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factors MCQ Questions for Class 10

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6 questions tagged with factors.

Question 1/6 Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

दृश्य भार का सही मूल्यांकन किस समूह से होगा?

Which group will correctly evaluate visual weight?

Explanation opens after your attempt
Correct Answer

A. आकार मान रंग बनावट और स्थितिSize value colour texture and position

Step 1

Concept

Visual weight is decided by many visual qualities. Exam tip: write multiple factors in balance analysis.

Step 2

Why this answer is correct

The correct answer is A. आकार मान रंग बनावट और स्थिति / Size value colour texture and position. Visual weight is decided by many visual qualities. Exam tip: write multiple factors in balance analysis.

Step 3

Exam Tip

दृश्य भार कई दृश्य गुणों से तय होता है। परीक्षा में balance analysis में multiple factors लिखें।

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Question 2/6 Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

असममित संतुलन का विश्लेषण करते समय केवल आकार देखना क्यों पर्याप्त नहीं है?

Why is looking only at size not enough while analysing asymmetrical balance?

Explanation opens after your attempt
Correct Answer

A. मान रंग स्थिति और बनावट भी दृश्य भार बदलते हैंValue colour position and texture also change visual weight

Step 1

Concept

Visual weight is decided by many elements. Exam tip: write multiple factors in asymmetrical balance.

Step 2

Why this answer is correct

The correct answer is A. मान रंग स्थिति और बनावट भी दृश्य भार बदलते हैं / Value colour position and texture also change visual weight. Visual weight is decided by many elements. Exam tip: write multiple factors in asymmetrical balance.

Step 3

Exam Tip

दृश्य भार कई तत्वों से तय होता है। परीक्षा में asymmetrical balance में multiple factors लिखें।

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Question 3/6 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

\(x^4-1\) के रैखिक गुणनखंडों में से कौन सा गलत है?

Which one is not a linear factor of \(x^4-1\)?

Explanation opens after your attempt
Correct Answer

C. \(x^2+1\)

Step 1

Concept

\(x^2+1\) is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 2

Why this answer is correct

The correct answer is C. \(x^2+1\). \(x^2+1\) is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 3

Exam Tip

\(x^2+1\) रैखिक नहीं है क्योंकि उसकी घात (2) है। वास्तविक संख्याओं में इसे रैखिक गुणनखंड नहीं माना जाता।

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Question 4/6 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (x-a), (x-b) और (x-c) किसी घन बहुपद के गुणनखंड हैं, तो उसका एक संभावित बहुपद कौन सा है?

If (x-a), (x-b), and (x-c) are factors of a cubic polynomial, which is a possible polynomial?

Explanation opens after your attempt
Correct Answer

A. (x-3-(a+b+c)x-2+(ab+bc+ca)x-abc)

Step 1

Concept

Expanding ((x-a)(x-b)(x-c)) gives the first form. Remember the link between zeroes and factors.

Step 2

Why this answer is correct

The correct answer is A. (x-3-(a+b+c)x-2+(ab+bc+ca)x-abc). Expanding ((x-a)(x-b)(x-c)) gives the first form. Remember the link between zeroes and factors.

Step 3

Exam Tip

((x-a)(x-b)(x-c)) फैलाने पर पहला रूप मिलता है। शून्यकों और गुणनखंडों का संबंध याद रखें।

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Question 5/6 Expert Mathematics Real Numbers Prime factorisation Class 10 Level 9

संख्या \(2^3 \times 3^2 \times 5\) के कुल धनात्मक गुणनखंडों की संख्या कितनी है?

How many positive factors does the number \(2^3 \times 3^2 \times 5\) have?

Explanation opens after your attempt
Correct Answer

A. 24

Step 1

Concept

In prime factorisation, add 1 to each exponent and multiply.

Step 2

Why this answer is correct

Here the number of factors is ((3+1)(2+1)(1+1)=24).

Step 3

Exam Tip

In exams, identify the exponents first and then multiply carefully. चरण 1: अभाज्य गुणनखंडन में घातों में 1 जोड़कर गुणा करते हैं। चरण 2: यहां कुल गुणनखंड \((3+1)(2+1)(1+1)=4 \times 3 \times 2=24\) हैं। चरण 3: परीक्षा में पहले घातों को ध्यान से पहचानें, फिर जल्दी गुणा करें।

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Question 6/6 Expert Mathematics Real Numbers Prime factorisation Class 10 Level 7

यदि \(m=2^3\times3^2\times5^2\), तो (m) के ऐसे गुणनखंडों की संख्या कितनी है जो (10) से विभाज्य हैं?

If \(m=2^3\times3^2\times5^2\), how many factors of (m) are divisible by (10)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

Since \(10=2\times5\), the factor must contain at least one (2) and one (5).

Step 2

Why this answer is correct

Powers of (2): (1,2,3) give (3) choices; powers of (3): (0,1,2) give (3) choices; powers of (5): (1,2) give (2) choices. Total (=18).

Step 3

Exam Tip

For divisibility, check the required minimum prime powers. चरण 1: \(10=2\times5\), इसलिए गुणनखंड में (2) और (5) दोनों कम से कम एक बार होने चाहिए। चरण 2: (2) की घात (1,2,3) यानी (3) तरीके; (3) की घात (0,1,2) यानी (3) तरीके; (5) की घात (1,2) यानी (2) तरीके। कुल \(3\times3\times2=18\)। चरण 3: किसी संख्या से विभाज्यता में उसके अभाज्य गुणनखंडों की न्यूनतम घात देखें।

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