Class 9 Mathematics - Number Systems - Real Numbers Easy Quiz

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यदि (x=3) हो तो (2x+5) का मान क्या होगा?

If (x=3), what is the value of (2x+5)?

Explanation opens after your attempt
Correct Answer

B. (11)

Step 1

Concept

Substituting (3) for (x) gives \(2\times3+5=11\). Exam tip: substitute first and then calculate.

Step 2

Why this answer is correct

The correct answer is B. (11). Substituting (3) for (x) gives \(2\times3+5=11\). Exam tip: substitute first and then calculate.

Step 3

Exam Tip

(x) के स्थान पर (3) रखने पर \(2\times3+5=11\) मिलता है। परीक्षा में पहले प्रतिस्थापन करें फिर गणना करें।

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कौन सी संख्या परिमेय संख्या कहलाती है?

Which number is called a rational number?

Explanation opens after your attempt
Correct Answer

A. जिसे \( \frac{p}{q} \) के रूप में लिखा जा सके जहाँ \(q \neq 0\)Can be written as \( \frac{p}{q} \) where \(q \neq 0\)

Step 1

Concept

A rational number can be written as \( \frac{p}{q} \) where the denominator is not zero. Always check the denominator in exams.

Step 2

Why this answer is correct

The correct answer is A. जिसे \( \frac{p}{q} \) के रूप में लिखा जा सके जहाँ \(q \neq 0\) / Can be written as \( \frac{p}{q} \) where \(q \neq 0\). A rational number can be written as \( \frac{p}{q} \) where the denominator is not zero. Always check the denominator in exams.

Step 3

Exam Tip

परिमेय संख्या \( \frac{p}{q} \) के रूप में लिखी जाती है जहाँ हर शून्य नहीं होता। परीक्षा में हर को हमेशा जाँचें।

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\( \frac{3}{5} \) किस प्रकार की संख्या है?

What type of number is \( \frac{3}{5} \)?

Explanation opens after your attempt
Correct Answer

B. परिमेय संख्याRational number

Step 1

Concept

In \( \frac{3}{5} \), numerator and denominator are integers and the denominator is not zero. So it is rational.

Step 2

Why this answer is correct

The correct answer is B. परिमेय संख्या / Rational number. In \( \frac{3}{5} \), numerator and denominator are integers and the denominator is not zero. So it is rational.

Step 3

Exam Tip

\( \frac{3}{5} \) में अंश और हर पूर्णांक हैं तथा हर शून्य नहीं है। इसलिए यह परिमेय संख्या है।

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इनमें से कौन सी संख्या परिमेय है?

Which of the following numbers is rational?

Explanation opens after your attempt
Correct Answer

C. \( \frac{-7}{4} \)

Step 1

Concept

\( \frac{-7}{4} \) is a ratio of two integers with non-zero denominator. The given square-root numbers are not in simple rational form.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{-7}{4} \). \( \frac{-7}{4} \) is a ratio of two integers with non-zero denominator. The given square-root numbers are not in simple rational form.

Step 3

Exam Tip

\( \frac{-7}{4} \) दो पूर्णांकों का अनुपात है और हर शून्य नहीं है। वर्गमूल वाली दी गई संख्याएँ सरल परिमेय रूप में नहीं हैं।

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किस विकल्प में (0) को परिमेय संख्या के रूप में सही लिखा गया है?

Which option correctly writes (0) as a rational number?

Explanation opens after your attempt
Correct Answer

A. \( \frac{0}{5} \)

Step 1

Concept

(0) can be written as \( \frac{0}{q} \) where \(q \neq 0\). Never put zero in the denominator.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{0}{5} \). (0) can be written as \( \frac{0}{q} \) where \(q \neq 0\). Never put zero in the denominator.

Step 3

Exam Tip

(0) को \( \frac{0}{q} \) लिखा जा सकता है जहाँ \(q \neq 0\)। हर में शून्य कभी न रखें।

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\( \frac{6}{8} \) का सरलतम रूप क्या है?

