Concept-wise Practice

class 9 MCQ Questions for Class 9

class 9 se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

117 questions tagged with class 9.

\( \sqrt{147} \) को सरल करने पर क्या मिलेगा?

What is obtained by simplifying \( \sqrt{147} \)?

Explanation opens after your attempt
Correct Answer

B. \(7\sqrt{3}\)

Step 1

Concept

Since \(147=49\times3\), \( \sqrt{147}=7\sqrt{3} \). Taking out the perfect square is the main step.

Step 2

Why this answer is correct

The correct answer is B. \(7\sqrt{3}\). Since \(147=49\times3\), \( \sqrt{147}=7\sqrt{3} \). Taking out the perfect square is the main step.

Step 3

Exam Tip

\(147=49\times3\) इसलिए \( \sqrt{147}=7\sqrt{3} \)। पूर्ण वर्ग को बाहर निकालना मुख्य कदम है।

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\( \sqrt{144}-\sqrt{25} \) का मान क्या है?

What is the value of \( \sqrt{144}-\sqrt{25} \)?

Explanation opens after your attempt
Correct Answer

B. (7)

Step 1

Concept

\( \sqrt{144}=12 \) and \( \sqrt{25}=5 \). Therefore the difference is (7).

Step 2

Why this answer is correct

The correct answer is B. (7). \( \sqrt{144}=12 \) and \( \sqrt{25}=5 \). Therefore the difference is (7).

Step 3

Exam Tip

\( \sqrt{144}=12 \) और \( \sqrt{25}=5 \) है। इसलिए अंतर (7) है।

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( \(\sqrt{15}\)2 ) का मान क्या है?

What is the value of ( \(\sqrt{15}\)2 )?

Explanation opens after your attempt
Correct Answer

A. (15)

Step 1

Concept

The square of the square root of a positive number gives the same number. Therefore ( \(\sqrt{15}\)2=15 ).

Step 2

Why this answer is correct

The correct answer is A. (15). The square of the square root of a positive number gives the same number. Therefore ( \(\sqrt{15}\)2=15 ).

Step 3

Exam Tip

किसी धनात्मक संख्या के वर्गमूल का वर्ग वही संख्या देता है। इसलिए ( \(\sqrt{15}\)2=15 )।

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( \(7-\sqrt{3}\) ) किस प्रकार की संख्या है?

What type of number is ( \(7-\sqrt{3}\) )?

Explanation opens after your attempt
Correct Answer

A. अपरिमेय वास्तविक संख्याIrrational real number

Step 1

Concept

Subtracting an irrational number from a rational number gives an irrational result. Thus \(7-\sqrt{3}\) is an irrational real number.

Step 2

Why this answer is correct

The correct answer is A. अपरिमेय वास्तविक संख्या / Irrational real number. Subtracting an irrational number from a rational number gives an irrational result. Thus \(7-\sqrt{3}\) is an irrational real number.

Step 3

Exam Tip

परिमेय संख्या से अपरिमेय संख्या घटाने पर परिणाम अपरिमेय होता है। इसलिए \(7-\sqrt{3}\) अपरिमेय वास्तविक संख्या है।

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\( \sqrt{\frac{121}{144}} \) किसके बराबर है?

What is \( \sqrt{\frac{121}{144}} \) equal to?

Explanation opens after your attempt
Correct Answer

A. \( \frac{11}{12} \)

Step 1

Concept

\( \sqrt{121}=11 \) and \( \sqrt{144}=12 \). Therefore the answer is \( \frac{11}{12} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{11}{12} \). \( \sqrt{121}=11 \) and \( \sqrt{144}=12 \). Therefore the answer is \( \frac{11}{12} \).

Step 3

Exam Tip

\( \sqrt{121}=11 \) और \( \sqrt{144}=12 \) है। इसलिए उत्तर \( \frac{11}{12} \) है।

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\( \sqrt{1.44} \) का मान क्या है?

What is the value of \( \sqrt{1.44} \)?

Explanation opens after your attempt
Correct Answer

C. (1.2)

Step 1

Concept

\(1.2^2=1.44\), so \( \sqrt{1.44}=1.2 \). Be careful with place value in decimal square roots.

