Class 10 Chapter Practice

Mathematics Arithmetic Progressions Ap MCQ Questions for Class 10

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Yes, this page includes topic-wise practice such as Finding the n th term of an AP, Introduction to APs and common difference., Finding the sum of the first n terms of an AP.

Related questions grouped automatically for chapter-wise practice. Topics include Finding the $n$th term of an AP, Introduction to APs and common difference., Finding the sum of the first $n$ terms of an AP.

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Class 10 Mathematics Arithmetic Progressions Ap Practice

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Arithmetic Progressions Ap - Topics Covered

Mathematics Arithmetic Progressions Ap ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Arithmetic Progressions Ap ko easy tarike se practice aur revise kar sake.

Finding the $n$th term of an AP
600 MCQs
Introduction to APs and common difference.
600 MCQs
Finding the sum of the first $n$ terms of an AP
50 MCQs

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Mathematics Arithmetic Progressions Ap MCQ Questions

Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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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Question 11/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $25,20,15,10,\ldots$ में सार्व अंतर क्या है?

What is the common difference in the arithmetic progression $25,20,15,10,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

Here (20-25=-5). It is important to take care of the sign in the common difference.

Step 2

Why this answer is correct

The correct answer is B. (-5). Here (20-25=-5). It is important to take care of the sign in the common difference.

Step 3

Exam Tip

यहाँ (20-25=-5) है। सार्व अंतर में चिन्ह का ध्यान रखना जरूरी है।

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Question 12/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि किसी अनुक्रम में हर अगला पद पिछले पद से (7) अधिक है, तो उसका सार्व अंतर क्या है?

If each next term of a sequence is (7) more than the previous term, what is its common difference?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Adding (7) each time means the common difference is (7). Such a sequence will be an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is C. (7). Adding (7) each time means the common difference is (7). Such a sequence will be an arithmetic progression.

Step 3

Exam Tip

हर बार (7) जोड़ने का अर्थ सार्व अंतर (7) है। ऐसी श्रेढ़ी समांतर श्रेढ़ी होगी।

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Question 13/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $1.5,2.0,2.5,3.0,\ldots$ का सार्व अंतर क्या है?

What is the common difference of $1.5,2.0,2.5,3.0,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (0.5)

Step 1

Concept

The difference of consecutive terms is (2.0-1.5=0.5). Even for decimal terms, equal differences must be checked.

Step 2

Why this answer is correct

The correct answer is B. (0.5). The difference of consecutive terms is (2.0-1.5=0.5). Even for decimal terms, equal differences must be checked.

Step 3

Exam Tip

लगातार पदों का अंतर (2.0-1.5=0.5) है। दशमलव पदों में भी समान अंतर जाँचना होता है।

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Question 14/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $\frac{1}{2},1,\frac{3}{2},2,\ldots$ का सार्व अंतर क्या है?

What is the common difference of $\frac{1}{2},1,\frac{3}{2},2,\ldots$?

Explanation opens after your attempt

Correct Answer

A. $\frac{1}{2}$

Step 1

Concept

Here $1-\frac{1}{2}=\frac{1}{2}$. For fractions also, the common difference is found from consecutive terms.

Step 2

Why this answer is correct

The correct answer is A. $\frac{1}{2}$. Here $1-\frac{1}{2}=\frac{1}{2}$. For fractions also, the common difference is found from consecutive terms.

Step 3

Exam Tip

यहाँ $1-\frac{1}{2}=\frac{1}{2}$ है। भिन्नों में भी सार्व अंतर लगातार पदों से ही निकलेगा।

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Question 15/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम (d=3) वाली समांतर श्रेढ़ी है?

Which sequence is an arithmetic progression with (d=3)?

Explanation opens after your attempt

Correct Answer

B. $4,7,10,13,\ldots$

Step 1

Concept

In $4,7,10,13,\ldots$, (3) is added each time. Hence its common difference is (3).

Step 2

Why this answer is correct

The correct answer is B. $4,7,10,13,\ldots$. In $4,7,10,13,\ldots$, (3) is added each time. Hence its common difference is (3).

Step 3

Exam Tip

$4,7,10,13,\ldots$ में हर बार (3) जुड़ता है। इसलिए इसका सार्व अंतर (3) है।

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Question 16/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि समांतर श्रेढ़ी $a,a+2,a+4,a+6,\ldots$ है, तो सार्व अंतर क्या है?

If the arithmetic progression is $a,a+2,a+4,a+6,\ldots$, what is the common difference?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

The difference of consecutive terms is ((a+2)-a=2). For algebraic terms also, subtract to find the difference.

