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Mathematics Quiz - Class 9 Mathematics Introduction to Po...

Question 1/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

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

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

Explanation opens after your attempt

Correct Answer

A. \(5+2\sqrt{6}\)

Step 1

Concept

Use ((a+b)²=a^-2+b^-2+2ab). Apply identities carefully.

Step 2

Why this answer is correct

The correct answer is A. \(5+2\sqrt{6}\). Use ((a+b)²=a^-2+b^-2+2ab). Apply identities carefully.

Step 3

Exam Tip

((a+b)²=a^-2+b^-2+2ab) का प्रयोग करें। सूत्रों का सही उपयोग करें।

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Question 2/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या \(\sqrt{72}\) के बराबर है?

Which number is equal to \(\sqrt{72}\)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(72=36\times2\), hence \(\sqrt{72}=6\sqrt{2}\). Extract perfect squares.

Step 2

Why this answer is correct

The correct answer is B. \(6\sqrt{2}\). \(72=36\times2\), hence \(\sqrt{72}=6\sqrt{2}\). Extract perfect squares.

Step 3

Exam Tip

\(72=36\times2\) इसलिए \(\sqrt{72}=6\sqrt{2}\)। पूर्ण वर्ग अलग करें।

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Question 3/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{5}-2\) तो ((a+2)²) क्या होगा?

If \(a=\sqrt{5}-2\) then what is ((a+2)²)?

Explanation opens after your attempt

Correct Answer

B. 5

Step 1

Concept

\(a+2=\sqrt{5}\), so its square is 5. Simplify first.

Step 2

Why this answer is correct

The correct answer is B. 5. \(a+2=\sqrt{5}\), so its square is 5. Simplify first.

Step 3

Exam Tip

\(a+2=\sqrt{5}\) इसलिए वर्ग 5 होगा। पहले सरल करें।

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Question 4/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

निम्न में से कौन अपरिमेय है?

Which of the following is irrational?

Explanation opens after your attempt

Correct Answer

C. \(\sqrt{14}\)

Step 1

Concept

14 is not a perfect square. Hence \(\sqrt{14}\) is irrational.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{14}\). 14 is not a perfect square. Hence \(\sqrt{14}\) is irrational.

Step 3

Exam Tip

14 पूर्ण वर्ग नहीं है। इसलिए \(\sqrt{14}\) अपरिमेय है।

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Question 5/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{18}+\sqrt{50}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{18}+\sqrt{50}\)?

Explanation opens after your attempt

Correct Answer

A. \(8\sqrt{2}\)

Step 1

Concept

\(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{50}=5\sqrt{2}\). Sum is \(8\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(8\sqrt{2}\). \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{50}=5\sqrt{2}\). Sum is \(8\sqrt{2}\).

Step 3

Exam Tip

\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\)। योग \(8\sqrt{2}\) है।

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Question 6/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{7}\) तो \(x+\frac{1}{x}\) किस प्रकार की संख्या है?

If \(x=\sqrt{7}\) then \(x+\frac{1}{x}\) is what type of number?

Explanation opens after your attempt

Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

\(\sqrt{7}+\frac{\sqrt{7}}{7}\) remains irrational. Use irrational number properties.

Step 2

Why this answer is correct

The correct answer is B. अपरिमेय / Irrational. \(\sqrt{7}+\frac{\sqrt{7}}{7}\) remains irrational. Use irrational number properties.

Step 3

Exam Tip

\(\sqrt{7}+\frac{\sqrt{7}}{7}\) अपरिमेय रहता है। गुणों को पहचानें।

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Question 7/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव प्रसार अपरिमेय संख्या दर्शाता है?

Which decimal expansion represents an irrational number?

Explanation opens after your attempt

Correct Answer

C. \(0.101001000100001\ldots\)

Step 1

Concept

It is infinite and non repeating. Hence it is irrational.

Step 2

Why this answer is correct

The correct answer is C. \(0.101001000100001\ldots\). It is infinite and non repeating. Hence it is irrational.

Step 3

Exam Tip

यह अनंत और अनावर्ती है। इसलिए अपरिमेय है।

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Question 8/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{3}\) और \(b=\sqrt{12}\) तो (a+b) क्या है?

If \(a=\sqrt{3}\) and \(b=\sqrt{12}\) then what is (a+b)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). Simplify before adding.