What is the simplest form of \( \frac{6}{8} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{3}{4} \)

Step 1

Concept

Dividing both (6) and (8) by (2) gives \( \frac{3}{4} \). Remove common factors for simplest form.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{3}{4} \). Dividing both (6) and (8) by (2) gives \( \frac{3}{4} \). Remove common factors for simplest form.

Step 3

Exam Tip

(6) और (8) दोनों को (2) से भाग देने पर \( \frac{3}{4} \) मिलता है। सरलतम रूप में समान गुणनखंड हटाएँ।

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\( \frac{-9}{12} \) का मानक रूप क्या है?

What is the standard form of \( \frac{-9}{12} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{-3}{4} \)

Step 1

Concept

In standard form the denominator is positive and numerator and denominator are coprime. \( \frac{-9}{12}=\frac{-3}{4} \) is correct.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{-3}{4} \). In standard form the denominator is positive and numerator and denominator are coprime. \( \frac{-9}{12}=\frac{-3}{4} \) is correct.

Step 3

Exam Tip

मानक रूप में हर धनात्मक और अंश-हर सहाभाज्य होते हैं। \( \frac{-9}{12}=\frac{-3}{4} \) सही है।

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\( \frac{2}{3} \) के तुल्य कौन सा भिन्न है?

Which fraction is equivalent to \( \frac{2}{3} \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{8}{12} \)

Step 1

Concept

Multiplying \( \frac{2}{3} \) by (4) gives \( \frac{8}{12} \). For equivalent fractions multiply numerator and denominator by the same number.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{8}{12} \). Multiplying \( \frac{2}{3} \) by (4) gives \( \frac{8}{12} \). For equivalent fractions multiply numerator and denominator by the same number.

Step 3

Exam Tip

\( \frac{2}{3} \) को (4) से गुणा करने पर \( \frac{8}{12} \) मिलता है। तुल्य भिन्न में अंश और हर को समान संख्या से गुणा करें।

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\( \frac{5}{7} \) का योज्य प्रतिलोम क्या है?

What is the additive inverse of \( \frac{5}{7} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{-5}{7} \)

Step 1

Concept

The additive inverse has the same value with the opposite sign. Their sum is (0).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{-5}{7} \). The additive inverse has the same value with the opposite sign. Their sum is (0).

Step 3

Exam Tip

किसी संख्या का योज्य प्रतिलोम वही संख्या विपरीत चिह्न के साथ होता है। दोनों का योग (0) होता है।

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\( \frac{-4}{9} \) का गुणात्मक प्रतिलोम क्या है?

What is the multiplicative inverse of \( \frac{-4}{9} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{-9}{4} \)

Step 1

Concept

In the multiplicative inverse numerator and denominator are interchanged and the sign remains. The product should be (1).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{-9}{4} \). In the multiplicative inverse numerator and denominator are interchanged and the sign remains. The product should be (1).

Step 3

Exam Tip

गुणात्मक प्रतिलोम में अंश और हर बदल जाते हैं और चिह्न वही रहता है। गुणनफल (1) होना चाहिए।

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\( \frac{1}{2}+\frac{1}{3} \) का मान क्या है?

What is the value of \( \frac{1}{2}+\frac{1}{3} \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{5}{6} \)

Step 1

Concept

Taking common denominator (6), \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \). Use LCM while adding fractions.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{5}{6} \). Taking common denominator (6), \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \). Use LCM while adding fractions.

Step 3

Exam Tip

समान हर (6) लेने पर \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \) मिलता है। भिन्न जोड़ते समय लघुत्तम समापवर्त्य लें।

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\( \frac{7}{10}-\frac{2}{10} \) का मान क्या है?

What is the value of \( \frac{7}{10}-\frac{2}{10} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{5}{10} \)

Step 1

Concept

The denominators are same, so subtract the numerators. \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{5}{10} \). The denominators are same, so subtract the numerators. \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \).

