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Class 10 Mathematics - Arithmetic Progressions (AP) - Introduction to APs and common difference. Easy Quiz

Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Easy Class 10 Topic Quiz

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Question 1/150 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)

Explanation

Simple Explanation

लगातार पदों का अंतर (7-3=4) है। परीक्षा में सार्व अंतर के लिए दूसरा पद घटा पहला पद करें। / The difference of consecutive terms is (7-3=4). In exams, find common difference by subtracting the first term from the second term.

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Question 2/150 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. \(d=a_2-a_1\)

Explanation

Simple Explanation

सार्व अंतर लगातार दो पदों का अंतर होता है। इसलिए \(d=a_2-a_1\) सही है। / The common difference is the difference between two consecutive terms. Hence \(d=a_2-a_1\) is correct.

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Question 3/150 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)

Explanation

Simple Explanation

यहाँ (8-10=-2) है। घटती हुई समांतर श्रेढ़ी में सार्व अंतर ऋणात्मक हो सकता है। / Here (8-10=-2). In a decreasing arithmetic progression, the common difference can be negative.

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Question 4/150 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. \(5,10,15,20,\ldots\)

Explanation

Simple Explanation

\(5,10,15,20,\ldots\) में हर बार (5) जुड़ता है। समान अंतर वाली श्रेढ़ी समांतर श्रेढ़ी होती है। / In \(5,10,15,20,\ldots\), (5) is added each time. A sequence with equal differences is an arithmetic progression.

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Question 5/150 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)

Explanation

Simple Explanation

लगातार पदों का अंतर (6-6=0) है। समान पदों वाला अनुक्रम भी सार्व अंतर (0) के साथ समांतर श्रेढ़ी होता है। / The difference of consecutive terms is (6-6=0). A constant sequence is also an arithmetic progression with common difference (0).

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Question 6/150 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)

Explanation

Simple Explanation

समांतर श्रेढ़ी का प्रथम पद पहला लिखा हुआ पद होता है। यहाँ प्रथम पद (12) है। / The first term of an arithmetic progression is the first written term. Here the first term is (12).

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Question 7/150 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)

Explanation

Simple Explanation

यहाँ सार्व अंतर (5) है। इसलिए (14+5=19) होगा। / The common difference is (5). Therefore, (14+5=19).

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Question 8/150 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. \(2,5,9,14,\ldots\)

Explanation

Simple Explanation

\(2,5,9,14,\ldots\) में अंतर (3,4,5) हैं। अंतर समान न हो तो अनुक्रम समांतर श्रेढ़ी नहीं होता। / In \(2,5,9,14,\ldots\), the differences are (3,4,5). If differences are not equal, the sequence is not an arithmetic progression.

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Question 9/150 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)

Explanation

Simple Explanation

दूसरा पद (a+d) होता है। इसलिए (5+3=8) है। / The second term is (a+d). Therefore, (5+3=8).

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Question 10/150 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)

Explanation

Simple Explanation

लगातार पदों में (1-(-3)=4) है। ऋणात्मक पद होने पर भी वही नियम लागू होता है। / For consecutive terms, (1-(-3)=4). The same rule applies even when a term is negative.

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Question 11/150 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)

Explanation

Simple Explanation

यहाँ (20-25=-5) है। सार्व अंतर में चिन्ह का ध्यान रखना जरूरी है। / Here (20-25=-5). It is important to take care of the sign in the common difference.

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Question 12/150 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)

Explanation

Simple Explanation

हर बार (7) जोड़ने का अर्थ सार्व अंतर (7) है। ऐसी श्रेढ़ी समांतर श्रेढ़ी होगी। / Adding (7) each time means the common difference is (7). Such a sequence will be an arithmetic progression.

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Question 13/150 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)

Explanation

Simple Explanation

लगातार पदों का अंतर (2.0-1.5=0.5) है। दशमलव पदों में भी समान अंतर जाँचना होता है। / The difference of consecutive terms is (2.0-1.5=0.5). Even for decimal terms, equal differences must be checked.

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Question 14/150 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. \(\frac{1}{2}\)

Explanation

Simple Explanation

यहाँ \(1-\frac{1}{2}=\frac{1}{2}\) है। भिन्नों में भी सार्व अंतर लगातार पदों से ही निकलेगा। / Here \(1-\frac{1}{2}=\frac{1}{2}\). For fractions also, the common difference is found from consecutive terms.

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Question 15/150 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. \(4,7,10,13,\ldots\)

Explanation

Simple Explanation

\(4,7,10,13,\ldots\) में हर बार (3) जुड़ता है। इसलिए इसका सार्व अंतर (3) है। / In \(4,7,10,13,\ldots\), (3) is added each time. Hence its common difference is (3).

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Question 16/150 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)

Explanation

Simple Explanation

लगातार पदों का अंतर ((a+2)-a=2) है। अक्षर वाले पदों में भी घटाकर अंतर निकालें। / The difference of consecutive terms is ((a+2)-a=2). For algebraic terms also, subtract to find the difference.

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Question 17/150 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)

Explanation

Simple Explanation

यहाँ सार्व अंतर (-3) है। इसलिए अगला पद (21-3=18) होगा। / The common difference is (-3). Therefore, the next term is (21-3=18).

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Question 18/150 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)

Explanation

Simple Explanation

तीसरा लिखा हुआ पद (8) है। आसान प्रश्नों में पद की स्थिति ध्यान से गिनें। / The third written term is (8). In easy questions, count the position of the term carefully.

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Question 19/150 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

Explanation

Simple Explanation

समांतर श्रेढ़ी में लगातार पदों का अंतर स्थिर होता है। यही इसकी मुख्य पहचान है। / In an arithmetic progression, the difference between consecutive terms is constant. This is its main identity.

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Question 20/150 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

Explanation

Simple Explanation

अंतर (3,6,12) हैं जो समान नहीं हैं। इसलिए यह समांतर श्रेढ़ी नहीं है। / The differences are (3,6,12), which are not equal. Hence it is not an arithmetic progression.

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Question 21/150 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)

Explanation

Simple Explanation

दूसरा पद (a+d=9+(-2)=7) है। ऋणात्मक अंतर जोड़ते समय चिन्ह सावधानी से लगाएँ। / The second term is (a+d=9+(-2)=7). Use signs carefully while adding a negative difference.

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Question 22/150 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)

Explanation

Simple Explanation

यहाँ (90-100=-10) है। घटते अनुक्रम में उत्तर को धनात्मक न मान लें। / Here (90-100=-10). Do not take the answer as positive in a decreasing sequence.