Step 2

Why this answer is correct

The correct answer is C. (1.2). \(1.2^2=1.44\), so \( \sqrt{1.44}=1.2 \). Be careful with place value in decimal square roots.

Step 3

Exam Tip

\(1.2^2=1.44\) इसलिए \( \sqrt{1.44}=1.2 \)। दशमलव वर्गमूल में स्थान मान ध्यान रखें।

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\( \sqrt{75}-\sqrt{12} \) का सरल रूप क्या है?

What is the simplified form of \( \sqrt{75}-\sqrt{12} \)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{3}\)

Step 1

Concept

\( \sqrt{75}=5\sqrt{3} \) and \( \sqrt{12}=2\sqrt{3} \). The difference is \(3\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(3\sqrt{3}\). \( \sqrt{75}=5\sqrt{3} \) and \( \sqrt{12}=2\sqrt{3} \). The difference is \(3\sqrt{3}\).

Step 3

Exam Tip

\( \sqrt{75}=5\sqrt{3} \) और \( \sqrt{12}=2\sqrt{3} \) हैं। अंतर \(3\sqrt{3}\) है।

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\( \sqrt{72} \) को सरल करने पर क्या मिलेगा?

What is obtained by simplifying \( \sqrt{72} \)?

Explanation opens after your attempt
Correct Answer

B. \(6\sqrt{2}\)

Step 1

Concept

Since \(72=36\times2\), \( \sqrt{72}=6\sqrt{2} \). Take the perfect square outside the square root.

Step 2

Why this answer is correct

The correct answer is B. \(6\sqrt{2}\). Since \(72=36\times2\), \( \sqrt{72}=6\sqrt{2} \). Take the perfect square outside the square root.

Step 3

Exam Tip

\(72=36\times2\) इसलिए \( \sqrt{72}=6\sqrt{2} \)। पूर्ण वर्ग को वर्गमूल से बाहर निकालें।

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( \(5-\sqrt{2}\) ) किस प्रकार की संख्या है?

What type of number is ( \(5-\sqrt{2}\) )?

Explanation opens after your attempt
Correct Answer

A. अपरिमेय वास्तविक संख्याIrrational real number

Step 1

Concept

Subtracting an irrational number from a rational number gives an irrational result. Thus \(5-\sqrt{2}\) is an irrational real number.

Step 2

Why this answer is correct

The correct answer is A. अपरिमेय वास्तविक संख्या / Irrational real number. Subtracting an irrational number from a rational number gives an irrational result. Thus \(5-\sqrt{2}\) is an irrational real number.

Step 3

Exam Tip

परिमेय संख्या में अपरिमेय संख्या घटाने पर परिणाम अपरिमेय होता है। इसलिए \(5-\sqrt{2}\) अपरिमेय वास्तविक संख्या है।

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\( \sqrt{\frac{49}{64}} \) का मान क्या है?

What is the value of \( \sqrt{\frac{49}{64}} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{7}{8} \)

Step 1

Concept

Take square roots of numerator and denominator separately. \( \sqrt{\frac{49}{64}}=\frac{7}{8} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{7}{8} \). Take square roots of numerator and denominator separately. \( \sqrt{\frac{49}{64}}=\frac{7}{8} \).

Step 3

Exam Tip

अंश और हर के अलग-अलग वर्गमूल लें। \( \sqrt{\frac{49}{64}}=\frac{7}{8} \)।

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\( \sqrt{0.04} \) का मान क्या है?

What is the value of \( \sqrt{0.04} \)?

Explanation opens after your attempt
Correct Answer

B. (0.2)

Step 1

Concept

\(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.

Step 2

Why this answer is correct

The correct answer is B. (0.2). \(0.2^2=0.04\), so \( \sqrt{0.04}=0.2 \). Be careful with place value in decimal square roots.

Step 3

Exam Tip

\(0.2^2=0.04\) इसलिए \( \sqrt{0.04}=0.2 \)। दशमलव के वर्गमूल में स्थान मान ध्यान रखें।

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(2.75) किस भिन्न के बराबर है?