Step 3

Exam Tip

हर समान है इसलिए अंश घटाएँ। \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \)।

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\( \frac{3}{4}\times\frac{2}{5} \) का मान क्या है?

What is the value of \( \frac{3}{4}\times\frac{2}{5} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{3}{10} \)

Step 1

Concept

Multiply numerators and denominators separately. \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{3}{10} \). Multiply numerators and denominators separately. \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \).

Step 3

Exam Tip

अंशों और हरों को अलग-अलग गुणा करें। \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \)।

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\( \frac{5}{6}\div\frac{10}{3} \) का मान क्या है?

What is the value of \( \frac{5}{6}\div\frac{10}{3} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{1}{4} \)

Step 1

Concept

Change division into multiplication by the reciprocal of the second fraction. \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{1}{4} \). Change division into multiplication by the reciprocal of the second fraction. \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \).

Step 3

Exam Tip

भाग को दूसरे भिन्न के प्रतिलोम से गुणा में बदलें। \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \)।

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\( \frac{4}{9} \) और \( \frac{5}{9} \) में कौन बड़ी संख्या है?

Which is greater between \( \frac{4}{9} \) and \( \frac{5}{9} \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{5}{9} \)

Step 1

Concept

The denominators are same, so the fraction with greater numerator is greater. Here (5) is greater.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{5}{9} \). The denominators are same, so the fraction with greater numerator is greater. Here (5) is greater.

Step 3

Exam Tip

हर समान है इसलिए बड़े अंश वाला भिन्न बड़ा होगा। यहाँ (5) बड़ा है।

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\( \frac{3}{8} \) और \( \frac{1}{2} \) में कौन छोटी संख्या है?

Which is smaller between \( \frac{3}{8} \) and \( \frac{1}{2} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{3}{8} \)

Step 1

Concept

\( \frac{1}{2}=\frac{4}{8} \), so \( \frac{3}{8} \) is smaller. Making common denominators helps in comparison.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{3}{8} \). \( \frac{1}{2}=\frac{4}{8} \), so \( \frac{3}{8} \) is smaller. Making common denominators helps in comparison.

Step 3

Exam Tip

\( \frac{1}{2}=\frac{4}{8} \) है इसलिए \( \frac{3}{8} \) छोटी है। तुलना के लिए समान हर बनाना उपयोगी है।

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\( \frac{-2}{5} \) और \( \frac{1}{5} \) के बीच कौन सी संख्या आती है?

Which number lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{-1}{5} \)

Step 1

Concept

\( \frac{-1}{5} \) lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \) on the number line. Be careful with the direction of negative numbers.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{-1}{5} \). \( \frac{-1}{5} \) lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \) on the number line. Be careful with the direction of negative numbers.

Step 3

Exam Tip

\( \frac{-1}{5} \) संख्या रेखा पर \( \frac{-2}{5} \) और \( \frac{1}{5} \) के बीच है। ऋणात्मक संख्याओं की दिशा ध्यान रखें।

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\( \frac{1}{4} \) और \( \frac{3}{4} \) के बीच एक परिमेय संख्या कौन सी है?

Which is a rational number between \( \frac{1}{4} \) and \( \frac{3}{4} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{1}{2} \)

Step 1

Concept

\( \frac{1}{2}=\frac{2}{4} \), which lies between \( \frac{1}{4} \) and \( \frac{3}{4} \). Use common denominators to find a middle number.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{1}{2} \). \( \frac{1}{2}=\frac{2}{4} \), which lies between \( \frac{1}{4} \) and \( \frac{3}{4} \). Use common denominators to find a middle number.

Step 3

Exam Tip

\( \frac{1}{2}=\frac{2}{4} \) है जो \( \frac{1}{4} \) और \( \frac{3}{4} \) के बीच है। बीच की संख्या के लिए समान हर बनाइए।

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किस विकल्प में हर शून्य होने के कारण संख्या परिभाषित नहीं है?

Which option is undefined because the denominator is zero?