Step 2

Why this answer is correct

The correct answer is C. (2). The difference of consecutive terms is ((a+2)-a=2). For algebraic terms also, subtract to find the difference.

Step 3

Exam Tip

लगातार पदों का अंतर ((a+2)-a=2) है। अक्षर वाले पदों में भी घटाकर अंतर निकालें।

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Question 17/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $30,27,24,21,\ldots$ में अगला पद क्या होगा?

What will be the next term in $30,27,24,21,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (18)

Step 1

Concept

The common difference is (-3). Therefore, the next term is (21-3=18).

Step 2

Why this answer is correct

The correct answer is C. (18). The common difference is (-3). Therefore, the next term is (21-3=18).

Step 3

Exam Tip

यहाँ सार्व अंतर (-3) है। इसलिए अगला पद (21-3=18) होगा।

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Question 18/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $2,5,8,11,\ldots$ में तीसरा पद कौन-सा है?

Which is the third term in the arithmetic progression $2,5,8,11,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The third written term is (8). In easy questions, count the position of the term carefully.

Step 2

Why this answer is correct

The correct answer is C. (8). The third written term is (8). In easy questions, count the position of the term carefully.

Step 3

Exam Tip

तीसरा लिखा हुआ पद (8) है। आसान प्रश्नों में पद की स्थिति ध्यान से गिनें।

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Question 19/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा विकल्प समांतर श्रेढ़ी की सही विशेषता बताता है?

Which option states the correct property of an arithmetic progression?

Explanation opens after your attempt

Correct Answer

B. हर दो लगातार पदों का अंतर समान होता हैThe difference between every two consecutive terms is equal

Step 1

Concept

In an arithmetic progression, the difference between consecutive terms is constant. This is its main identity.

Step 2

Why this answer is correct

The correct answer is B. हर दो लगातार पदों का अंतर समान होता है / The difference between every two consecutive terms is equal. In an arithmetic progression, the difference between consecutive terms is constant. This is its main identity.

Step 3

Exam Tip

समांतर श्रेढ़ी में लगातार पदों का अंतर स्थिर होता है। यही इसकी मुख्य पहचान है।

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Question 20/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $3,6,12,24,\ldots$ समांतर श्रेढ़ी क्यों नहीं है?

Why is $3,6,12,24,\ldots$ not an arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. क्योंकि लगातार अंतर समान नहीं हैंBecause consecutive differences are not equal

Step 1

Concept

The differences are (3,6,12), which are not equal. Hence it is not an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is C. क्योंकि लगातार अंतर समान नहीं हैं / Because consecutive differences are not equal. The differences are (3,6,12), which are not equal. Hence it is not an arithmetic progression.

Step 3

Exam Tip

अंतर (3,6,12) हैं जो समान नहीं हैं। इसलिए यह समांतर श्रेढ़ी नहीं है।

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Question 21/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (a=9) और (d=-2) है, तो समांतर श्रेढ़ी का दूसरा पद क्या है?

If (a=9) and (d=-2), what is the second term of the arithmetic progression?

Explanation opens after your attempt

Correct Answer

A. (7)

Step 1

Concept

The second term is (a+d=9+(-2)=7). Use signs carefully while adding a negative difference.

Step 2

Why this answer is correct

The correct answer is A. (7). The second term is (a+d=9+(-2)=7). Use signs carefully while adding a negative difference.

Step 3

Exam Tip

दूसरा पद (a+d=9+(-2)=7) है। ऋणात्मक अंतर जोड़ते समय चिन्ह सावधानी से लगाएँ।

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Question 22/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $100,90,80,70,\ldots$ का सार्व अंतर क्या है?

What is the common difference of $100,90,80,70,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (-10)

Step 1

Concept

Here (90-100=-10). Do not take the answer as positive in a decreasing sequence.

Step 2

Why this answer is correct

The correct answer is B. (-10). Here (90-100=-10). Do not take the answer as positive in a decreasing sequence.

Step 3

Exam Tip

यहाँ (90-100=-10) है। घटते अनुक्रम में उत्तर को धनात्मक न मान लें।

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Question 23/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

एक किसान हर दिन (4) पौधे अधिक लगाता है। यदि पहले दिन (6) पौधे लगाए, तो पौधों की संख्या का अनुक्रम कैसा होगा?

A farmer plants (4) more plants each day. If he plants (6) plants on the first day, what will the sequence be?