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Question 23/150 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. \(6,10,14,18,\ldots\)

Explanation

Simple Explanation

पहले दिन (6) और हर दिन (4) अधिक है। इसलिए अनुक्रम \(6,10,14,18,\ldots\) होगा। / The first day has (6), and (4) more are planted each day. Hence the sequence is \(6,10,14,18,\ldots\).

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Question 24/150 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)

Explanation

Simple Explanation

चौथा पद सीधे (26) है। पद क्रम गिनते समय पहला पद (14) से शुरू करें। / The fourth term is directly (26). While counting positions, start from the first term (14).

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Question 25/150 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. \(20,16,12,8,\ldots\)

Explanation

Simple Explanation

\(20,16,12,8,\ldots\) में हर बार (4) घटता है। इसलिए सार्व अंतर (-4) है। / In \(20,16,12,8,\ldots\), (4) is subtracted each time. Therefore, the common difference is (-4).

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Question 26/150 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)

Explanation

Simple Explanation

लगातार पदों का अंतर (3-0=3) है। पहला पद (0) हो सकता है फिर भी श्रेढ़ी समांतर हो सकती है। / The difference of consecutive terms is (3-0=3). The first term can be (0), and the sequence can still be an arithmetic progression.

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Question 27/150 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)

Explanation

Simple Explanation

पहला पद (a=11) और सार्व अंतर (15-11=4) है। क्रमशः पूछे गए मानों का क्रम ध्यान रखें। / The first term is (a=11) and the common difference is (15-11=4). Keep the asked order of values in mind.

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Question 28/150 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

Explanation

Simple Explanation

(d=0) का अर्थ है कि कोई बदलाव नहीं हो रहा। इसलिए सभी पद समान होंगे। / (d=0) means there is no change between terms. Therefore, all terms will be equal.

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Question 29/150 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)

Explanation

Simple Explanation

यहाँ सार्व अंतर (5) है। चौथे पद (17) में (5) जोड़ने पर पाँचवाँ पद (22) मिलता है। / The common difference is (5). Adding (5) to the fourth term (17) gives the fifth term (22).

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Question 30/150 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. \(3,8,13,18,\ldots\)

Explanation

Simple Explanation

\(3,8,13,18,\ldots\) में अंतर हमेशा (5) है। इसलिए यह समांतर श्रेढ़ी है। / In \(3,8,13,18,\ldots\), the difference is always (5). Hence it is an arithmetic progression.

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Question 31/150 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)

Explanation

Simple Explanation

यहाँ (-6-(-10)=4) है। ऋणात्मक संख्याओं के साथ घटाव सावधानी से करें। / Here (-6-(-10)=4). Subtract carefully when negative numbers are involved.

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Question 32/150 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)

Explanation

Simple Explanation

सार्व अंतर दूसरा पद घटा पहला पद होता है। इसलिए (23-18=5)। / The common difference is the second term minus the first term. Therefore, (23-18=5).

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Question 33/150 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

Explanation

Simple Explanation

इसके अंतर (4,5,6) हैं। समान अंतर न होने से यह समांतर श्रेढ़ी नहीं है। / Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.

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Question 34/150 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)

Explanation

Simple Explanation

हर अगला पद पिछले पद से (3) अधिक है। यही इस श्रेढ़ी का सार्व अंतर है। / Each next term is (3) greater than the previous term. This is the common difference of the sequence.

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Question 35/150 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)

Explanation

Simple Explanation

पहला पद (2) है और हर बार (5) जोड़ना है। इसलिए पहले तीन पद (2,7,12) हैं। / The first term is (2), and (5) is added each time. Therefore, the first three terms are (2,7,12).

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Question 36/150 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. \(9,11,13,15,\ldots\)

Explanation

Simple Explanation

पहला पद (9) है और हर बार (2) जोड़ना है। इसलिए सही अनुक्रम \(9,11,13,15,\ldots\) है। / The first term is (9), and (2) is added each time. Hence the correct sequence is \(9,11,13,15,\ldots\).

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Question 37/150 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)

Explanation

Simple Explanation

यहाँ सार्व अंतर (-5) है। इसलिए (25-5=20) और (20-5=15)। / The common difference is (-5). Therefore, (25-5=20) and (20-5=15).

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Question 38/150 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)

Explanation

Simple Explanation

लिखे हुए पद (18,21,24,27) हैं। (30) अगला पद हो सकता है पर दिए गए पदों में नहीं है। / The written terms are (18,21,24,27). (30) can be the next term but is not among the given terms.

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Question 39/150 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

Explanation

Simple Explanation

सभी पद समान हैं इसलिए (d=0) है। इसे समान पदों वाली समांतर श्रेढ़ी कह सकते हैं। / All terms are equal, so (d=0). It can be called an arithmetic progression with constant terms.

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Question 40/150 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)

Explanation

Simple Explanation

हर अगली पंक्ति में (2) सीटें बढ़ती हैं। इसलिए सार्व अंतर (2) है। / Each next row increases by (2) seats. Therefore, the common difference is (2).

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Question 41/150 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)

Explanation

Simple Explanation

हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा। / Each next term is (5) less than the previous term. Its common difference will be (-5).

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Question 42/150 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. \(\frac{1}{2}\)

Explanation

Simple Explanation

\(\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}\) है। समान हर वाले भिन्नों में अंश घटाएँ। / \(\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}\). For fractions with the same denominator, subtract the numerators.

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Question 43/150 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)

Explanation

Simple Explanation

\(d=a_2-a_1=10-16=-6\) है। दूसरे पद से पहला पद ही घटाएँ। / \(d=a_2-a_1=10-16=-6\). Always subtract the first term from the second term.

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Question 44/150 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

Explanation

Simple Explanation

लगातार पदों का अंतर समान (2) है। इसलिए यह समांतर श्रेढ़ी है। / The difference between consecutive terms is the same (2). Therefore, it is an arithmetic progression.

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Question 45/150 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

Explanation

Simple Explanation

धनात्मक (d) का अर्थ हर बार कुछ जोड़ना है। इसलिए पद बढ़ते हैं। / Positive (d) means something is added each time. Therefore, the terms increase.

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Question 46/150 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

Explanation

Simple Explanation

ऋणात्मक (d) का अर्थ हर बार घटाना है। इसलिए पद घटते हैं। / Negative (d) means subtraction occurs each time. Therefore, the terms decrease.

