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Mathematics Introduction to APs and common difference. MCQ Questions for Class 10

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Introduction to APs and common difference. Practice Questions

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Question 1/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(3,7,11,15,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(3,7,11,15,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The difference of consecutive terms is (7-3=4). In exams, find common difference by subtracting the first term from the second term.

Step 2

Why this answer is correct

The correct answer is C. (4). The difference of consecutive terms is (7-3=4). In exams, find common difference by subtracting the first term from the second term.

Step 3

Exam Tip

लगातार पदों का अंतर (7-3=4) है। परीक्षा में सार्व अंतर के लिए दूसरा पद घटा पहला पद करें।

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Question 2/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किसी समांतर श्रेढ़ी में सार्व अंतर (d) किससे निकाला जाता है?

In an arithmetic progression, how is the common difference (d) found?

Explanation opens after your attempt

Correct Answer

A. \(d=a_2-a_1\)

Step 1

Concept

The common difference is the difference between two consecutive terms. Hence \(d=a_2-a_1\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(d=a_2-a_1\). The common difference is the difference between two consecutive terms. Hence \(d=a_2-a_1\) is correct.

Step 3

Exam Tip

सार्व अंतर लगातार दो पदों का अंतर होता है। इसलिए \(d=a_2-a_1\) सही है।

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Question 3/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(10,8,6,4,\ldots\) में सार्व अंतर क्या है?

What is the common difference in \(10,8,6,4,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (-2)

Step 1

Concept

Here (8-10=-2). In a decreasing arithmetic progression, the common difference can be negative.

Step 2

Why this answer is correct

The correct answer is B. (-2). Here (8-10=-2). In a decreasing arithmetic progression, the common difference can be negative.

Step 3

Exam Tip

यहाँ (8-10=-2) है। घटती हुई समांतर श्रेढ़ी में सार्व अंतर ऋणात्मक हो सकता है।

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Question 4/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम समांतर श्रेढ़ी है?

Which sequence is an arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. \(5,10,15,20,\ldots\)

Step 1

Concept

In \(5,10,15,20,\ldots\), (5) is added each time. A sequence with equal differences is an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is C. \(5,10,15,20,\ldots\). In \(5,10,15,20,\ldots\), (5) is added each time. A sequence with equal differences is an arithmetic progression.

Step 3

Exam Tip

\(5,10,15,20,\ldots\) में हर बार (5) जुड़ता है। समान अंतर वाली श्रेढ़ी समांतर श्रेढ़ी होती है।

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Question 5/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(6,6,6,6,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(6,6,6,6,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (0)

Step 1

Concept

The difference of consecutive terms is (6-6=0). A constant sequence is also an arithmetic progression with common difference (0).

Step 2

Why this answer is correct

The correct answer is D. (0). The difference of consecutive terms is (6-6=0). A constant sequence is also an arithmetic progression with common difference (0).

Step 3

Exam Tip

लगातार पदों का अंतर (6-6=0) है। समान पदों वाला अनुक्रम भी सार्व अंतर (0) के साथ समांतर श्रेढ़ी होता है।

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Question 6/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी \(12,17,22,27,\ldots\) का प्रथम पद क्या है?

What is the first term of the arithmetic progression \(12,17,22,27,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

The first term of an arithmetic progression is the first written term. Here the first term is (12).

Step 2

Why this answer is correct

The correct answer is B. (12). The first term of an arithmetic progression is the first written term. Here the first term is (12).

Step 3

Exam Tip

समांतर श्रेढ़ी का प्रथम पद पहला लिखा हुआ पद होता है। यहाँ प्रथम पद (12) है।

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Question 7/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(4,9,14,\Box,24,\ldots\) में \(\Box\) का मान क्या है?

In the sequence \(4,9,14,\Box,24,\ldots\), what is the value of \(\Box\)?

Explanation opens after your attempt

Correct Answer

C. (19)

Step 1

Concept

The common difference is (5). Therefore, (14+5=19).

Step 2

Why this answer is correct

The correct answer is C. (19). The common difference is (5). Therefore, (14+5=19).

Step 3

Exam Tip

यहाँ सार्व अंतर (5) है। इसलिए (14+5=19) होगा।

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Question 8/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम समांतर श्रेढ़ी नहीं है?

Which sequence is not an arithmetic progression?

Explanation opens after your attempt

Correct Answer

D. \(2,5,9,14,\ldots\)

Step 1

Concept

In \(2,5,9,14,\ldots\), the differences are (3,4,5). If differences are not equal, the sequence is not an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is D. \(2,5,9,14,\ldots\). In \(2,5,9,14,\ldots\), the differences are (3,4,5). If differences are not equal, the sequence is not an arithmetic progression.

Step 3

Exam Tip

\(2,5,9,14,\ldots\) में अंतर (3,4,5) हैं। अंतर समान न हो तो अनुक्रम समांतर श्रेढ़ी नहीं होता।

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Question 9/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि समांतर श्रेढ़ी का प्रथम पद (a=5) और सार्व अंतर (d=3) है, तो दूसरा पद क्या होगा?

If the first term of an arithmetic progression is (a=5) and the common difference is (d=3), what is the second term?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

The second term is (a+d). Therefore, (5+3=8).

Step 2

Why this answer is correct

The correct answer is A. (8). The second term is (a+d). Therefore, (5+3=8).

Step 3

Exam Tip

दूसरा पद (a+d) होता है। इसलिए (5+3=8) है।

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Question 10/600 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(-3,1,5,9,\ldots\) में सार्व अंतर क्या है?

What is the common difference in \(-3,1,5,9,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For consecutive terms, (1-(-3)=4). The same rule applies even when a term is negative.

Step 2

Why this answer is correct

The correct answer is C. (4). For consecutive terms, (1-(-3)=4). The same rule applies even when a term is negative.

Step 3

Exam Tip

लगातार पदों में (1-(-3)=4) है। ऋणात्मक पद होने पर भी वही नियम लागू होता है।

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Mathematics Introduction to APs and common difference. MCQ Questions for Class 10

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Introduction to APs and common difference. Practice Questions

अनुक्रम \(3,7,11,15,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

किसी समांतर श्रेढ़ी में सार्व अंतर (d) किससे निकाला जाता है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(10,8,6,4,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

कौन-सा अनुक्रम समांतर श्रेढ़ी है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(6,6,6,6,\ldots\) का सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी \(12,17,22,27,\ldots\) का प्रथम पद क्या है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(4,9,14,\Box,24,\ldots\) में \(\Box\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

कौन-सा अनुक्रम समांतर श्रेढ़ी नहीं है?

Concept

Why this answer is correct

Exam Tip

यदि समांतर श्रेढ़ी का प्रथम पद (a=5) और सार्व अंतर (d=3) है, तो दूसरा पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(-3,1,5,9,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

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