Explanation opens after your attempt

Correct Answer

A. $6,10,14,18,\ldots$

Step 1

Concept

The first day has (6), and (4) more are planted each day. Hence the sequence is $6,10,14,18,\ldots$.

Step 2

Why this answer is correct

The correct answer is A. $6,10,14,18,\ldots$. The first day has (6), and (4) more are planted each day. Hence the sequence is $6,10,14,18,\ldots$.

Step 3

Exam Tip

पहले दिन (6) और हर दिन (4) अधिक है। इसलिए अनुक्रम $6,10,14,18,\ldots$ होगा।

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Question 24/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $14,18,22,26,\ldots$ में चौथा पद क्या है?

What is the fourth term in $14,18,22,26,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

The fourth term is directly (26). While counting positions, start from the first term (14).

Step 2

Why this answer is correct

The correct answer is C. (26). The fourth term is directly (26). While counting positions, start from the first term (14).

Step 3

Exam Tip

चौथा पद सीधे (26) है। पद क्रम गिनते समय पहला पद (14) से शुरू करें।

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Question 25/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किस अनुक्रम का सार्व अंतर (-4) है?

Which sequence has common difference (-4)?

Explanation opens after your attempt

Correct Answer

B. $20,16,12,8,\ldots$

Step 1

Concept

In $20,16,12,8,\ldots$, (4) is subtracted each time. Therefore, the common difference is (-4).

Step 2

Why this answer is correct

The correct answer is B. $20,16,12,8,\ldots$. In $20,16,12,8,\ldots$, (4) is subtracted each time. Therefore, the common difference is (-4).

Step 3

Exam Tip

$20,16,12,8,\ldots$ में हर बार (4) घटता है। इसलिए सार्व अंतर (-4) है।

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Question 26/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

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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Question 27/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $11,15,19,23,\ldots$ में (d) और (a) क्रमशः क्या हैं?

In $11,15,19,23,\ldots$, what are (d) and (a) respectively?

Explanation opens after your attempt

Correct Answer

B. (d=4,\ a=11)

Step 1

Concept

The first term is (a=11) and the common difference is (15-11=4). Keep the asked order of values in mind.

Step 2

Why this answer is correct

The correct answer is B. (d=4,\ a=11). The first term is (a=11) and the common difference is (15-11=4). Keep the asked order of values in mind.

Step 3

Exam Tip

पहला पद (a=11) और सार्व अंतर (15-11=4) है। क्रमशः पूछे गए मानों का क्रम ध्यान रखें।

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Question 28/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (d=0) है, तो समांतर श्रेढ़ी का स्वरूप कैसा होगा?

If (d=0), what will be the form of an arithmetic progression?

Explanation opens after your attempt

Correct Answer

A. सभी पद समान होंगेAll terms will be equal

Step 1

Concept

(d=0) means there is no change between terms. Therefore, all terms will be equal.

Step 2

Why this answer is correct

The correct answer is A. सभी पद समान होंगे / All terms will be equal. (d=0) means there is no change between terms. Therefore, all terms will be equal.

Step 3

Exam Tip

(d=0) का अर्थ है कि कोई बदलाव नहीं हो रहा। इसलिए सभी पद समान होंगे।

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Question 29/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $2,7,12,17,\ldots$ में पाँचवाँ पद क्या होगा?

What will be the fifth term in $2,7,12,17,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (22)

Step 1

Concept

The common difference is (5). Adding (5) to the fourth term (17) gives the fifth term (22).

Step 2

Why this answer is correct

The correct answer is C. (22). The common difference is (5). Adding (5) to the fourth term (17) gives the fifth term (22).

Step 3

Exam Tip

यहाँ सार्व अंतर (5) है। चौथे पद (17) में (5) जोड़ने पर पाँचवाँ पद (22) मिलता है।

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Question 30/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम बराबर अंतर के कारण समांतर श्रेढ़ी है?

Which sequence is an arithmetic progression because of equal differences?

Explanation opens after your attempt

Correct Answer

B. $3,8,13,18,\ldots$

Step 1

Concept

In $3,8,13,18,\ldots$, the difference is always (5). Hence it is an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is B. $3,8,13,18,\ldots$. In $3,8,13,18,\ldots$, the difference is always (5). Hence it is an arithmetic progression.

Step 3

Exam Tip

$3,8,13,18,\ldots$ में अंतर हमेशा (5) है। इसलिए यह समांतर श्रेढ़ी है।

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Question 31/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $-10,-6,-2,2,\ldots$ का सार्व अंतर क्या है?