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Question 47/150 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

Explanation

Simple Explanation

लिखे क्रम में (7) पहला और (10) दूसरा पद है। पद संख्या निकालते समय शुरुआत से गिनें। / In the written order, (7) is the first term and (10) is the second term. Count from the beginning to find the term position.

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Question 48/150 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)

Explanation

Simple Explanation

(28-31=-3) है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखा जाता है। / (28-31=-3). In a decreasing progression, the common difference is written as negative.

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Question 49/150 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)

Explanation

Simple Explanation

सार्व अंतर (9-4=5) है। अगले पद से पहले पद को घटाकर (d) निकालें। / The common difference is (9-4=5). Find (d) by subtracting the first term from the next term.

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Question 50/150 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. \(8,8,8,8,\ldots\)

Explanation

Simple Explanation

\(8,8,8,8,\ldots\) में हर अंतर (0) है। इसलिए यह (d=0) वाली समांतर श्रेढ़ी है। / In \(8,8,8,8,\ldots\), every difference is (0). Hence it is an arithmetic progression with (d=0).

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Question 51/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किसी सूची में क्रमागत पदों का अंतर समान हो तो उस सूची को क्या कहते हैं?

What is a list called when the difference between consecutive terms is constant?

Explanation opens after your attempt
Correct Answer

A. अंकगणितीय श्रेणीArithmetic progression

Explanation

Simple Explanation

क्रमागत पदों का समान अंतर अंकगणितीय श्रेणी की मुख्य पहचान है। परीक्षा में पहले अंतर जांचें। / A constant difference between consecutive terms is the key sign of an arithmetic progression. In exams first check the differences.

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Question 52/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(5,9,13,17,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(5,9,13,17,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

यहां (9-5=4) और (13-9=4) है। परीक्षा में किसी भी दो क्रमागत पदों को घटाएं। / Here (9-5=4) and (13-9=4). In exams subtract any two consecutive terms.

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Question 53/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(12,10,8,6,\ldots\) का सार्व अंतर क्या है?

What is the common difference of the sequence \(12,10,8,6,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Explanation

Simple Explanation

सार्व अंतर (10-12=-2) है। घटती श्रेणी में अंतर ऋणात्मक हो सकता है। / The common difference is (10-12=-2). A decreasing progression can have a negative difference.

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Question 54/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

क्या \(3,6,9,12,\ldots\) एक अंकगणितीय श्रेणी है?

Is \(3,6,9,12,\ldots\) an arithmetic progression?

Explanation opens after your attempt
Correct Answer

B. हां क्योंकि सार्व अंतर (3) हैYes because common difference is (3)

Explanation

Simple Explanation

हर बार (3) जोड़ा जा रहा है इसलिए यह अंकगणितीय श्रेणी है। समान अंतर ही मुख्य कसौटी है। / Each time (3) is added so it is an arithmetic progression. Equal difference is the main test.

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Question 55/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(2,5,10,17,\ldots\) के बारे में सही कथन कौन सा है?

Which statement is correct about the sequence \(2,5,10,17,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. यह अंकगणितीय श्रेणी नहीं हैIt is not an arithmetic progression

Explanation

Simple Explanation

अंतर (3,5,7) हैं जो समान नहीं हैं। परीक्षा में केवल पद नहीं बल्कि उनके अंतर देखें। / The differences are (3,5,7) which are not equal. In exams check differences not only terms.

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Question 56/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि किसी अंकगणितीय श्रेणी का पहला पद (7) और सार्व अंतर (2) है तो दूसरा पद क्या होगा?

If the first term of an arithmetic progression is (7) and the common difference is (2), what is the second term?

Explanation opens after your attempt
Correct Answer

D. (9)

Explanation

Simple Explanation

दूसरा पद (7+2=9) होगा। अगला पद पाने के लिए सार्व अंतर जोड़ें। / The second term is (7+2=9). Add the common difference to get the next term.

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Question 57/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(20,15,10,5,\ldots\) में पहला पद और सार्व अंतर क्रमशः क्या हैं?

In the sequence \(20,15,10,5,\ldots\), what are the first term and common difference respectively?

Explanation opens after your attempt
Correct Answer

A. (20) और (-5)(20) and (-5)

Explanation

Simple Explanation

पहला पद (20) है और (15-20=-5) है। क्रमशः पूछे जाने पर क्रम का ध्यान रखें। / The first term is (20) and (15-20=-5). When asked respectively keep the order in mind.

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Question 58/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (a=4) और (d=6) है तो अंकगणितीय श्रेणी के पहले तीन पद कौन से हैं?

If (a=4) and (d=6), what are the first three terms of the arithmetic progression?

Explanation opens after your attempt
Correct Answer

B. (4,10,16)

Explanation

Simple Explanation

पहले तीन पद (4,4+6,4+12) हैं। पद बनाते समय हर बार (d) जोड़ें। / The first three terms are (4,4+6,4+12). Add (d) each time while forming terms.

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Question 59/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(1,4,7,10,\ldots\) में कौन सा पद अगला होगा?

What will be the next term in the sequence \(1,4,7,10,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

सार्व अंतर (3) है इसलिए अगला पद (10+3=13) होगा। अगला पद हमेशा पिछले पद में (d) जोड़कर मिलता है। / The common difference is (3), so the next term is (10+3=13). The next term is found by adding (d) to the previous term.

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Question 60/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(-3,0,3,6,\ldots\) का सार्व अंतर क्या है?

What is the common difference of the sequence \(-3,0,3,6,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

सार्व अंतर (0-(-3)=3) है। ऋणात्मक पदों में घटाव सावधानी से करें। / The common difference is (0-(-3)=3). Be careful while subtracting negative terms.

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Question 61/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि सार्व अंतर (0) हो तो अंकगणितीय श्रेणी कैसी होती है?

If the common difference is (0), what type of arithmetic progression is formed?

Explanation opens after your attempt
Correct Answer

A. सभी पद समान होते हैंAll terms are equal

Explanation

Simple Explanation

(d=0) होने पर प्रत्येक अगला पद पहले जैसा रहता है। यह भी अंकगणितीय श्रेणी हो सकती है। / When (d=0), each next term remains the same. This can also be an arithmetic progression.

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Question 62/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

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

What is the common difference in the sequence \(8,8,8,8,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (0)

Explanation

Simple Explanation

सार्व अंतर (8-8=0) है। समान पदों वाली श्रेणी में अंतर (0) होता है। / The common difference is (8-8=0). A sequence with equal terms has difference (0).

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Question 63/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक अंकगणितीय श्रेणी में (d) किसे दर्शाता है?