Step 2

Why this answer is correct

The correct answer is D. \(5\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). Simplify before adding.

Step 3

Exam Tip

\(\sqrt{12}=2\sqrt{3}\) इसलिए योग \(3\sqrt{3}\) नहीं बल्कि \(3\sqrt{3}\)? सही योग \(3\sqrt{3}\) है।

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Question 9/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=9\) तो (x) क्या है?

If \(\sqrt{x}=9\) then what is (x)?

Explanation opens after your attempt

Correct Answer

B. 81

Step 1

Concept

Squaring both sides gives (x=81). Square both sides when needed.

Step 2

Why this answer is correct

The correct answer is B. 81. Squaring both sides gives (x=81). Square both sides when needed.

Step 3

Exam Tip

दोनों पक्षों का वर्ग करने पर (x=81)। वर्गमूल के प्रश्नों में वर्ग करें।

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Question 10/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{98}-\sqrt{8}\) का मान क्या है?

What is the value of \(\sqrt{98}-\sqrt{8}\)?

Explanation opens after your attempt

Correct Answer

C. \(5\sqrt{2}\)

Step 1

Concept

\(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Difference is \(5\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is C. \(5\sqrt{2}\). \(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Difference is \(5\sqrt{2}\).

Step 3

Exam Tip

\(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(5\sqrt{2}\) है।

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Question 11/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{2}-1\) तो (x\(\sqrt{2}+1\)) का मान क्या है?

If \(x=\sqrt{2}-1\) then what is (x\(\sqrt{2}+1\))?

Explanation opens after your attempt

Correct Answer

A. 1

Step 1

Concept

Use ((a-b)(a+b)=a^-2-b^-2). The result is (2-1=1).

Step 2

Why this answer is correct

The correct answer is A. 1. Use ((a-b)(a+b)=a^-2-b^-2). The result is (2-1=1).

Step 3

Exam Tip

((a-b)(a+b)=a^-2-b^-2)। उत्तर (2-1=1) है।

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Question 12/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा युग्म दोनों परिमेय हैं?

Which pair is both rational?

Explanation opens after your attempt

Correct Answer

B. \(\frac{2}{7},-4\)

Step 1

Concept

Fractions and integers are rational. Identify number types.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{2}{7},-4\). Fractions and integers are rational. Identify number types.

Step 3

Exam Tip

भिन्न और पूर्णांक दोनों परिमेय हैं। संख्या के प्रकार पहचानें।

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Question 13/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{45}+\sqrt{80}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{45}+\sqrt{80}\)?

Explanation opens after your attempt

Correct Answer

A. \(13\sqrt{5}\)

Step 1

Concept

\(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{80}=4\sqrt{5}\). Sum is \(7\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(13\sqrt{5}\). \(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{80}=4\sqrt{5}\). Sum is \(7\sqrt{5}\).

Step 3

Exam Tip

\(\sqrt{45}=3\sqrt{5}\) और \(\sqrt{80}=4\sqrt{5}\)। योग \(7\sqrt{5}\) है।

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Question 14/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{11}\) तो \(x^2+5\) क्या होगा?

If \(x=\sqrt{11}\) then what is \(x^2+5\)?

Explanation opens after your attempt

Correct Answer

B. 16

Step 1

Concept

\(x^2=11\), so the answer is 16. Evaluate the square first.

Step 2

Why this answer is correct

The correct answer is B. 16. \(x^2=11\), so the answer is 16. Evaluate the square first.

Step 3

Exam Tip

\(x^2=11\) इसलिए उत्तर 16 है। पहले वर्ग निकालें।

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Question 15/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या सबसे छोटी है?

Which number is the smallest?

Explanation opens after your attempt

Correct Answer

C. 1

Step 1

Concept

1 is smaller than all others. Use approximate values.

Step 2

Why this answer is correct

The correct answer is C. 1. 1 is smaller than all others. Use approximate values.

Step 3

Exam Tip

1 का मान अन्य सभी से कम है। अनुमानित मान उपयोग करें।

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Question 16/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{8}\) तो \(a^2\) क्या है?

If \(a=\sqrt{8}\) then what is \(a^2\)?

Explanation opens after your attempt

Correct Answer

C. 8

Step 1

Concept

The square of a square root gives the original number. Answer is 8.

Step 2

Why this answer is correct

The correct answer is C. 8. The square of a square root gives the original number. Answer is 8.

