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opposite-terms MCQ Questions for Class 10

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6 questions tagged with opposite-terms.

Question 1/6 Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि \(9,5,1,-3,\ldots\) के प्रत्येक पद का विपरीत लिया जाए तो नए अनुक्रम का (d) क्या होगा?

If the opposite of each term of \(9,5,1,-3,\ldots\) is taken, what will be (d) of the new sequence?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The original (d=-4). Multiplying all terms by (-1) makes the new (d=4).

Step 2

Why this answer is correct

The correct answer is A. (4). The original (d=-4). Multiplying all terms by (-1) makes the new (d=4).

Step 3

Exam Tip

मूल (d=-4) है। सभी पदों को (-1) से गुणा करने पर नया (d=4) हो जाता है।

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Question 2/6 Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि \(10, 15, 20,\ldots\) के प्रत्येक पद का विपरीत लेकर (4) जोड़ा जाए, तो नए अनुक्रम का (d) क्या होगा?

If the opposite of each term of \(10, 15, 20,\ldots\) is taken and (4) is added, what will be (d) of the new sequence?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

Taking opposites means multiplying by (-1), so (d=5) becomes (-5); adding the same (4) does not change (d). Pay attention to sign change.

Step 2

Why this answer is correct

The correct answer is B. (-5). Taking opposites means multiplying by (-1), so (d=5) becomes (-5); adding the same (4) does not change (d). Pay attention to sign change.

Step 3

Exam Tip

विपरीत लेने का अर्थ (-1) से गुणा करना है, इसलिए (d=5) से (-5) हो जाएगा; समान (4) जोड़ने से (d) नहीं बदलेगा। चिह्न परिवर्तन पर ध्यान दें।

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Question 3/6 Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि \(7, 3, -1, -5,\ldots\) में प्रत्येक पद का विपरीत लिया जाए, तो नए अनुक्रम का (d) क्या होगा?

If the opposite of each term of \(7, 3, -1, -5,\ldots\) is taken, what will be (d) of the new sequence?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The original (d=-4), and the opposite terms form \(-7,-3,1,5,\ldots\), whose (d=4). Multiplying all terms by (-1) changes the sign of (d).

Step 2

Why this answer is correct

The correct answer is A. (4). The original (d=-4), and the opposite terms form \(-7,-3,1,5,\ldots\), whose (d=4). Multiplying all terms by (-1) changes the sign of (d).

Step 3

Exam Tip

मूल (d=-4) है और विपरीत पद \(-7,-3,1,5,\ldots\) बनाते हैं, जिनका (d=4) है। सभी पदों को (-1) से गुणा करने पर (d) का चिह्न बदलता है।

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Question 4/6 Medium Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

विलोपन विधि से (7x-2y=41) और (7x+2y=57) को हल करें।

Solve (7x-2y=41) and (7x+2y=57) by elimination.

Explanation opens after your attempt
Correct Answer

C. ( (7,4) )

Step 1

Concept

Adding both equations gives (14x=98), so (x=7) and (y=4). Add opposite (y) terms to eliminate them.

Step 2

Why this answer is correct

The correct answer is C. ( (7,4) ). Adding both equations gives (14x=98), so (x=7) and (y=4). Add opposite (y) terms to eliminate them.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (14x=98), इसलिए (x=7) और (y=4)। विपरीत (y) पदों को जोड़कर हटाएँ।

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Question 5/6 Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

विलोपन विधि से (x+2y=12) और (x-2y=4) का हल चुनें।

Choose the solution of (x+2y=12) and (x-2y=4) by elimination.

Explanation opens after your attempt
Correct Answer

C. ( (8,2) )

Step 1

Concept

Adding both equations gives (2x=16), so (x=8) and (y=2). Add opposite (2y) terms to eliminate them.

Step 2

Why this answer is correct

The correct answer is C. ( (8,2) ). Adding both equations gives (2x=16), so (x=8) and (y=2). Add opposite (2y) terms to eliminate them.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (2x=16), इसलिए (x=8) और (y=2)। विपरीत (2y) पदों को जोड़कर हटाएँ।

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Question 6/6 Easy Mathematics Real Numbers Irrational numbers Class 10 Level 15

\(\sqrt{13}\) और \(-\sqrt{13}\) का योग क्या है?

What is the sum of \(\sqrt{13}\) and \(-\sqrt{13}\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The two terms are opposites of each other.

Step 2

Why this answer is correct

(\sqrt{13}+\(-\sqrt{13}\)=0).

Step 3

Exam Tip

The sum of opposite terms is always zero. चरण 1: ये दोनों पद एक-दूसरे के विपरीत हैं। चरण 2: (\sqrt{13}+\(-\sqrt{13}\)=0)। चरण 3: विपरीत पदों का योग हमेशा शून्य होता है।

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