In an arithmetic progression, what does (d) represent?

Explanation opens after your attempt
Correct Answer

C. सार्व अंतरCommon difference

Explanation

Simple Explanation

(d) सार्व अंतर को दर्शाता है। परीक्षा में (a) और (d) की पहचान अलग रखें। / (d) represents the common difference. In exams identify (a) and (d) separately.

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Question 64/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक अंकगणितीय श्रेणी में (a) सामान्यतः किसे दर्शाता है?

In an arithmetic progression, what does (a) usually represent?

Explanation opens after your attempt
Correct Answer

D. पहला पदFirst term

Explanation

Simple Explanation

(a) सामान्यतः पहला पद होता है। सूत्र लगाने से पहले (a) और (d) पहचानें। / (a) usually represents the first term. Identify (a) and (d) before using formulas.

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Question 65/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(4,7,10,13,\ldots\) में (d) का मान क्या है?

What is the value of (d) in the sequence \(4,7,10,13,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (3)

Explanation

Simple Explanation

यहां (d=7-4=3) है। (d) हमेशा दूसरा पद घटा पहला पद से निकालें। / Here (d=7-4=3). Find (d) by subtracting the first term from the second term.

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Question 66/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(11,14,17,20,\ldots\) में (a) का मान क्या है?

What is the value of (a) in the sequence \(11,14,17,20,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (11)

Explanation

Simple Explanation

पहला पद (11) है इसलिए (a=11) है। (a) के लिए सूची का पहला पद देखें। / The first term is (11), so (a=11). For (a), look at the first term of the list.

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Question 67/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(6,12,18,24,\ldots\) में चौथा पद क्या है?

What is the fourth term in the sequence \(6,12,18,24,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

दिए गए पदों में चौथा पद (24) है। क्रम गिनते समय पहला पद (6) से शुरू करें। / The fourth term in the given terms is (24). Start counting from (6) as the first term.

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Question 68/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(9,7,5,3,\ldots\) में तीसरा पद क्या है?

What is the third term in the sequence \(9,7,5,3,\ldots\)?

Explanation opens after your attempt
Correct Answer

D. (5)

Explanation

Simple Explanation

पद क्रम से (9,7,5,3) हैं इसलिए तीसरा पद (5) है। पद संख्या गिनने में जल्दबाजी न करें। / The terms are (9,7,5,3), so the third term is (5). Do not rush while counting term positions.

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Question 69/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि किसी अंकगणितीय श्रेणी में (a=10) और (d=-1) है तो पहले चार पद कौन से हैं?

If an arithmetic progression has (a=10) and (d=-1), what are the first four terms?

Explanation opens after your attempt
Correct Answer

A. (10,9,8,7)

Explanation

Simple Explanation

हर बार (-1) जोड़ने पर (10,9,8,7) मिलता है। ऋणात्मक (d) का अर्थ घटते पद हैं। / Adding (-1) each time gives (10,9,8,7). Negative (d) means the terms decrease.

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Question 70/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

निम्न में से किस अनुक्रम का सार्व अंतर (7) है?

Which of the following sequences has common difference (7)?

Explanation opens after your attempt
Correct Answer

B. \(2,9,16,23,\ldots\)

Explanation

Simple Explanation

(9-2=7), (16-9=7) और (23-16=7) हैं। सभी क्रमागत अंतर समान होने चाहिए। / (9-2=7), (16-9=7), and (23-16=7). All consecutive differences must be equal.

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Question 71/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(100,90,80,70,\ldots\) में सार्व अंतर कितना है?

What is the common difference in the sequence \(100,90,80,70,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (-10)

Explanation

Simple Explanation

सार्व अंतर (90-100=-10) है। घटते अनुक्रम में उत्तर का चिह्न जरूर देखें। / The common difference is (90-100=-10). In a decreasing sequence carefully check the sign.

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Question 72/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

कौन सा कथन अंकगणितीय श्रेणी के लिए सही है?

Which statement is true for an arithmetic progression?

Explanation opens after your attempt
Correct Answer

D. हर अगला पद पिछले पद में समान संख्या जोड़कर मिलता हैEach next term is obtained by adding the same number to the previous term

Explanation

Simple Explanation

अंकगणितीय श्रेणी में समान संख्या जोड़ी जाती है। यही संख्या सार्व अंतर कहलाती है। / In an arithmetic progression the same number is added. This number is called the common difference.

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Question 73/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(15,18,21,24,\ldots\) में (a) और (d) क्रमशः क्या हैं?

In the sequence \(15,18,21,24,\ldots\), what are (a) and (d) respectively?

Explanation opens after your attempt
Correct Answer

A. (15) और (3)(15) and (3)

Explanation

Simple Explanation

पहला पद (15) है और (18-15=3) है। क्रमशः का अर्थ उसी क्रम में उत्तर देना है। / The first term is (15) and (18-15=3). Respectively means answer in the same order.

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Question 74/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

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)

Explanation

Simple Explanation

सार्व अंतर (5) है इसलिए (15+5=20) होगा। शून्य पहला पद हो सकता है। / The common difference is (5), so (15+5=20). Zero can be the first term.

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Question 75/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(1,3,6,10,\ldots\) अंकगणितीय श्रेणी क्यों नहीं है?

Why is \(1,3,6,10,\ldots\) not an arithmetic progression?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

अंतर (2,3,4) हैं जो समान नहीं हैं। बढ़ते पद होने से ही अंकगणितीय श्रेणी नहीं बनती। / The differences are (2,3,4), which are not equal. Increasing terms alone do not make an arithmetic progression.

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Question 76/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (a=2) और पहला अगला पद (5) है तो (d) क्या है?

If (a=2) and the next term is (5), what is (d)?

Explanation opens after your attempt
Correct Answer

D. (3)

Explanation

Simple Explanation

सार्व अंतर (5-2=3) है। दूसरे पद में से पहले पद को घटाएं। / The common difference is (5-2=3). Subtract the first term from the second term.

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Question 77/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

निम्न में से कौन सा अनुक्रम घटती अंकगणितीय श्रेणी है?

Which of the following is a decreasing arithmetic progression?

Explanation opens after your attempt
Correct Answer

A. \(50,45,40,35,\ldots\)

Explanation

Simple Explanation

\(50,45,40,35,\ldots\) में समान अंतर (-5) है। घटती अंकगणितीय श्रेणी का (d) ऋणात्मक होता है। / In \(50,45,40,35,\ldots\), the equal difference is (-5). A decreasing arithmetic progression has negative (d).