Step 3

Exam Tip

वर्गमूल का वर्ग मूल संख्या देता है। उत्तर 8 है।

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Question 17/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{200}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{200}\)?

Explanation opens after your attempt

Correct Answer

A. \(10\sqrt{2}\)

Step 1

Concept

\(200=100\times2\), so \(\sqrt{200}=10\sqrt{2}\). Extract perfect squares.

Step 2

Why this answer is correct

The correct answer is A. \(10\sqrt{2}\). \(200=100\times2\), so \(\sqrt{200}=10\sqrt{2}\). Extract perfect squares.

Step 3

Exam Tip

\(200=100\times2\) इसलिए \(\sqrt{200}=10\sqrt{2}\)। पूर्ण वर्ग अलग करें।

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Question 18/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{5}+\sqrt{5}\) तो (x) क्या है?

If \(x=\sqrt{5}+\sqrt{5}\) then what is (x)?

Explanation opens after your attempt

Correct Answer

C. \(2\sqrt{5}\)

Step 1

Concept

Add coefficients of like surds. Result is \(2\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is C. \(2\sqrt{5}\). Add coefficients of like surds. Result is \(2\sqrt{5}\).

Step 3

Exam Tip

समान मूलों के गुणांक जोड़े जाते हैं। उत्तर \(2\sqrt{5}\) है।

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Question 19/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव समाप्त होता है?

Which decimal terminates?

Explanation opens after your attempt

Correct Answer

B. \(\frac{9}{32}\)

Step 1

Concept

The denominator has only factor 2. Hence the decimal terminates.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{9}{32}\). The denominator has only factor 2. Hence the decimal terminates.

Step 3

Exam Tip

हर में केवल 2 के गुणनखंड हैं। इसलिए दशमलव समाप्त होगा।

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Question 20/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{13}\) तो (x) किस प्रकार की संख्या है?

If \(x=\sqrt{13}\) then what type of number is (x)?

Explanation opens after your attempt

Correct Answer

C. अपरिमेयIrrational

Step 1

Concept

13 is not a perfect square. Hence \(\sqrt{13}\) is irrational.

Step 2

Why this answer is correct

The correct answer is C. अपरिमेय / Irrational. 13 is not a perfect square. Hence \(\sqrt{13}\) is irrational.

Step 3

Exam Tip

13 पूर्ण वर्ग नहीं है। इसलिए \(\sqrt{13}\) अपरिमेय है।

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Question 21/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{27}\times\sqrt{3}\) का मान क्या है?

What is the value of \(\sqrt{27}\times\sqrt{3}\)?

Explanation opens after your attempt

Correct Answer

B. 9

Step 1

Concept

\(\sqrt{81}=9\). Apply radical multiplication.

Step 2

Why this answer is correct

The correct answer is B. 9. \(\sqrt{81}=9\). Apply radical multiplication.

Step 3

Exam Tip

\(\sqrt{81}=9\)। मूलों के गुणन का नियम लगाएँ।

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Question 22/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{6}\) और \(b=\sqrt{24}\) तो (b-a) क्या है?

If \(a=\sqrt{6}\) and \(b=\sqrt{24}\) then what is (b-a)?

Explanation opens after your attempt

Correct Answer

C. \(3\sqrt{6}\)

Step 1

Concept

\(\sqrt{24}=2\sqrt{6}\), so the difference is \(\sqrt{6}\). Simplify first.

Step 2

Why this answer is correct

The correct answer is C. \(3\sqrt{6}\). \(\sqrt{24}=2\sqrt{6}\), so the difference is \(\sqrt{6}\). Simplify first.

Step 3

Exam Tip

\(\sqrt{24}=2\sqrt{6}\) इसलिए अंतर \(\sqrt{6}\) है। सरल रूप पर ध्यान दें।

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Question 23/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

वास्तविक संख्याएँ किसका संघ हैं?

Real numbers are the union of which sets?

Explanation opens after your attempt

Correct Answer

B. परिमेय और अपरिमेयRational and irrational

Step 1

Concept

This is the basic definition of real numbers. Remember it.

Step 2

Why this answer is correct

The correct answer is B. परिमेय और अपरिमेय / Rational and irrational. This is the basic definition of real numbers. Remember it.