Explanation opens after your attempt
Correct Answer

D. \( \frac{4}{0} \)

Step 1

Concept

A fraction is undefined when the denominator is zero. In a rational number the denominator must always be non-zero.

Step 2

Why this answer is correct

The correct answer is D. \( \frac{4}{0} \). A fraction is undefined when the denominator is zero. In a rational number the denominator must always be non-zero.

Step 3

Exam Tip

हर शून्य होने पर भिन्न परिभाषित नहीं होती। परिमेय संख्या में हर हमेशा शून्य से अलग होना चाहिए।

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( -6 ) को परिमेय संख्या के रूप में कैसे लिखा जा सकता है?

How can ( -6 ) be written as a rational number?

Explanation opens after your attempt
Correct Answer

A. \( \frac{-6}{1} \)

Step 1

Concept

Any integer can be written as a rational number by taking denominator (1). Therefore \( -6=\frac{-6}{1} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{-6}{1} \). Any integer can be written as a rational number by taking denominator (1). Therefore \( -6=\frac{-6}{1} \).

Step 3

Exam Tip

हर (1) लेकर किसी भी पूर्णांक को परिमेय संख्या लिखा जा सकता है। इसलिए \( -6=\frac{-6}{1} \)।

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निम्न में से कौन सा कथन सही है?

Which of the following statements is correct?

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Correct Answer

A. हर पूर्णांक परिमेय संख्या हैEvery integer is a rational number

Step 1

Concept

Every integer can be written as \( \frac{p}{1} \). Hence every integer is rational.

Step 2

Why this answer is correct

The correct answer is A. हर पूर्णांक परिमेय संख्या है / Every integer is a rational number. Every integer can be written as \( \frac{p}{1} \). Hence every integer is rational.

Step 3

Exam Tip

हर पूर्णांक \( \frac{p}{1} \) के रूप में लिखा जा सकता है। इसलिए हर पूर्णांक परिमेय है।

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(0.75) को भिन्न रूप में क्या लिखा जाएगा?

What is (0.75) in fraction form?

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Correct Answer

A. \( \frac{3}{4} \)

Step 1

Concept

\(0.75=\frac{75}{100}=\frac{3}{4} \). Terminating decimals are always rational.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{3}{4} \). \(0.75=\frac{75}{100}=\frac{3}{4} \). Terminating decimals are always rational.

Step 3

Exam Tip

\(0.75=\frac{75}{100}=\frac{3}{4} \) है। समाप्त दशमलव हमेशा परिमेय होते हैं।

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(0.2) का परिमेय रूप क्या है?

What is the rational form of (0.2)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{1}{5} \)

Step 1

Concept

\(0.2=\frac{2}{10}=\frac{1}{5} \). Convert decimals using denominators that are powers of (10).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{1}{5} \). \(0.2=\frac{2}{10}=\frac{1}{5} \). Convert decimals using denominators that are powers of (10).

Step 3

Exam Tip

\(0.2=\frac{2}{10}=\frac{1}{5} \) है। दशमलव को (10) की घात वाले हर में बदलें।

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कौन सा दशमलव परिमेय संख्या को दर्शाता है?

Which decimal represents a rational number?

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Correct Answer

B. समाप्त दशमलवTerminating decimal

Step 1

Concept

A terminating decimal can be converted into a fraction. Therefore it is a rational number.

Step 2

Why this answer is correct

The correct answer is B. समाप्त दशमलव / Terminating decimal. A terminating decimal can be converted into a fraction. Therefore it is a rational number.

Step 3

Exam Tip

समाप्त दशमलव को भिन्न में बदला जा सकता है। इसलिए वह परिमेय संख्या है।

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\(0.\overline{3}\) का भिन्न रूप क्या है?

What is the fraction form of \(0.\overline{3}\)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{1}{3} \)

Step 1

Concept

\(0.\overline{3}\) is a repeating decimal and equals \( \frac{1}{3} \). Repeating decimals are rational.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{1}{3} \). \(0.\overline{3}\) is a repeating decimal and equals \( \frac{1}{3} \). Repeating decimals are rational.