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Question 78/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(2.5,3.0,3.5,4.0,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(2.5,3.0,3.5,4.0,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (0.5)

Explanation

Simple Explanation

सार्व अंतर (3.0-2.5=0.5) है। दशमलव पदों में भी वही नियम लागू होता है। / The common difference is (3.0-2.5=0.5). The same rule applies to decimal terms.

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Question 79/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

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

What is the common difference in the sequence \(\frac{1}{2},1,\frac{3}{2},2,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{1}{2}\)

Explanation

Simple Explanation

सार्व अंतर \(1-\frac{1}{2}=\frac{1}{2}\) है। भिन्नों में भी क्रमागत पद घटाएं। / The common difference is \(1-\frac{1}{2}=\frac{1}{2}\). For fractions also subtract consecutive terms.

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Question 80/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किसी अंकगणितीय श्रेणी \(a,a+d,a+2d,\ldots\) में दूसरा पद कौन सा है?

In an arithmetic progression \(a,a+d,a+2d,\ldots\), which is the second term?

Explanation opens after your attempt
Correct Answer

D. (a+d)

Explanation

Simple Explanation

दूसरा पद (a+d) होता है। सामान्य रूप में पदों का क्रम याद रखें। / The second term is (a+d). Remember the order of terms in the general form.

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Question 81/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किसी अंकगणितीय श्रेणी \(a,a+d,a+2d,\ldots\) में तीसरा पद कौन सा है?

In an arithmetic progression \(a,a+d,a+2d,\ldots\), which is the third term?

Explanation opens after your attempt
Correct Answer

A. (a+2d)

Explanation

Simple Explanation

तीसरा पद (a+2d) है। पद संख्या बढ़ने पर (d) का गुणांक बढ़ता है। / The third term is (a+2d). As the term number increases the coefficient of (d) increases.

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Question 82/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक अंकगणितीय श्रेणी \(4,4.5,5,5.5,\ldots\) में अगला पद क्या होगा?

What is the next term in the arithmetic progression \(4,4.5,5,5.5,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

सार्व अंतर (0.5) है इसलिए (5.5+0.5=6) होगा। दशमलव में जोड़ सावधानी से करें। / The common difference is (0.5), so (5.5+0.5=6). Add decimals carefully.

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Question 83/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(3,3,3,3,\ldots\) के बारे में सही कथन क्या है?

Which statement is correct about the sequence \(3,3,3,3,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. यह अंकगणितीय श्रेणी है और (d=0) हैIt is an arithmetic progression and (d=0)

Explanation

Simple Explanation

सभी पद समान हैं इसलिए सार्व अंतर (0) है। स्थिर अनुक्रम भी अंकगणितीय श्रेणी होता है। / All terms are equal, so the common difference is (0). A constant sequence is also an arithmetic progression.

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Question 84/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(14,11,8,5,\ldots\) में (d) का मान क्या है?

What is the value of (d) in the sequence \(14,11,8,5,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (-3)

Explanation

Simple Explanation

(d=11-14=-3) है। ऋण चिह्न उत्तर का जरूरी भाग है। / (d=11-14=-3). The negative sign is an important part of the answer.

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Question 85/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक सीढ़ी पर हर अगला डंडा पिछले से (6) सेमी ऊंचा है। ऊंचाइयां \(10,16,22,28,\ldots\) हैं तो यह क्या बनाती हैं?

On a ladder, each next rung is (6) cm higher than the previous one. The heights are \(10,16,22,28,\ldots\). What do they form?

Explanation opens after your attempt
Correct Answer

D. अंकगणितीय श्रेणीArithmetic progression

Explanation

Simple Explanation

हर बार (6) की समान वृद्धि है इसलिए यह अंकगणितीय श्रेणी है। शब्द प्रश्न में समान वृद्धि खोजें। / There is an equal increase of (6) each time, so it is an arithmetic progression. In word problems look for equal increase.

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Question 86/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि बचत राशि हर सप्ताह (50) रुपये बढ़ती है और राशियां \(100,150,200,250,\ldots\) हैं तो सार्व अंतर क्या है?

If savings increase by (50) rupees every week and the amounts are \(100,150,200,250,\ldots\), what is the common difference?

Explanation opens after your attempt
Correct Answer

A. (50)

Explanation

Simple Explanation

क्रमागत अंतर (150-100=50) है। वास्तविक जीवन के प्रश्नों में समान बढ़ोतरी ही (d) होती है। / The consecutive difference is (150-100=50). In real-life questions the equal increase is (d).

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Question 87/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक पौधे की ऊंचाई हर दिन (2) सेमी बढ़ती है। ऊंचाइयां \(12,14,16,18,\ldots\) हैं तो चौथे दिन की ऊंचाई क्या है?

A plant grows (2) cm every day. The heights are \(12,14,16,18,\ldots\). What is the height on the fourth day?

Explanation opens after your attempt
Correct Answer

C. (18) सेमी(18) cm

Explanation

Simple Explanation

सूची में चौथा पद (18) है। दिन और पद संख्या को साथ मिलाकर गिनें। / The fourth term in the list is (18). Count the day and term position together.

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Question 88/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि टिकटों की कीमतें \(40,45,50,55,\ldots\) हैं तो कीमतों का सार्व अंतर क्या है?

If ticket prices are \(40,45,50,55,\ldots\), what is the common difference of the prices?

Explanation opens after your attempt
Correct Answer

D. (5)

Explanation

Simple Explanation

(45-40=5) है और आगे भी यही अंतर है। कीमतों में समान वृद्धि (d) होती है। / (45-40=5), and the same difference continues. The equal increase in prices is (d).

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Question 89/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(6,10,14,18,\ldots\) में दूसरा और तीसरा पद का अंतर क्या है?

What is the difference between the second and third terms in \(6,10,14,18,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Explanation

Simple Explanation

दूसरा पद (10) और तीसरा पद (14) है इसलिए अंतर (14-10=4) है। यह (d) के बराबर है। / The second term is (10) and the third term is (14), so the difference is (14-10=4). It equals (d).

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Question 90/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

कौन सा अनुक्रम (d=-4) वाली अंकगणितीय श्रेणी है?

Which sequence is an arithmetic progression with (d=-4)?

Explanation opens after your attempt
Correct Answer

B. \(18,14,10,6,\ldots\)

Explanation

Simple Explanation

(14-18=-4), (10-14=-4) और (6-10=-4) हैं। सभी अंतर (-4) होने चाहिए। / (14-18=-4), (10-14=-4), and (6-10=-4). All differences must be (-4).