Step 3

Exam Tip

यह वास्तविक संख्याओं की मूल परिभाषा है। इसे याद रखें।

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Question 24/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{12}\times\sqrt{75}\) का मान क्या है?

What is the value of \(\sqrt{12}\times\sqrt{75}\)?

Explanation opens after your attempt

Correct Answer

A. 30

Step 1

Concept

\(\sqrt{900}=30\). Multiply first then take square root.

Step 2

Why this answer is correct

The correct answer is A. 30. \(\sqrt{900}=30\). Multiply first then take square root.

Step 3

Exam Tip

\(\sqrt{900}=30\)। पहले गुणा करें फिर वर्गमूल लें।

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Question 25/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{3}+\sqrt{2}\) तो \(x^2-5\) क्या होगा?

If \(x=\sqrt{3}+\sqrt{2}\) then what is \(x^2-5\)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(x^2=5+2\sqrt{6}\), hence the result is \(2\sqrt{6}\). Apply identities.

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{6}\). \(x^2=5+2\sqrt{6}\), hence the result is \(2\sqrt{6}\). Apply identities.

Step 3

Exam Tip

\(x^2=5+2\sqrt{6}\) इसलिए उत्तर \(2\sqrt{6}\) है। सूत्र लागू करें।

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Question 26/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या परिमेय है?

Which number is rational?

Explanation opens after your attempt

Correct Answer

C. \(\frac{22}{7}\)

Step 1

Concept

\(\frac{22}{7}\) is rational. The others are irrational.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{22}{7}\). \(\frac{22}{7}\) is rational. The others are irrational.

Step 3

Exam Tip

भिन्न \(\frac{22}{7}\) परिमेय है। बाकी अपरिमेय हैं।

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Question 27/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{147}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{147}\)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(147=49\times3\). Therefore \(\sqrt{147}=7\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(7\sqrt{3}\). \(147=49\times3\). Therefore \(\sqrt{147}=7\sqrt{3}\).

Step 3

Exam Tip

\(147=49\times3\)। इसलिए \(\sqrt{147}=7\sqrt{3}\)।

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Question 28/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(\sqrt{x}=12\) तो (x-44) क्या है?

If \(\sqrt{x}=12\) then what is (x-44)?

Explanation opens after your attempt

Correct Answer

B. 100

Step 1

Concept

(x=144), so (144-44=100). Square both sides.

Step 2

Why this answer is correct

The correct answer is B. 100. (x=144), so (144-44=100). Square both sides.

Step 3

Exam Tip

(x=144) इसलिए (144-44=100)। वर्ग करें।

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Question 29/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प केवल अपरिमेय संख्याएँ रखता है?

Which option contains only irrational numbers?

Explanation opens after your attempt

Correct Answer

A. \(\sqrt{2},\sqrt{5}\)

Step 1

Concept

Both numbers are irrational. Watch for perfect squares.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2},\sqrt{5}\). Both numbers are irrational. Watch for perfect squares.

Step 3

Exam Tip

दोनों संख्याएँ अपरिमेय हैं। पूर्ण वर्गों से सावधान रहें।

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Question 30/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{32}+\sqrt{8}\) का मान क्या है?

What is the value of \(\sqrt{32}+\sqrt{8}\)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(\sqrt{32}=4\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Sum is \(6\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is B. \(6\sqrt{2}\). \(\sqrt{32}=4\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Sum is \(6\sqrt{2}\).

Step 3

Exam Tip

\(\sqrt{32}=4\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। योग \(6\sqrt{2}\) है।

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Question 31/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{10}\) तो \(\frac{a^2}{2}\) क्या होगा?

If \(a=\sqrt{10}\) then what is \(\frac{a^2}{2}\)?

Explanation opens after your attempt

Correct Answer

C. 5

Step 1

Concept

\(a^2=10\), so \(\frac{10}{2}=5\). Evaluate the square first.

Step 2

Why this answer is correct

The correct answer is C. 5. \(a^2=10\), so \(\frac{10}{2}=5\). Evaluate the square first.

Step 3

Exam Tip

\(a^2=10\) इसलिए \(\frac{10}{2}=5\)। पहले वर्ग निकालें।

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Question 32/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{108}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{108}\)?

Explanation opens after your attempt

Correct Answer

A. \(6\sqrt{3}\)

Step 1

Concept

\(108=36\times3\). Thus \(\sqrt{108}=6\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(6\sqrt{3}\). \(108=36\times3\). Thus \(\sqrt{108}=6\sqrt{3}\).

