use ((a+b)2=a-2+b-2+2ab). Apply identities carefully.

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Question 499/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\frac{\sqrt{180}}{\sqrt{5}}\) का मान क्या है?

What is the value of \(\frac{\sqrt{180}}{\sqrt{5}}\)?

Explanation opens after your attempt
Correct Answer

B. 6

Explanation

Simple Explanation

\(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\)। मूलों के भाग का नियम लगाएँ। / \(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\). Apply the quotient rule of radicals.

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Question 500/600 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{18}-\sqrt{8}\) तो (a) का सरल रूप क्या है?

If \(a=\sqrt{18}-\sqrt{8}\) then what is the simplified form of (a)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\)

Explanation

Simple Explanation

\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(\sqrt{2}\) है। / \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). The difference is \(\sqrt{2}\).

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