Concept-wise Practice

zero-first-term MCQ Questions for Class 10

zero-first-term se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

7 questions tagged with zero-first-term.

यदि (a=0) और (d=4) है, तो समांतर श्रेढ़ी का (26)वाँ पद क्या है?

If (a=0) and (d=4), what is the (26)th term of the AP?

Explanation opens after your attempt
Correct Answer

D. (100)

Step 1

Concept

\(a_{26}=0+25\times4=100\). Even with zero first term, (n-1) differences are added.

Step 2

Why this answer is correct

The correct answer is D. (100). \(a_{26}=0+25\times4=100\). Even with zero first term, (n-1) differences are added.

Step 3

Exam Tip

\(a_{26}=0+25\times4=100\)। शून्य प्रथम पद होने पर भी (n-1) अंतर जुड़ते हैं।

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अनुक्रम \(0,-4,-8,-12,\ldots\) में (a) और (d) क्रमशः क्या हैं?

In the sequence \(0,-4,-8,-12,\ldots\), what are (a) and (d) respectively?

Explanation opens after your attempt
Correct Answer

C. (0) और (-4)(0) and (-4)

Step 1

Concept

The first term is (0), and (d=-4-0=-4). Zero can also be the first term.

Step 2

Why this answer is correct

The correct answer is C. (0) और (-4) / (0) and (-4). The first term is (0), and (d=-4-0=-4). Zero can also be the first term.

Step 3

Exam Tip

पहला पद (0) है और (d=-4-0=-4) है। शून्य भी पहला पद हो सकता है।

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अनुक्रम \(0,5,10,15,\ldots\) में (d) और (a) क्रमशः क्या हैं?

In \(0,5,10,15,\ldots\), what are (d) and (a) respectively?

Explanation opens after your attempt
Correct Answer

B. (d=5,\ a=0)

Step 1

Concept

The common difference is (5-0=5), and the first term is (0). The question asks in the order (d) then (a).

Step 2

Why this answer is correct

The correct answer is B. (d=5,\ a=0). The common difference is (5-0=5), and the first term is (0). The question asks in the order (d) then (a).

Step 3

Exam Tip

सार्व अंतर (5-0=5) और पहला पद (0) है। प्रश्न में क्रम (d) फिर (a) दिया है।

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अनुक्रम \(0,-3,-6,-9,\ldots\) में (a) और (d) क्रमशः क्या हैं?

In the sequence \(0,-3,-6,-9,\ldots\), what are (a) and (d) respectively?

Explanation opens after your attempt
Correct Answer

C. (0) और (-3)(0) and (-3)

Step 1

Concept

The first term is (0), and (d=-3-0=-3). Zero can also be the first term.

Step 2

Why this answer is correct

The correct answer is C. (0) और (-3) / (0) and (-3). The first term is (0), and (d=-3-0=-3). Zero can also be the first term.

Step 3

Exam Tip

पहला पद (0) है और (d=-3-0=-3) है। शून्य भी पहला पद हो सकता है।

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समांतर श्रेढ़ी \(0,-4,-8,-12,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(0,-4,-8,-12,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (-4)

Step 1

Concept

The difference of consecutive terms is (-4-0=-4). Even when the first term is zero, (d) is found the same way.

Step 2

Why this answer is correct

The correct answer is C. (-4). The difference of consecutive terms is (-4-0=-4). Even when the first term is zero, (d) is found the same way.

Step 3

Exam Tip

लगातार पदों का अंतर (-4-0=-4) है। शून्य प्रथम पद होने पर भी (d) इसी तरह निकलेगा।

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अनुक्रम \(0,5,10,15,\ldots\) में अगला पद क्या है?

What is the next term in the sequence \(0,5,10,15,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Step 1

Concept

The common difference is (5), so (15+5=20). Zero can be the first term.

Step 2

Why this answer is correct

The correct answer is B. (20). The common difference is (5), so (15+5=20). Zero can be the first term.

Step 3

Exam Tip

सार्व अंतर (5) है इसलिए (15+5=20) होगा। शून्य पहला पद हो सकता है।

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समांतर श्रेढ़ी \(0,3,6,9,\ldots\) का सार्व अंतर क्या है?

What is the common difference of the arithmetic progression \(0,3,6,9,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

The difference of consecutive terms is (3-0=3). The first term can be (0), and the sequence can still be an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is B. (3). The difference of consecutive terms is (3-0=3). The first term can be (0), and the sequence can still be an arithmetic progression.

Step 3

Exam Tip

लगातार पदों का अंतर (3-0=3) है। पहला पद (0) हो सकता है फिर भी श्रेढ़ी समांतर हो सकती है।

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