Step 3

Exam Tip

\(108=36\times3\)। इसलिए \(\sqrt{108}=6\sqrt{3}\)।

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Question 33/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

Subtract like terms. The answer is \(2\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{2}\). Subtract like terms. The answer is \(2\sqrt{2}\).

Step 3

Exam Tip

समान पदों का घटाव करें। उत्तर \(2\sqrt{2}\) है।

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Question 34/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा दशमलव आवर्ती है?

Which decimal is recurring?

Explanation opens after your attempt

Correct Answer

B. \(0.6666\ldots\)

Step 1

Concept

The same digit repeats indefinitely. Hence it is recurring.

Step 2

Why this answer is correct

The correct answer is B. \(0.6666\ldots\). The same digit repeats indefinitely. Hence it is recurring.

Step 3

Exam Tip

एक ही अंक बार बार दोहर रहा है। इसलिए आवर्ती है।

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Question 35/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{63}-\sqrt{28}\) का मान क्या है?

What is the value of \(\sqrt{63}-\sqrt{28}\)?

Explanation opens after your attempt

Correct Answer

A. \(\sqrt{7}\)

Step 1

Concept

\(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Difference is \(\sqrt{7}\).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{7}\). \(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Difference is \(\sqrt{7}\).

Step 3

Exam Tip

\(\sqrt{63}=3\sqrt{7}\) और \(\sqrt{28}=2\sqrt{7}\)। अंतर \(\sqrt{7}\) है।

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Question 36/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(x=\sqrt{15}\) तो \(x^2+10\) क्या होगा?

If \(x=\sqrt{15}\) then what is \(x^2+10\)?

Explanation opens after your attempt

Correct Answer

C. 25

Step 1

Concept

\(x^2=15\), so the answer is 25. Simple evaluation.

Step 2

Why this answer is correct

The correct answer is C. 25. \(x^2=15\), so the answer is 25. Simple evaluation.

Step 3

Exam Tip

\(x^2=15\) इसलिए उत्तर 25 है। सरल गणना करें।

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Question 37/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प वास्तविक संख्या है?

Which option is a real number?

Explanation opens after your attempt

Correct Answer

C. \(\sqrt{49}\)

Step 1

Concept

\(\sqrt{49}=7\) is real. Square roots of negatives are not real.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{49}\). \(\sqrt{49}=7\) is real. Square roots of negatives are not real.

Step 3

Exam Tip

\(\sqrt{49}=7\) वास्तविक संख्या है। ऋणात्मक के वर्गमूल वास्तविक नहीं हैं।

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Question 38/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{300}\) का सरल रूप क्या है?

What is the simplified form of \(\sqrt{300}\)?

Explanation opens after your attempt

Correct Answer

A. \(10\sqrt{3}\)

Step 1

Concept

\(300=100\times3\). Therefore \(\sqrt{300}=10\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(10\sqrt{3}\). \(300=100\times3\). Therefore \(\sqrt{300}=10\sqrt{3}\).

Step 3

Exam Tip

\(300=100\times3\)। इसलिए \(\sqrt{300}=10\sqrt{3}\)।

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Question 39/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

यदि \(a=\sqrt{2}+\sqrt{8}\) तो (a) क्या है?

If \(a=\sqrt{2}+\sqrt{8}\) then what is (a)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

\(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is B. \(3\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\), so the sum is \(3\sqrt{2}\).

Step 3

Exam Tip

\(\sqrt{8}=2\sqrt{2}\) इसलिए योग \(3\sqrt{2}\) है।

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Question 40/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सा विकल्प केवल परिमेय संख्याएँ रखता है?

Which option contains only rational numbers?

Explanation opens after your attempt

Correct Answer

A. \(\frac{5}{6},-3\)

Step 1

Concept

Fractions and integers are rational. Other options contain irrationals.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{5}{6},-3\). Fractions and integers are rational. Other options contain irrationals.

Step 3

Exam Tip

भिन्न और पूर्णांक दोनों परिमेय हैं। अन्य विकल्पों में अपरिमेय हैं।

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Question 41/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

\(\sqrt{175}\) का सरल रूप क्या है?

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is A. \(5\sqrt{7}\). \(175=25\times7\). Thus \(\sqrt{175}=5\sqrt{7}\).

