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common-difference-check MCQ Questions for Class 10

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4 questions tagged with common-difference-check.

Question 1/4 Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किस अनुक्रम में पहले तीन लगातार अंतर (4,4,4) मिलते हैं?

In which sequence are the first three consecutive differences (4,4,4)?

Explanation opens after your attempt
Correct Answer

A. \(2,6,10,14,\ldots\)

Step 1

Concept

In \(2,6,10,14,\ldots\), the differences are (4,4,4). Equal differences identify an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. \(2,6,10,14,\ldots\). In \(2,6,10,14,\ldots\), the differences are (4,4,4). Equal differences identify an arithmetic progression.

Step 3

Exam Tip

\(2,6,10,14,\ldots\) में अंतर (4,4,4) हैं। समान अंतर समांतर श्रेढ़ी की पहचान है।

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Question 2/4 Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि कोई अनुक्रम \(1,4,7,10,\ldots\) है, तो तीसरे और दूसरे पद का अंतर क्या है?

If a sequence is \(1,4,7,10,\ldots\), what is the difference between the third and second terms?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

The third term is (7) and the second term is (4). Therefore, the difference is (7-4=3).

Step 2

Why this answer is correct

The correct answer is B. (3). The third term is (7) and the second term is (4). Therefore, the difference is (7-4=3).

Step 3

Exam Tip

तीसरा पद (7) और दूसरा पद (4) है। इसलिए अंतर (7-4=3) है।

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Question 3/4 Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(5,12,19,26,\ldots\) में पहले दो पदों का अंतर और तीसरे-चौथे पदों का अंतर क्या है?

In \(5,12,19,26,\ldots\), what are the difference of the first two terms and the difference of the third and fourth terms?

Explanation opens after your attempt
Correct Answer

A. (7) और (7)(7) and (7)

Step 1

Concept

The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. (7) और (7) / (7) and (7). The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.

Step 3

Exam Tip

पहला अंतर (12-5=7) और दूसरा (26-19=7) है। समान अंतर समांतर श्रेढ़ी की पुष्टि करता है।

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Question 4/4 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(2,9,16,23,\ldots\) में दूसरा और तीसरा पद घटाकर (d) क्या मिलेगा?

By subtracting the second and third terms in \(2,9,16,23,\ldots\), what (d) will be obtained?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).

Step 2

Why this answer is correct

The correct answer is C. (7). The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).

Step 3

Exam Tip

तीसरा पद घटा दूसरा पद (16-9=7) है। किसी भी दो लगातार पदों से वही (d) मिलना चाहिए।

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