Which fraction is equal to (2.75)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{11}{4} \)

Step 1

Concept

\(2.75=\frac{275}{100}=\frac{11}{4} \). Convert the decimal into a fraction and simplify.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{11}{4} \). \(2.75=\frac{275}{100}=\frac{11}{4} \). Convert the decimal into a fraction and simplify.

Step 3

Exam Tip

\(2.75=\frac{275}{100}=\frac{11}{4} \)। दशमलव को भिन्न में बदलकर सरल करें।

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\( \sqrt{5} \) का वर्ग क्या है?

What is the square of \( \sqrt{5} \)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

( \(\sqrt{5}\)2=5 ). The square of the square root of a positive number gives the same number.

Step 2

Why this answer is correct

The correct answer is C. (5). ( \(\sqrt{5}\)2=5 ). The square of the square root of a positive number gives the same number.

Step 3

Exam Tip

( \(\sqrt{5}\)2=5 ) होता है। किसी धनात्मक संख्या के वर्गमूल का वर्ग वही संख्या देता है।

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\( \sqrt{48}\div\sqrt{3} \) का मान क्या है?

What is the value of \( \sqrt{48}\div\sqrt{3} \)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\( \frac{\sqrt{48}}{\sqrt{3}}=\sqrt{16}=4 \). In division of square roots, divide the numbers inside.

Step 2

Why this answer is correct

The correct answer is B. (4). \( \frac{\sqrt{48}}{\sqrt{3}}=\sqrt{16}=4 \). In division of square roots, divide the numbers inside.

Step 3

Exam Tip

\( \frac{\sqrt{48}}{\sqrt{3}}=\sqrt{16}=4 \)। वर्गमूल के भाग में अंदर की संख्याओं का भाग लें।

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\( \sqrt{45} \) को सरल करने पर क्या मिलेगा?

What is obtained by simplifying \( \sqrt{45} \)?

Explanation opens after your attempt
Correct Answer

A. \(3\sqrt{5}\)

Step 1

Concept

Since \(45=9\times5\), \( \sqrt{45}=3\sqrt{5} \). Take the perfect square outside the square root.

Step 2

Why this answer is correct

The correct answer is A. \(3\sqrt{5}\). Since \(45=9\times5\), \( \sqrt{45}=3\sqrt{5} \). Take the perfect square outside the square root.

Step 3

Exam Tip

\(45=9\times5\) इसलिए \( \sqrt{45}=3\sqrt{5} \)। वर्गमूल में पूर्ण वर्ग को बाहर निकालें।

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कौन सी संख्या परिमेय और वास्तविक दोनों है?

Which number is both rational and real?

Explanation opens after your attempt
Correct Answer

B. \( \frac{-11}{6} \)

Step 1

Concept

\( \frac{-11}{6} \) is a ratio of two integers with non-zero denominator. So it is a rational real number.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{-11}{6} \). \( \frac{-11}{6} \) is a ratio of two integers with non-zero denominator. So it is a rational real number.

Step 3

Exam Tip

\( \frac{-11}{6} \) दो पूर्णांकों का अनुपात है और हर शून्य नहीं है। इसलिए यह परिमेय वास्तविक संख्या है।

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वास्तविक संख्या रेखा पर हर बिंदु किसे दर्शाता है?

Every point on the real number line represents what?

Explanation opens after your attempt
Correct Answer

A. एक वास्तविक संख्याA real number

Step 1

Concept

Each point on the real number line represents a real number. Understanding the number line helps in comparison.

Step 2

Why this answer is correct

The correct answer is A. एक वास्तविक संख्या / A real number. Each point on the real number line represents a real number. Understanding the number line helps in comparison.

Step 3

Exam Tip

वास्तविक संख्या रेखा का प्रत्येक बिंदु एक वास्तविक संख्या को दर्शाता है। संख्या रेखा समझना तुलना में मदद करता है।

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वास्तविक संख्या रेखा पर \( \sqrt{0} \) कहाँ स्थित है?

Where is \( \sqrt{0} \) located on the real number line?

Explanation opens after your attempt
Correct Answer

A. (0) परAt (0)

Step 1

Concept

\( \sqrt{0}=0 \). Therefore it is located at the origin on the number line.