Step 3

Exam Tip

\(0.\overline{3}\) आवर्ती दशमलव है और इसका मान \( \frac{1}{3} \) है। आवर्ती दशमलव परिमेय होते हैं।

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किस प्रकार का दशमलव परिमेय संख्या नहीं होता?

Which type of decimal is not a rational number?

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Correct Answer

C. असमाप्त और अनावर्ती दशमलवNon-terminating non-repeating decimal

Step 1

Concept

A non-terminating non-repeating decimal is not rational. Identify the decimal pattern in exams.

Step 2

Why this answer is correct

The correct answer is C. असमाप्त और अनावर्ती दशमलव / Non-terminating non-repeating decimal. A non-terminating non-repeating decimal is not rational. Identify the decimal pattern in exams.

Step 3

Exam Tip

असमाप्त और अनावर्ती दशमलव परिमेय संख्या नहीं होता। परीक्षा में दशमलव का पैटर्न पहचानें।

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\( \frac{2}{5} \) का दशमलव रूप क्या है?

What is the decimal form of \( \frac{2}{5} \)?

Explanation opens after your attempt
Correct Answer

A. (0.4)

Step 1

Concept

\( \frac{2}{5}=\frac{4}{10}=0.4 \). Changing denominator to (10) or (100) is an easy method.

Step 2

Why this answer is correct

The correct answer is A. (0.4). \( \frac{2}{5}=\frac{4}{10}=0.4 \). Changing denominator to (10) or (100) is an easy method.

Step 3

Exam Tip

\( \frac{2}{5}=\frac{4}{10}=0.4 \) है। हर को (10) या (100) में बदलना आसान तरीका है।

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\( \frac{7}{2} \) का दशमलव रूप क्या है?

What is the decimal form of \( \frac{7}{2} \)?

Explanation opens after your attempt
Correct Answer

B. (3.5)

Step 1

Concept

Dividing (7) by (2) gives (3.5). Use division to find decimal form.

Step 2

Why this answer is correct

The correct answer is B. (3.5). Dividing (7) by (2) gives (3.5). Use division to find decimal form.

Step 3

Exam Tip

(7) को (2) से भाग देने पर (3.5) मिलता है। भाग करके दशमलव रूप निकालें।

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\( \frac{-1}{4} \) का दशमलव रूप क्या है?

What is the decimal form of \( \frac{-1}{4} \)?

Explanation opens after your attempt
Correct Answer

B. (-0.25)

Step 1

Concept

\( \frac{1}{4}=0.25 \), so \( \frac{-1}{4}=-0.25 \). Keep the sign throughout the calculation.

Step 2

Why this answer is correct

The correct answer is B. (-0.25). \( \frac{1}{4}=0.25 \), so \( \frac{-1}{4}=-0.25 \). Keep the sign throughout the calculation.

Step 3

Exam Tip

\( \frac{1}{4}=0.25 \) है इसलिए \( \frac{-1}{4}=-0.25 \) होगा। चिह्न को अंत तक बनाए रखें।

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\( \frac{11}{100} \) का दशमलव रूप क्या है?

What is the decimal form of \( \frac{11}{100} \)?

Explanation opens after your attempt
Correct Answer

C. (0.11)

Step 1

Concept

The denominator is (100), so there will be two decimal places. \( \frac{11}{100}=0.11 \).

Step 2

Why this answer is correct

The correct answer is C. (0.11). The denominator is (100), so there will be two decimal places. \( \frac{11}{100}=0.11 \).

Step 3

Exam Tip

हर (100) है इसलिए दशमलव में दो स्थान होंगे। \( \frac{11}{100}=0.11 \)।

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\( \frac{9}{10} \) को संख्या रेखा पर कहाँ रखा जाएगा?

Where will \( \frac{9}{10} \) be placed on the number line?