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Question 91/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि अनुक्रम \(x, x+5, x+10,\ldots\) है तो सार्व अंतर क्या है?

If the sequence is \(x, x+5, x+10,\ldots\), what is the common difference?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

सार्व अंतर ((x+5)-x=5) है। अक्षर वाले पदों में भी दूसरा पद घटा पहला पद करें। / The common difference is ((x+5)-x=5). For algebraic terms also subtract the first term from the second.

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Question 92/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(2p,2p+3,2p+6,\ldots\) में (d) क्या है?

What is (d) in the sequence \(2p,2p+3,2p+6,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

(d=(2p+3)-2p=3) है। समान जोड़ी गई संख्या ही सार्व अंतर है। / (d=(2p+3)-2p=3). The equal number added is the common difference.

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Question 93/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किस विकल्प में लगातार अंतर समान नहीं है?

In which option are the consecutive differences not equal?

Explanation opens after your attempt
Correct Answer

D. \(2,4,7,11,\ldots\)

Explanation

Simple Explanation

\(2,4,7,11,\ldots\) में अंतर (2,3,4) हैं। अंकगणितीय श्रेणी पहचानने के लिए सभी अंतर समान होने चाहिए। / In \(2,4,7,11,\ldots\), the differences are (2,3,4). To identify an arithmetic progression all differences must be equal.

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Question 94/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(-10,-7,-4,-1,\ldots\) में अगला पद क्या है?

What is the next term in the sequence \(-10,-7,-4,-1,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (2)

Explanation

Simple Explanation

सार्व अंतर (3) है इसलिए (-1+3=2) होगा। ऋणात्मक और धनात्मक में बदलते समय चिह्न संभालें। / The common difference is (3), so (-1+3=2). Handle signs carefully when moving from negative to positive.

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Question 95/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (d=4) और पहला पद (1) है तो दूसरा पद क्या होगा?

If (d=4) and the first term is (1), what will be the second term?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

दूसरा पद (1+4=5) होगा। पहले पद में सार्व अंतर जोड़ें। / The second term is (1+4=5). Add the common difference to the first term.

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Question 96/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(25,30,35,40,\ldots\) में कितनी समान वृद्धि है?

How much equal increase is there in the sequence \(25,30,35,40,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

हर अगला पद पिछले से (5) अधिक है। समान वृद्धि ही (d) कहलाती है। / Each next term is (5) more than the previous one. The equal increase is called (d).

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Question 97/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(16,12,8,4,\ldots\) में कितनी समान कमी है?

How much equal decrease is there in the sequence \(16,12,8,4,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

हर अगला पद (4) कम है इसलिए समान कमी (4) है। लेकिन (d) के रूप में यह (-4) होगा। / Each next term is (4) less, so the equal decrease is (4). But as (d), it is (-4).

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Question 98/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (a=9) और (d=0) है तो पहले तीन पद कौन से होंगे?

If (a=9) and (d=0), what will be the first three terms?

Explanation opens after your attempt
Correct Answer

C. (9,9,9)

Explanation

Simple Explanation

(d=0) होने पर पद बदलते नहीं हैं। इसलिए सभी पहले तीन पद (9) होंगे। / When (d=0), terms do not change. Therefore all first three terms will be (9).

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Question 99/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक बस हर स्टॉप पर (8) मिनट के अंतर से पहुंचती है। समय \(6,14,22,30,\ldots\) मिनट हैं तो यह किस प्रकार का अनुक्रम है?

A bus reaches each stop at intervals of (8) minutes. The times are \(6,14,22,30,\ldots\) minutes. What type of sequence is this?

Explanation opens after your attempt
Correct Answer

A. अंकगणितीय श्रेणीArithmetic progression

Explanation

Simple Explanation

हर क्रमागत समय में (8) का समान अंतर है इसलिए यह अंकगणितीय श्रेणी है। शब्द प्रश्न में समान अंतर को पहचानें। / Each consecutive time has the same difference of (8), so it is an arithmetic progression. In word problems identify the equal difference.

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Question 100/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(7,11,15,19,\ldots\) में पहले दो पदों से सार्व अंतर कैसे मिलेगा?

How will the common difference be found from the first two terms of \(7,11,15,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (11-7=4)

Explanation

Simple Explanation

सार्व अंतर दूसरा पद घटा पहला पद होता है इसलिए (11-7=4) है। परीक्षा में घटाव का क्रम न बदलें। / The common difference is second term minus first term, so (11-7=4). In exams do not reverse the order of subtraction.

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Question 101/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(4,8,12,16,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(4,8,12,16,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

लगातार पदों का अंतर (8-4=4) है। परीक्षा में (d) के लिए दूसरा पद घटा पहला पद करें। / The difference of consecutive terms is (8-4=4). In exams, find (d) by subtracting the first term from the second term.

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Question 102/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(15,12,9,6,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(15,12,9,6,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (-3)

Explanation

Simple Explanation

यहाँ (12-15=-3) है। घटती समांतर श्रेढ़ी में सार्व अंतर ऋणात्मक होता है। / Here (12-15=-3). In a decreasing arithmetic progression, the common difference is negative.

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Question 103/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(9,9,9,9,\ldots\) में सार्व अंतर क्या है?

What is the common difference in \(9,9,9,9,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

लगातार पदों का अंतर (9-9=0) है। समान पदों वाली श्रेढ़ी भी (d=0) वाली समांतर श्रेढ़ी है। / The difference of consecutive terms is (9-9=0). A constant sequence is also an arithmetic progression with (d=0).

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Question 104/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(6,13,20,27,\ldots\) का प्रथम पद क्या है?

What is the first term of the arithmetic progression \(6,13,20,27,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

पहला लिखा हुआ पद ही प्रथम पद (a) होता है। यहाँ (a=6) है। / The first written term is the first term (a). Here (a=6).

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Question 105/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(5,11,17,\Box,29,\ldots\) में \(\Box\) का मान क्या है?

In the sequence \(5,11,17,\Box,29,\ldots\), what is the value of \(\Box\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Explanation

Simple Explanation

यहाँ सार्व अंतर (6) है। इसलिए (17+6=23) होगा। / The common difference is (6). Therefore, (17+6=23).

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Question 106/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=7) और (d=4) है, तो दूसरा पद क्या होगा?

If (a=7) and (d=4), what is the second term?