Step 3

Exam Tip

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

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Question 42/50 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)?

Explanation opens after your attempt

Correct Answer

A. 225

Step 1

Concept

Squaring both sides gives (x=225). This is the basic technique.

Step 2

Why this answer is correct

The correct answer is A. 225. Squaring both sides gives (x=225). This is the basic technique.

Step 3

Exam Tip

दोनों पक्षों का वर्ग करने पर (x=225)। यह मूल तकनीक है।

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Question 43/50 Expert Mathematics Number Systems Real Numbers Class 9 Level 1

कौन सी संख्या अपरिमेय नहीं है?

Which number is not irrational?

Explanation opens after your attempt

Correct Answer

C. \(\sqrt{81}\)

Step 1

Concept

\(\sqrt{81}=9\) is rational. The others are irrational.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{81}\). \(\sqrt{81}=9\) is rational. The others are irrational.

Step 3

Exam Tip

\(\sqrt{81}=9\) परिमेय है। बाकी अपरिमेय हैं।

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Question 44/50 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. \(11\sqrt{2}\)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is A. \(11\sqrt{2}\). \(242=121\times2\). Therefore \(\sqrt{242}=11\sqrt{2}\).

Step 3

Exam Tip

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

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Question 45/50 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

Step 1

Concept

\(x^2=3\), so the sum is (3+3=6).

Step 2

Why this answer is correct

The correct answer is B. 6. \(x^2=3\), so the sum is (3+3=6).

Step 3

Exam Tip

\(x^2=3\) इसलिए योग (3+3=6) है।

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Question 46/50 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. \(\sqrt{100}\)

Step 1

Concept

\(\sqrt{100}=10\) is real. Square roots of negatives are not real.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{100}\). \(\sqrt{100}=10\) is real. Square roots of negatives are not real.

Step 3

Exam Tip

\(\sqrt{100}=10\) वास्तविक है। ऋणात्मक के वर्गमूल वास्तविक नहीं होते।

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Question 47/50 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. \(9\sqrt{3}\)

Step 1

Concept

\(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). Sum is \(9\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is B. \(9\sqrt{3}\). \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). Sum is \(9\sqrt{3}\).

Step 3

Exam Tip

\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\)। योग \(9\sqrt{3}\) है।

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Question 48/50 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. \(12+2\sqrt{35}\)

Step 1

Concept

Use ((a+b)²=a^-2+b^-2+2ab). Apply identities carefully.

Step 2

Why this answer is correct

The correct answer is A. \(12+2\sqrt{35}\). Use ((a+b)²=a^-2+b^-2+2ab). Apply identities carefully.

Step 3

Exam Tip

((a+b)²=a^-2+b^-2+2ab) का उपयोग करें। सूत्रों को सावधानी से लागू करें।

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Question 49/50 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

Step 1

Concept

\(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\). Apply the quotient rule of radicals.

Step 2

Why this answer is correct

The correct answer is B. 6. \(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\). Apply the quotient rule of radicals.

Step 3

Exam Tip

\(\frac{\sqrt{180}}{\sqrt{5}}=\sqrt{36}=6\)। मूलों के भाग का नियम लगाएँ।

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Question 50/50 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. \(\sqrt{2}\)

Step 1

Concept

\(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). The difference is \(\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2}\). \(\sqrt{18}=3\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). The difference is \(\sqrt{2}\).

Step 3

Exam Tip

\(\sqrt{18}=3\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\)। अंतर \(\sqrt{2}\) है।

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Class 9 Mathematics - Introduction to Polynomials - Definition of polynomial Expert Quiz

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यदि \(a=\sqrt{3}\) और \(b=\sqrt{12}\) तो (a+b) क्या है?

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यदि \(\sqrt{x}=9\) तो (x) क्या है?

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यदि \(x=\sqrt{2}-1\) तो (x\(\sqrt{2}+1\)) का मान क्या है?

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कौन सा युग्म दोनों परिमेय हैं?

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यदि \(x=\sqrt{11}\) तो \(x^2+5\) क्या होगा?

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कौन सी संख्या सबसे छोटी है?

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यदि \(a=\sqrt{8}\) तो \(a^2\) क्या है?

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\(\sqrt{200}\) का सरल रूप क्या है?

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यदि \(x=\sqrt{5}+\sqrt{5}\) तो (x) क्या है?

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