Explanation opens after your attempt
Correct Answer

A. (0) और (1) के बीचBetween (0) and (1)

Step 1

Concept

\( \frac{9}{10} \) is less than (1) and greater than (0). So it lies between (0) and (1).

Step 2

Why this answer is correct

The correct answer is A. (0) और (1) के बीच / Between (0) and (1). \( \frac{9}{10} \) is less than (1) and greater than (0). So it lies between (0) and (1).

Step 3

Exam Tip

\( \frac{9}{10} \) का मान (1) से कम और (0) से अधिक है। इसलिए यह (0) और (1) के बीच है।

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\( \frac{-3}{2} \) संख्या रेखा पर किन दो पूर्णांकों के बीच है?

Between which two integers does \( \frac{-3}{2} \) lie on the number line?

Explanation opens after your attempt
Correct Answer

C. (-2) और (-1)(-2) and (-1)

Step 1

Concept

\( \frac{-3}{2}=-1.5 \), which lies between (-2) and (-1). Place negative decimals carefully on the number line.

Step 2

Why this answer is correct

The correct answer is C. (-2) और (-1) / (-2) and (-1). \( \frac{-3}{2}=-1.5 \), which lies between (-2) and (-1). Place negative decimals carefully on the number line.

Step 3

Exam Tip

\( \frac{-3}{2}=-1.5 \) है जो (-2) और (-1) के बीच आता है। ऋणात्मक दशमलव को संख्या रेखा पर सावधानी से रखें।

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दो परिमेय संख्याओं का योग हमेशा क्या होता है?

The sum of two rational numbers is always what?

Explanation opens after your attempt
Correct Answer

B. परिमेय संख्याRational number

Step 1

Concept

Rational numbers are closed under addition. The sum of two rational numbers is also rational.

Step 2

Why this answer is correct

The correct answer is B. परिमेय संख्या / Rational number. Rational numbers are closed under addition. The sum of two rational numbers is also rational.

Step 3

Exam Tip

परिमेय संख्याएँ योग के लिए संवृत होती हैं। दो परिमेय संख्याओं का योग भी परिमेय होता है।

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दो परिमेय संख्याओं का गुणनफल हमेशा क्या होता है?

The product of two rational numbers is always what?

Explanation opens after your attempt
Correct Answer

A. परिमेय संख्याRational number

Step 1

Concept

Rational numbers are closed under multiplication. So their product will be rational.

Step 2

Why this answer is correct

The correct answer is A. परिमेय संख्या / Rational number. Rational numbers are closed under multiplication. So their product will be rational.

Step 3

Exam Tip

परिमेय संख्याएँ गुणन के लिए संवृत होती हैं। इसलिए गुणनफल परिमेय संख्या ही होगा।

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परिमेय संख्याओं में योग का तत्समक अवयव कौन सा है?

What is the additive identity in rational numbers?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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परिमेय संख्याओं में गुणन का तत्समक अवयव कौन सा है?

What is the multiplicative identity in rational numbers?

Explanation opens after your attempt
Correct Answer

C. (1)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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\( \frac{8}{-12} \) का मानक रूप क्या है?

What is the standard form of \( \frac{8}{-12} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{-2}{3} \)

Step 1

Concept

To keep the denominator positive, put the negative sign in the numerator. \( \frac{8}{-12}=\frac{-2}{3} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{-2}{3} \). To keep the denominator positive, put the negative sign in the numerator. \( \frac{8}{-12}=\frac{-2}{3} \).

Step 3

Exam Tip

हर को धनात्मक रखने के लिए ऋण चिह्न अंश में रखते हैं। \( \frac{8}{-12}=\frac{-2}{3} \)।

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\( \frac{-5}{-6} \) किसके बराबर है?

What is \( \frac{-5}{-6} \) equal to?

Explanation opens after your attempt
Correct Answer

C. \( \frac{5}{6} \)

Step 1

Concept

Two negative signs make a positive sign. Therefore \( \frac{-5}{-6}=\frac{5}{6} \).