What is the common difference of the arithmetic progression $-10,-6,-2,2,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Here (-6-(-10)=4). Subtract carefully when negative numbers are involved.

Step 2

Why this answer is correct

The correct answer is B. (4). Here (-6-(-10)=4). Subtract carefully when negative numbers are involved.

Step 3

Exam Tip

यहाँ (-6-(-10)=4) है। ऋणात्मक संख्याओं के साथ घटाव सावधानी से करें।

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Question 32/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि समांतर श्रेढ़ी के लगातार दो पद (18) और (23) हैं, तो सार्व अंतर क्या होगा?

If two consecutive terms of an arithmetic progression are (18) and (23), what is the common difference?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

The common difference is the second term minus the first term. Therefore, (23-18=5).

Step 2

Why this answer is correct

The correct answer is A. (5). The common difference is the second term minus the first term. Therefore, (23-18=5).

Step 3

Exam Tip

सार्व अंतर दूसरा पद घटा पहला पद होता है। इसलिए (23-18=5)।

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Question 33/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $4,8,13,19,\ldots$ समांतर श्रेढ़ी है या नहीं?

Is the sequence $4,8,13,19,\ldots$ an arithmetic progression or not?

Explanation opens after your attempt

Correct Answer

C. नहीं क्योंकि अंतर समान नहीं हैंNo because differences are not equal

Step 1

Concept

Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is C. नहीं क्योंकि अंतर समान नहीं हैं / No because differences are not equal. Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.

Step 3

Exam Tip

इसके अंतर (4,5,6) हैं। समान अंतर न होने से यह समांतर श्रेढ़ी नहीं है।

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Question 34/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $1,4,7,10,\ldots$ में प्रत्येक पद पिछले पद से कितना अधिक है?

In the arithmetic progression $1,4,7,10,\ldots$, how much greater is each term than the previous term?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Each next term is (3) greater than the previous term. This is the common difference of the sequence.

Step 2

Why this answer is correct

The correct answer is C. (3). Each next term is (3) greater than the previous term. This is the common difference of the sequence.

Step 3

Exam Tip

हर अगला पद पिछले पद से (3) अधिक है। यही इस श्रेढ़ी का सार्व अंतर है।

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Question 35/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (a=2) और (d=5) है, तो पहले तीन पद कौन-से होंगे?

If (a=2) and (d=5), what are the first three terms?

Explanation opens after your attempt

Correct Answer

B. (2,7,12)

Step 1

Concept

The first term is (2), and (5) is added each time. Therefore, the first three terms are (2,7,12).

Step 2

Why this answer is correct

The correct answer is B. (2,7,12). The first term is (2), and (5) is added each time. Therefore, the first three terms are (2,7,12).

Step 3

Exam Tip

पहला पद (2) है और हर बार (5) जोड़ना है। इसलिए पहले तीन पद (2,7,12) हैं।

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Question 36/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम (a=9) और (d=2) से शुरू होता है?

Which sequence starts with (a=9) and (d=2)?

Explanation opens after your attempt

Correct Answer

A. $9,11,13,15,\ldots$

Step 1

Concept

The first term is (9), and (2) is added each time. Hence the correct sequence is $9,11,13,15,\ldots$.

Step 2

Why this answer is correct

The correct answer is A. $9,11,13,15,\ldots$. The first term is (9), and (2) is added each time. Hence the correct sequence is $9,11,13,15,\ldots$.

Step 3

Exam Tip

पहला पद (9) है और हर बार (2) जोड़ना है। इसलिए सही अनुक्रम $9,11,13,15,\ldots$ है।

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Question 37/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $40,35,30,25,\ldots$ में अगले दो पद कौन-से होंगे?

What will be the next two terms in $40,35,30,25,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (20,15)

Step 1

Concept

The common difference is (-5). Therefore, (25-5=20) and (20-5=15).

Step 2

Why this answer is correct

The correct answer is C. (20,15). The common difference is (-5). Therefore, (25-5=20) and (20-5=15).

Step 3

Exam Tip

यहाँ सार्व अंतर (-5) है। इसलिए (25-5=20) और (20-5=15)।

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Question 38/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $18,21,24,27,\ldots$ में कौन-सा पद दिया गया नहीं है?

Which term is not given in the arithmetic progression $18,21,24,27,\ldots$?

Explanation opens after your attempt

Correct Answer

D. (30)

Step 1

Concept

The written terms are (18,21,24,27). (30) can be the next term but is not among the given terms.