Explanation opens after your attempt
Correct Answer

A. (11)

Explanation

Simple Explanation

दूसरा पद (a+d) होता है। इसलिए (7+4=11) सही है। / The second term is (a+d). So (7+4=11) is correct.

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Question 107/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(-8,-3,2,7,\ldots\) में सार्व अंतर क्या है?

What is the common difference in \(-8,-3,2,7,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

यहाँ (-3-(-8)=5) है। ऋणात्मक पदों में घटाव करते समय चिन्ह ध्यान रखें। / Here (-3-(-8)=5). Take care of signs while subtracting negative terms.

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Question 108/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(44,40,36,32,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(44,40,36,32,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

लगातार पदों का अंतर (40-44=-4) है। घटते अनुक्रम में (d) को धनात्मक न लिखें। / The difference of consecutive terms is (40-44=-4). Do not write (d) as positive in a decreasing sequence.

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Question 109/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि हर अगला पद पिछले पद से (9) अधिक है, तो सार्व अंतर क्या है?

If every next term is (9) more than the previous term, what is the common difference?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

हर बार (9) अधिक होने का अर्थ (d=9) है। यही समांतर श्रेढ़ी की पहचान है। / Being (9) more each time means (d=9). This is the identity of an arithmetic progression.

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Question 110/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(2.2,2.8,3.4,4.0,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(2.2,2.8,3.4,4.0,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (0.6)

Explanation

Simple Explanation

लगातार पदों का अंतर (2.8-2.2=0.6) है। दशमलव में भी वही घटाव नियम लागू होता है। / The difference of consecutive terms is (2.8-2.2=0.6). The same subtraction rule applies to decimals.

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Question 111/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

\(\frac{5}{3}-\frac{2}{3}=1\) है। समान हर वाले भिन्नों में अंशों का अंतर देखें। / \(\frac{5}{3}-\frac{2}{3}=1\). For fractions with the same denominator, check the difference of numerators.

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Question 112/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

कौन-सा अनुक्रम (d=-2) वाली समांतर श्रेढ़ी है?

Which sequence is an arithmetic progression with (d=-2)?

Explanation opens after your attempt
Correct Answer

B. \(18,16,14,12,\ldots\)

Explanation

Simple Explanation

\(18,16,14,12,\ldots\) में हर बार (2) घटता है। इसलिए (d=-2) है। / In \(18,16,14,12,\ldots\), (2) is subtracted each time. Hence (d=-2).

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Question 113/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि समांतर श्रेढ़ी \(b,b+5,b+10,b+15,\ldots\) है, तो सार्व अंतर क्या है?

If the arithmetic progression is \(b,b+5,b+10,b+15,\ldots\), what is the common difference?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

लगातार पदों का अंतर ((b+5)-b=5) है। अक्षर वाले पदों में भी घटाकर (d) निकालें। / The difference of consecutive terms is ((b+5)-b=5). For algebraic terms also, subtract to find (d).

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Question 114/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(7,14,21,28,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(7,14,21,28,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

यहाँ (d=7) है। इसलिए अगला पद (28+7=35) होगा। / Here (d=7). Therefore, the next term is (28+7=35).

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Question 115/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(3,9,15,21,\ldots\) में तीसरा पद कौन-सा है?

Which is the third term in the arithmetic progression \(3,9,15,21,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

लिखे क्रम में तीसरा पद (15) है। पद की स्थिति गिनते समय पहला पद न छोड़ें। / In the written order, the third term is (15). Do not skip the first term while counting positions.

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Question 116/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी की मुख्य पहचान क्या है?

What is the main identity of an arithmetic progression?

Explanation opens after your attempt
Correct Answer

B. लगातार पदों का अंतर समान होता हैThe difference of consecutive terms is equal

Explanation

Simple Explanation

समांतर श्रेढ़ी में \(a_2-a_1\) जैसा अंतर स्थिर रहता है। यही सबसे पहले जाँचना चाहिए। / In an arithmetic progression, differences like \(a_2-a_1\) remain constant. This should be checked first.

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Question 117/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(5,10,20,40,\ldots\) समांतर श्रेढ़ी क्यों नहीं है?

Why is \(5,10,20,40,\ldots\) not an arithmetic progression?

Explanation opens after your attempt
Correct Answer

C. क्योंकि लगातार अंतर (5,10,20) समान नहीं हैंBecause consecutive differences (5,10,20) are not equal

Explanation

Simple Explanation

समांतर श्रेढ़ी में सभी लगातार अंतर समान होते हैं। यहाँ अंतर समान नहीं हैं इसलिए यह समांतर श्रेढ़ी नहीं है। / In an arithmetic progression, all consecutive differences are equal. Here the differences are not equal, so it is not an arithmetic progression.

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Question 118/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=20) और (d=-5) है, तो दूसरा पद क्या होगा?

If (a=20) and (d=-5), what is the second term?

Explanation opens after your attempt
Correct Answer

A. (15)

Explanation

Simple Explanation

दूसरा पद (a+d=20+(-5)=15) है। ऋणात्मक (d) जोड़ते समय चिन्ह सावधानी से लगाएँ। / The second term is (a+d=20+(-5)=15). Use signs carefully while adding negative (d).

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Question 119/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(72,64,56,48,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(72,64,56,48,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (-8)

Explanation

Simple Explanation

यहाँ (64-72=-8) है। पहले दो पदों से ही सार्व अंतर मिल जाता है। / Here (64-72=-8). The common difference can be found from the first two terms.

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Question 120/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

एक बच्चा रोज़ (3) पेज अधिक पढ़ता है। पहले दिन (5) पेज पढ़े तो अनुक्रम क्या होगा?

A child reads (3) more pages each day. If (5) pages are read on the first day, what will be the sequence?

Explanation opens after your attempt
Correct Answer

A. \(5,8,11,14,\ldots\)

Explanation

Simple Explanation

पहला पद (5) है और हर दिन (3) जुड़ता है। इसलिए अनुक्रम \(5,8,11,14,\ldots\) होगा। / The first term is (5), and (3) is added each day. Therefore, the sequence is \(5,8,11,14,\ldots\).

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Question 121/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(16,22,28,34,\ldots\) में चौथा पद क्या है?

What is the fourth term in \(16,22,28,34,\ldots\)?

Explanation opens after your attempt
Correct Answer

D. (34)

Explanation

Simple Explanation

लिखे हुए क्रम में चौथा पद (34) है। ऐसे प्रश्न में सूत्र की जगह सीधी गिनती करें। / In the written order, the fourth term is (34). In such questions, count directly instead of using a formula.