Step 2

Why this answer is correct

The correct answer is C. \( \frac{5}{6} \). Two negative signs make a positive sign. Therefore \( \frac{-5}{-6}=\frac{5}{6} \).

Step 3

Exam Tip

दो ऋण चिह्न मिलकर धनात्मक बनाते हैं। इसलिए \( \frac{-5}{-6}=\frac{5}{6} \)।

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\( \frac{4}{5} \) में अंश कौन सा है?

What is the numerator in \( \frac{4}{5} \)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The number written on top in a fraction is the numerator. In \( \frac{4}{5} \), the numerator is (4).

Step 2

Why this answer is correct

The correct answer is A. (4). The number written on top in a fraction is the numerator. In \( \frac{4}{5} \), the numerator is (4).

Step 3

Exam Tip

भिन्न में ऊपर लिखी संख्या अंश होती है। \( \frac{4}{5} \) में अंश (4) है।

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\( \frac{13}{17} \) में हर कौन सा है?

What is the denominator in \( \frac{13}{17} \)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

The number written below in a fraction is the denominator. In \( \frac{13}{17} \), the denominator is (17).

Step 2

Why this answer is correct

The correct answer is C. (17). The number written below in a fraction is the denominator. In \( \frac{13}{17} \), the denominator is (17).

Step 3

Exam Tip

भिन्न में नीचे लिखी संख्या हर होती है। \( \frac{13}{17} \) में हर (17) है।

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\( \frac{0}{-9} \) का मान क्या है?

What is the value of \( \frac{0}{-9} \)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

Zero divided by any non-zero number is (0). Here the denominator (-9) is not zero.

Step 2

Why this answer is correct

The correct answer is B. (0). Zero divided by any non-zero number is (0). Here the denominator (-9) is not zero.

Step 3

Exam Tip

शून्य को किसी भी शून्य से अलग संख्या से भाग देने पर मान (0) होता है। यहाँ हर (-9) है जो शून्य नहीं है।

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(1) का परिमेय रूप कौन सा है?

Which is a rational form of (1)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{2}{2} \)

Step 1

Concept

\( \frac{2}{2}=1 \) and the denominator is non-zero. So it is a rational form of (1).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{2}{2} \). \( \frac{2}{2}=1 \) and the denominator is non-zero. So it is a rational form of (1).

Step 3

Exam Tip

\( \frac{2}{2}=1 \) और हर शून्य नहीं है। इसलिए यह (1) का परिमेय रूप है।

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\( \frac{3}{7} \) और \( \frac{6}{14} \) के बारे में सही कथन क्या है?

What is the correct statement about \( \frac{3}{7} \) and \( \frac{6}{14} \)?

Explanation opens after your attempt
Correct Answer

C. दोनों तुल्य हैंBoth are equivalent

Step 1

Concept

Dividing \( \frac{6}{14} \) by (2) gives \( \frac{3}{7} \). So both are equivalent.

Step 2

Why this answer is correct

The correct answer is C. दोनों तुल्य हैं / Both are equivalent. Dividing \( \frac{6}{14} \) by (2) gives \( \frac{3}{7} \). So both are equivalent.

Step 3

Exam Tip

\( \frac{6}{14} \) को (2) से भाग देने पर \( \frac{3}{7} \) मिलता है। इसलिए दोनों तुल्य हैं।

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\( \frac{12}{15} \) को सरल करने के लिए अंश और हर को किससे भाग देंगे?

To simplify \( \frac{12}{15} \), by what should numerator and denominator be divided?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

The HCF of (12) and (15) is (3). So divide both by (3).

Step 2

Why this answer is correct

The correct answer is B. (3). The HCF of (12) and (15) is (3). So divide both by (3).

Step 3

Exam Tip

(12) और (15) का महत्तम समापवर्तक (3) है। इसलिए दोनों को (3) से भाग दें।

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\( \frac{2}{9} \) में \( \frac{1}{9} \) जोड़ने पर क्या मिलेगा?