Step 2

Why this answer is correct

The correct answer is D. (30). The written terms are (18,21,24,27). (30) can be the next term but is not among the given terms.

Step 3

Exam Tip

लिखे हुए पद (18,21,24,27) हैं। (30) अगला पद हो सकता है पर दिए गए पदों में नहीं है।

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Question 39/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि कोई अनुक्रम $5,5,5,5,\ldots$ है, तो वह किस प्रकार की समांतर श्रेढ़ी है?

If a sequence is $5,5,5,5,\ldots$, what type of arithmetic progression is it?

Explanation opens after your attempt

Correct Answer

C. समान पदों वालीConstant terms

Step 1

Concept

All terms are equal, so (d=0). It can be called an arithmetic progression with constant terms.

Step 2

Why this answer is correct

The correct answer is C. समान पदों वाली / Constant terms. All terms are equal, so (d=0). It can be called an arithmetic progression with constant terms.

Step 3

Exam Tip

सभी पद समान हैं इसलिए (d=0) है। इसे समान पदों वाली समांतर श्रेढ़ी कह सकते हैं।

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Question 40/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कक्षा में सीटों की पंक्तियाँ $12,14,16,18,\ldots$ के अनुसार बढ़ती हैं। इस व्यवस्था का सार्व अंतर क्या है?

Rows of seats in a class increase as $12,14,16,18,\ldots$. What is the common difference of this arrangement?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

Each next row increases by (2) seats. Therefore, the common difference is (2).

Step 2

Why this answer is correct

The correct answer is B. (2). Each next row increases by (2) seats. Therefore, the common difference is (2).

Step 3

Exam Tip

हर अगली पंक्ति में (2) सीटें बढ़ती हैं। इसलिए सार्व अंतर (2) है।

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Question 41/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $50,45,40,35,\ldots$ में प्रत्येक पद पिछले पद से कितना कम है?

In the sequence $50,45,40,35,\ldots$, how much less is each term than the previous term?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 2

Why this answer is correct

The correct answer is C. (5). Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 3

Exam Tip

हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा।

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Question 42/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4},\ldots$ का सार्व अंतर क्या है?

What is the common difference of the arithmetic progression $\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4},\ldots$?

Explanation opens after your attempt

Correct Answer

B. $\frac{1}{2}$

Step 1

Concept

$\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}$. For fractions with the same denominator, subtract the numerators.

Step 2

Why this answer is correct

The correct answer is B. $\frac{1}{2}$. $\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}$. For fractions with the same denominator, subtract the numerators.

Step 3

Exam Tip

$\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}$ है। समान हर वाले भिन्नों में अंश घटाएँ।

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Question 43/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि $a_1=16$ और $a_2=10$ हैं, तो सार्व अंतर (d) क्या होगा?

If $a_1=16$ and $a_2=10$, what will be the common difference (d)?

Explanation opens after your attempt

Correct Answer

C. (-6)

Step 1

Concept

$d=a_2-a_1=10-16=-6$. Always subtract the first term from the second term.

Step 2

Why this answer is correct

The correct answer is C. (-6). $d=a_2-a_1=10-16=-6$. Always subtract the first term from the second term.

Step 3

Exam Tip

$d=a_2-a_1=10-16=-6$ है। दूसरे पद से पहला पद ही घटाएँ।

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Question 44/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $2,4,6,8,\ldots$ में सार्व अंतर (2) है। यह किस प्रकार का अनुक्रम है?

The sequence $2,4,6,8,\ldots$ has common difference (2). What type of sequence is it?

Explanation opens after your attempt

Correct Answer

A. समांतर श्रेढ़ीArithmetic progression

Step 1

Concept

The difference between consecutive terms is the same (2). Therefore, it is an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. समांतर श्रेढ़ी / Arithmetic progression. The difference between consecutive terms is the same (2). Therefore, it is an arithmetic progression.

Step 3

Exam Tip

लगातार पदों का अंतर समान (2) है। इसलिए यह समांतर श्रेढ़ी है।

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Question 45/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किसी समांतर श्रेढ़ी में (d>0) होने पर पद सामान्यतः कैसे बदलते हैं?

In an arithmetic progression, when (d>0), how do the terms generally change?

Explanation opens after your attempt

Correct Answer

B. बढ़ते हैंThey increase

Step 1

Concept

Positive (d) means something is added each time. Therefore, the terms increase.

Step 2

Why this answer is correct

The correct answer is B. बढ़ते हैं / They increase. Positive (d) means something is added each time. Therefore, the terms increase.

