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highest power MCQ Questions for Class 10

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7 questions tagged with highest power.

Question 1/7 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (p(x)=11x-6-4x-3+x-9) की घात क्या है?

What is the degree of the polynomial (p(x)=11x-6-4x-3+x-9)?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 2

Why this answer is correct

The correct answer is C. (6). The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.

Step 3

Exam Tip

सबसे बड़ी घात (6) है इसलिए घात (6) होगी। गुणांक नहीं बल्कि चर की सबसे ऊंची घात देखें।

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Question 2/7 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

किस मान के लिए (p(x)=(a-2)x-3+4x-2+1) की घात (2) हो जाएगी?

For which value will (p(x)=(a-2)x-3+4x-2+1) have degree (2)?

Explanation opens after your attempt
Correct Answer

C. (a=2)

Step 1

Concept

For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).

Step 2

Why this answer is correct

The correct answer is C. (a=2). For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).

Step 3

Exam Tip

घात (2) के लिए \(x^3\) का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है।

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Question 3/7 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?

Which of the following is a polynomial in (x) with degree (4)?

Explanation opens after your attempt
Correct Answer

A. \(x^4-2x+7\)

Step 1

Concept

In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.

Step 2

Why this answer is correct

The correct answer is A. \(x^4-2x+7\). In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.

Step 3

Exam Tip

\(x^4-2x+7\) में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।

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Question 4/7 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(x^5+1\) की घात क्या है?

What is the degree of \(x^5+1\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). The constant term does not increase the degree.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। नियत पद घात को नहीं बढ़ाता।

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Question 5/7 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

\(6x^4-2x^2+x-8\) की घात क्या है?

What is the degree of \(6x^4-2x^2+x-8\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (4) है इसलिए घात (4) है। पदों की संख्या नहीं, सबसे बड़ी घात महत्वपूर्ण है।

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Question 6/7 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद \(11x^5-3x^2+8\) की घात क्या है?

What is the degree of \(11x^5-3x^2+8\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.

Step 3

Exam Tip

सबसे बड़ी घात (5) है इसलिए घात (5) होगी। पदों की संख्या नहीं बल्कि सबसे बड़ी घात देखें।

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Question 7/7 Expert Mathematics Real Numbers Prime factorisation Class 10 Level 7

यदि दो संख्याओं का अभाज्य गुणनखंड रूप \(2^3\times5^2\) और \(2\times3^2\times5\) है, तो उनका लघुत्तम समापवर्त्य क्या होगा?

If two numbers have prime factorisations \(2^3\times5^2\) and \(2\times3^2\times5\), what is their LCM?

Explanation opens after your attempt
Correct Answer

A. \(2^3\times3^2\times5^2\)

Step 1

Concept

LCM includes every prime factor with its highest exponent.

Step 2

Why this answer is correct

Highest powers are \(2^3\), \(3^2\), and \(5^2\).

Step 3

Exam Tip

For LCM, do not miss a prime factor that appears in either number. चरण 1: लघुत्तम समापवर्त्य में सभी अभाज्य गुणनखंड अपनी सबसे बड़ी घात के साथ लिए जाते हैं। चरण 2: (2) की बड़ी घात (3), (3) की घात (2), और (5) की बड़ी घात (2) है। चरण 3: लघुत्तम समापवर्त्य में कोई अभाज्य गुणनखंड छूटना नहीं चाहिए।

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