Step 2

Why this answer is correct

The correct answer is A. (0) पर / At (0). \( \sqrt{0}=0 \). Therefore it is located at the origin on the number line.

Step 3

Exam Tip

\( \sqrt{0}=0 \) होता है। इसलिए यह संख्या रेखा पर मूल बिंदु पर स्थित है।

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\(3+\sqrt{2}\) किस प्रकार की संख्या है?

What type of number is \(3+\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय वास्तविक संख्याIrrational real number

Step 1

Concept

Adding the irrational \( \sqrt{2} \) to the rational number (3) generally gives an irrational number. It is also real.

Step 2

Why this answer is correct

The correct answer is B. अपरिमेय वास्तविक संख्या / Irrational real number. Adding the irrational \( \sqrt{2} \) to the rational number (3) generally gives an irrational number. It is also real.

Step 3

Exam Tip

परिमेय संख्या (3) में अपरिमेय \( \sqrt{2} \) जोड़ने पर सामान्यतः अपरिमेय संख्या मिलती है। यह वास्तविक संख्या भी है।

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\( \sqrt{5} \) और \( \sqrt{6} \) में कौन बड़ी है?

Which is greater between \( \sqrt{5} \) and \( \sqrt{6} \)?

Explanation opens after your attempt
Correct Answer

B. \( \sqrt{6} \)

Step 1

Concept

For positive numbers, the square root of the greater number is also greater. Since (6>5), \( \sqrt{6}>\sqrt{5} \).

Step 2

Why this answer is correct

The correct answer is B. \( \sqrt{6} \). For positive numbers, the square root of the greater number is also greater. Since (6>5), \( \sqrt{6}>\sqrt{5} \).

Step 3

Exam Tip

धनात्मक संख्याओं में बड़ी संख्या का वर्गमूल भी बड़ा होता है। (6>5) इसलिए \( \sqrt{6}>\sqrt{5} \)।

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किस विकल्प में एक परिमेय और एक अपरिमेय वास्तविक संख्या है?

Which option has one rational and one irrational real number?

Explanation opens after your attempt
Correct Answer

A. (5) और \( \sqrt{2} \)(5) and \( \sqrt{2} \)

Step 1

Concept

(5) is rational and \( \sqrt{2} \) is irrational. Both lie on the real number line.

Step 2

Why this answer is correct

The correct answer is A. (5) और \( \sqrt{2} \) / (5) and \( \sqrt{2} \). (5) is rational and \( \sqrt{2} \) is irrational. Both lie on the real number line.

Step 3

Exam Tip

(5) परिमेय है और \( \sqrt{2} \) अपरिमेय है। दोनों वास्तविक संख्या रेखा पर स्थित हैं।

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\( \sqrt{12} \) का सरल रूप क्या है?

What is the simplified form of \( \sqrt{12} \)?

Explanation opens after your attempt
Correct Answer

B. \(2\sqrt{3}\)

Step 1

Concept

Since \(12=4\times3\), \( \sqrt{12}=2\sqrt{3} \). Take the perfect-square factor outside the square root.

Step 2

Why this answer is correct

The correct answer is B. \(2\sqrt{3}\). Since \(12=4\times3\), \( \sqrt{12}=2\sqrt{3} \). Take the perfect-square factor outside the square root.

Step 3

Exam Tip

\(12=4\times3\) इसलिए \( \sqrt{12}=2\sqrt{3} \)। पूर्ण वर्ग गुणनखंड को वर्गमूल से बाहर निकालें।

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\( \sqrt{121} \) का मान क्या है?

What is the value of \( \sqrt{121} \)?

Explanation opens after your attempt
Correct Answer

B. (11)

Step 1

Concept

Since \(11^2=121\), \( \sqrt{121}=11 \). Remembering perfect squares is useful.

Step 2

Why this answer is correct

The correct answer is B. (11). Since \(11^2=121\), \( \sqrt{121}=11 \). Remembering perfect squares is useful.

Step 3

Exam Tip

\(11^2=121\) इसलिए \( \sqrt{121}=11 \)। पूर्ण वर्गों की सूची याद रखना उपयोगी है।

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कौन सा विकल्प सही क्रम दिखाता है?

Which option shows the correct order?