Step 3

Exam Tip

धनात्मक (d) का अर्थ हर बार कुछ जोड़ना है। इसलिए पद बढ़ते हैं।

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Question 46/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किसी समांतर श्रेढ़ी में (d<0) होने पर पद सामान्यतः कैसे बदलते हैं?

In an arithmetic progression, when (d<0), how do the terms generally change?

Explanation opens after your attempt

Correct Answer

C. घटते हैंThey decrease

Step 1

Concept

Negative (d) means subtraction occurs each time. Therefore, the terms decrease.

Step 2

Why this answer is correct

The correct answer is C. घटते हैं / They decrease. Negative (d) means subtraction occurs each time. Therefore, the terms decrease.

Step 3

Exam Tip

ऋणात्मक (d) का अर्थ हर बार घटाना है। इसलिए पद घटते हैं।

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Question 47/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $7,10,13,16,\ldots$ में (10) कौन-सा पद है?

In the sequence $7,10,13,16,\ldots$, which term is (10)?

Explanation opens after your attempt

Correct Answer

B. दूसरा पदSecond term

Step 1

Concept

In the written order, (7) is the first term and (10) is the second term. Count from the beginning to find the term position.

Step 2

Why this answer is correct

The correct answer is B. दूसरा पद / Second term. In the written order, (7) is the first term and (10) is the second term. Count from the beginning to find the term position.

Step 3

Exam Tip

लिखे क्रम में (7) पहला और (10) दूसरा पद है। पद संख्या निकालते समय शुरुआत से गिनें।

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Question 48/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

समांतर श्रेढ़ी $31,28,25,22,\ldots$ का सार्व अंतर क्या है?

What is the common difference of the arithmetic progression $31,28,25,22,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (-3)

Step 1

Concept

(28-31=-3). In a decreasing progression, the common difference is written as negative.

Step 2

Why this answer is correct

The correct answer is B. (-3). (28-31=-3). In a decreasing progression, the common difference is written as negative.

Step 3

Exam Tip

(28-31=-3) है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखा जाता है।

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Question 49/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (a=4) और पहला अगला पद (9) है, तो (d) क्या होगा?

If (a=4) and the next term is (9), what is (d)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

The common difference is (9-4=5). Find (d) by subtracting the first term from the next term.

Step 2

Why this answer is correct

The correct answer is B. (5). The common difference is (9-4=5). Find (d) by subtracting the first term from the next term.

Step 3

Exam Tip

सार्व अंतर (9-4=5) है। अगले पद से पहले पद को घटाकर (d) निकालें।

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Question 50/50 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

कौन-सा अनुक्रम (d=0) वाली समांतर श्रेढ़ी है?

Which sequence is an arithmetic progression with (d=0)?

Explanation opens after your attempt

Correct Answer

B. $8,8,8,8,\ldots$

Step 1

Concept

In $8,8,8,8,\ldots$, every difference is (0). Hence it is an arithmetic progression with (d=0).

Step 2

Why this answer is correct

The correct answer is B. $8,8,8,8,\ldots$. In $8,8,8,8,\ldots$, every difference is (0). Hence it is an arithmetic progression with (d=0).

Step 3

Exam Tip

$8,8,8,8,\ldots$ में हर अंतर (0) है। इसलिए यह (d=0) वाली समांतर श्रेढ़ी है।

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Mathematics Arithmetic Progressions Ap MCQ Questions for Class 10

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Mathematics Arithmetic Progressions Ap MCQ 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

समांतर श्रेढ़ी \(25,20,15,10,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

यदि किसी अनुक्रम में हर अगला पद पिछले पद से (7) अधिक है, तो उसका सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(1.5,2.0,2.5,3.0,\ldots\) का सार्व अंतर क्या है?

Concept

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Exam Tip

अनुक्रम \(\frac{1}{2},1,\frac{3}{2},2,\ldots\) का सार्व अंतर क्या है?

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कौन-सा अनुक्रम (d=3) वाली समांतर श्रेढ़ी है?

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यदि समांतर श्रेढ़ी \(a,a+2,a+4,a+6,\ldots\) है, तो सार्व अंतर क्या है?

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अनुक्रम \(30,27,24,21,\ldots\) में अगला पद क्या होगा?

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समांतर श्रेढ़ी \(2,5,8,11,\ldots\) में तीसरा पद कौन-सा है?

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कौन-सा विकल्प समांतर श्रेढ़ी की सही विशेषता बताता है?

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