What will be obtained by adding \( \frac{1}{9} \) to \( \frac{2}{9} \)?

Explanation opens after your attempt
Correct Answer

D. \( \frac{3}{9} \)

Step 1

Concept

The denominators are same, so add the numerators. \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \).

Step 2

Why this answer is correct

The correct answer is D. \( \frac{3}{9} \). The denominators are same, so add the numerators. \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \).

Step 3

Exam Tip

हर समान है इसलिए अंश जोड़ें। \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \)।

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\( \frac{-7}{3} \) का विपरीत चिह्न वाला रूप कौन सा है?

Which is the form of \( \frac{-7}{3} \) with opposite sign?

Explanation opens after your attempt
Correct Answer

A. \( \frac{7}{3} \)

Step 1

Concept

The form with opposite sign is \( \frac{7}{3} \). It is also the additive inverse of \( \frac{-7}{3} \).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{7}{3} \). The form with opposite sign is \( \frac{7}{3} \). It is also the additive inverse of \( \frac{-7}{3} \).

Step 3

Exam Tip

विपरीत चिह्न वाला रूप \( \frac{7}{3} \) है। यह \( \frac{-7}{3} \) का योज्य प्रतिलोम भी है।

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\( \frac{3}{4} \) और \( \frac{3}{5} \) में कौन बड़ी संख्या है?

Which is greater between \( \frac{3}{4} \) and \( \frac{3}{5} \)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{3}{4} \)

Step 1

Concept

With the same numerator, the fraction with the smaller denominator is greater. Hence \( \frac{3}{4}>\frac{3}{5} \).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{3}{4} \). With the same numerator, the fraction with the smaller denominator is greater. Hence \( \frac{3}{4}>\frac{3}{5} \).

Step 3

Exam Tip

समान अंश में छोटा हर वाला भिन्न बड़ा होता है। इसलिए \( \frac{3}{4}>\frac{3}{5} \)।

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\( \frac{-1}{3} \) और \( \frac{-1}{6} \) में कौन बड़ी संख्या है?

Which is greater between \( \frac{-1}{3} \) and \( \frac{-1}{6} \)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{-1}{6} \)

Step 1

Concept

Among negative numbers, the one closer to zero is greater. \( \frac{-1}{6} \) is closer to zero.

Step 2

Why this answer is correct

The correct answer is C. \( \frac{-1}{6} \). Among negative numbers, the one closer to zero is greater. \( \frac{-1}{6} \) is closer to zero.

Step 3

Exam Tip

ऋणात्मक संख्याओं में जो शून्य के अधिक निकट हो वह बड़ी होती है। \( \frac{-1}{6} \) शून्य के अधिक निकट है।

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\( \frac{5}{8} \) को (16) हर वाले तुल्य भिन्न में बदलने पर अंश क्या होगा?

When \( \frac{5}{8} \) is changed to an equivalent fraction with denominator (16), what will be the numerator?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

To change denominator (8) to (16), multiply by (2). So the numerator will be \(5\times2=10\).

Step 2

Why this answer is correct

The correct answer is C. (10). To change denominator (8) to (16), multiply by (2). So the numerator will be \(5\times2=10\).

Step 3

Exam Tip

हर (8) से (16) करने के लिए (2) से गुणा करें। इसलिए अंश \(5\times2=10\) होगा।

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\( \frac{2}{3} \) और \( \frac{4}{5} \) का अंतराल में मध्य मान कौन सा है?

Which is the middle value between \( \frac{2}{3} \) and \( \frac{4}{5} \)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{11}{15} \)

Step 1

Concept

The middle value is \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \). You can take the average to find a number between two numbers.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{11}{15} \). The middle value is \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \). You can take the average to find a number between two numbers.

Step 3

Exam Tip

मध्य मान \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \) है। दो संख्याओं के बीच संख्या के लिए औसत ले सकते हैं।

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FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.