Explanation opens after your attempt
Correct Answer

A. ( -3<-1<2 )

Step 1

Concept

On the number line, the left number is smaller and the right number is greater. Therefore ( -3<-1<2 ) is correct.

Step 2

Why this answer is correct

The correct answer is A. ( -3<-1<2 ). On the number line, the left number is smaller and the right number is greater. Therefore ( -3<-1<2 ) is correct.

Step 3

Exam Tip

संख्या रेखा पर बाईं संख्या छोटी और दाईं संख्या बड़ी होती है। इसलिए ( -3<-1<2 ) सही है।

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कौन सी वास्तविक संख्या न धनात्मक है न ऋणात्मक?

Which real number is neither positive nor negative?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(0) is neither positive nor negative. Keep (0) separate in number classification.

Step 2

Why this answer is correct

The correct answer is A. (0). (0) is neither positive nor negative. Keep (0) separate in number classification.

Step 3

Exam Tip

(0) न धनात्मक होता है न ऋणात्मक। संख्या वर्गीकरण में (0) को अलग रखें।

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\( \frac{4}{7} \) का गुणात्मक प्रतिलोम क्या है?

What is the multiplicative inverse of \( \frac{4}{7} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{7}{4} \)

Step 1

Concept

In the multiplicative inverse, numerator and denominator are interchanged. \( \frac{4}{7}\times\frac{7}{4}=1 \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{7}{4} \). In the multiplicative inverse, numerator and denominator are interchanged. \( \frac{4}{7}\times\frac{7}{4}=1 \).

Step 3

Exam Tip

गुणात्मक प्रतिलोम में अंश और हर बदल जाते हैं। \( \frac{4}{7}\times\frac{7}{4}=1 \)।

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( -9 ) का योज्य प्रतिलोम क्या है?

What is the additive inverse of ( -9 )?

Explanation opens after your attempt
Correct Answer

D. (9)

Step 1

Concept

The additive inverse gives (0) when added. Since ( -9+9=0 ), the answer is (9).

Step 2

Why this answer is correct

The correct answer is D. (9). The additive inverse gives (0) when added. Since ( -9+9=0 ), the answer is (9).

Step 3

Exam Tip

योज्य प्रतिलोम जोड़ने पर (0) देता है। ( -9+9=0 ) इसलिए उत्तर (9) है।

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वास्तविक संख्याओं में गुणन का तत्समक अवयव कौन सा है?

What is the multiplicative identity in real numbers?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

Multiplying any real number by (1) gives the same number. Hence (1) is the multiplicative identity.

Step 2

Why this answer is correct

The correct answer is B. (1). Multiplying any real number by (1) gives the same number. Hence (1) is the multiplicative identity.

Step 3

Exam Tip

किसी भी वास्तविक संख्या को (1) से गुणा करने पर वही संख्या मिलती है। इसलिए (1) गुणन का तत्समक अवयव है।

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वास्तविक संख्याओं में योग का तत्समक अवयव कौन सा है?

What is the additive identity in real numbers?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

Adding (0) to any real number gives the same number. Hence (0) is the additive identity.

Step 2

Why this answer is correct

The correct answer is C. (0). Adding (0) to any real number gives the same number. Hence (0) is the additive identity.

Step 3

Exam Tip

किसी भी वास्तविक संख्या में (0) जोड़ने पर वही संख्या मिलती है। इसलिए (0) योग का तत्समक अवयव है।

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\( \frac{3}{2} \) और \( \sqrt{2} \) में कौन बड़ी है?

Which is greater between \( \frac{3}{2} \) and \( \sqrt{2} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{3}{2} \)

Step 1

Concept

\( \frac{3}{2}=1.5 \) and \( \sqrt{2}\approx1.414 \). Therefore \( \frac{3}{2} \) is greater.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{3}{2} \). \( \frac{3}{2}=1.5 \) and \( \sqrt{2}\approx1.414 \). Therefore \( \frac{3}{2} \) is greater.

Step 3

Exam Tip

\( \frac{3}{2}=1.5 \) और \( \sqrt{2}\approx1.414 \) है। इसलिए \( \frac{3}{2} \) बड़ी है।

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Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.