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Question 122/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

किस अनुक्रम का सार्व अंतर (6) है?

Which sequence has common difference (6)?

Explanation opens after your attempt
Correct Answer

A. \(1,7,13,19,\ldots\)

Explanation

Simple Explanation

\(1,7,13,19,\ldots\) में हर बार (6) जुड़ता है। इसलिए (d=6) है। / In \(1,7,13,19,\ldots\), (6) is added each time. Hence (d=6).

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Question 123/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

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)

Explanation

Simple Explanation

लगातार पदों का अंतर (-4-0=-4) है। शून्य प्रथम पद होने पर भी (d) इसी तरह निकलेगा। / The difference of consecutive terms is (-4-0=-4). Even when the first term is zero, (d) is found the same way.

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Question 124/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(13,18,23,28,\ldots\) में (a) और (d) क्रमशः क्या हैं?

In \(13,18,23,28,\ldots\), what are (a) and (d) respectively?

Explanation opens after your attempt
Correct Answer

B. (a=13,\ d=5)

Explanation

Simple Explanation

पहला पद (a=13) और सार्व अंतर (18-13=5) है। क्रमशः पूछे गए मानों का क्रम न बदलें। / The first term is (a=13), and the common difference is (18-13=5). Do not change the order of asked values.

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Question 125/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (d=0) है, तो समांतर श्रेढ़ी के लगातार पदों में क्या होगा?

If (d=0), what will happen to consecutive terms of an arithmetic progression?

Explanation opens after your attempt
Correct Answer

A. वे बराबर होंगेThey will be equal

Explanation

Simple Explanation

(d=0) का अर्थ है कि लगातार पदों में कोई अंतर नहीं है। इसलिए सभी पद बराबर होंगे। / (d=0) means there is no difference between consecutive terms. Therefore, all terms will be equal.

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Question 126/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(6,10,14,18,\ldots\) में पाँचवाँ पद क्या होगा?

What will be the fifth term in \(6,10,14,18,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (22)

Explanation

Simple Explanation

यहाँ (d=4) है। पाँचवाँ पद (18+4=22) होगा। / Here (d=4). The fifth term will be (18+4=22).

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Question 127/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(-12,-7,-2,3,\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(-12,-7,-2,3,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

यहाँ (-7-(-12)=5) है। ऋणात्मक संख्याओं के साथ घटाव सही ढंग से करें। / Here (-7-(-12)=5). Subtract correctly when negative numbers are involved.

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Question 128/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि समांतर श्रेढ़ी के लगातार दो पद (26) और (31) हैं, तो सार्व अंतर क्या है?

If two consecutive terms of an arithmetic progression are (26) and (31), what is the common difference?

Explanation opens after your attempt
Correct Answer

B. (5)

Explanation

Simple Explanation

सार्व अंतर (31-26=5) है। लगातार पद दिए हों तो सीधा अंतर निकालें। / The common difference is (31-26=5). When consecutive terms are given, directly find the difference.

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Question 129/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(3,7,12,18,\ldots\) समांतर श्रेढ़ी है या नहीं?

Is the sequence \(3,7,12,18,\ldots\) an arithmetic progression or not?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

इसके अंतर (4,5,6) हैं। समान अंतर न होने के कारण यह समांतर श्रेढ़ी नहीं है। / Its differences are (4,5,6). Since the differences are not equal, it is not an arithmetic progression.

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Question 130/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(12,19,26,33,\ldots\) में प्रत्येक पद पिछले पद से कितना अधिक है?

In the arithmetic progression \(12,19,26,33,\ldots\), how much greater is each term than the previous term?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

हर अगला पद पिछले पद से (7) अधिक है। यही इस श्रेढ़ी का सार्व अंतर है। / Each next term is (7) greater than the previous term. This is the common difference of this progression.

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Question 131/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=3) और (d=8) है, तो पहले तीन पद कौन-से होंगे?

If (a=3) and (d=8), what are the first three terms?

Explanation opens after your attempt
Correct Answer

B. (3,11,19)

Explanation

Simple Explanation

पहला पद (3) है और हर बार (8) जोड़ना है। इसलिए पहले तीन पद (3,11,19) होंगे। / The first term is (3), and (8) is added each time. Therefore, the first three terms are (3,11,19).

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Question 132/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

कौन-सा अनुक्रम (a=4) और (d=6) से शुरू होता है?

Which sequence starts with (a=4) and (d=6)?

Explanation opens after your attempt
Correct Answer

A. \(4,10,16,22,\ldots\)

Explanation

Simple Explanation

पहला पद (4) है और हर बार (6) जोड़ना है। इसलिए सही अनुक्रम \(4,10,16,22,\ldots\) है। / The first term is (4), and (6) is added each time. Hence the correct sequence is \(4,10,16,22,\ldots\).

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Question 133/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(90,80,70,60,\ldots\) में अगले दो पद कौन-से होंगे?

What will be the next two terms in \(90,80,70,60,\ldots\)?

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Correct Answer

B. (50,40)

Explanation

Simple Explanation

यहाँ (d=-10) है। इसलिए (60-10=50) और (50-10=40)। / Here (d=-10). Therefore, (60-10=50) and (50-10=40).

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Question 134/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(21,24,27,30,\ldots\) में कौन-सा पद दिए गए चार पदों में नहीं है?

Which term is not among the four given terms of \(21,24,27,30,\ldots\)?

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Correct Answer

D. (33)

Explanation

Simple Explanation

दिए गए चार पद (21,24,27,30) हैं। (33) अगला पद हो सकता है पर दिए गए चार पदों में नहीं है। / The four given terms are (21,24,27,30). (33) can be the next term but is not among the four given terms.

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Question 135/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि कोई अनुक्रम \(12,12,12,12,\ldots\) है, तो वह किस प्रकार की समांतर श्रेढ़ी है?

If a sequence is \(12,12,12,12,\ldots\), what type of arithmetic progression is it?

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Correct Answer

C. समान पदों वालीConstant terms

Explanation

Simple Explanation

सभी पद समान हैं इसलिए (d=0) है। इसे समान पदों वाली समांतर श्रेढ़ी कहते हैं। / All terms are equal, so (d=0). It is called an arithmetic progression with constant terms.

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Question 136/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

सीढ़ियों की पंक्तियों में \(8,11,14,17,\ldots\) ईंटें लगती हैं। इस व्यवस्था का सार्व अंतर क्या है?

Rows of stairs use \(8,11,14,17,\ldots\) bricks. What is the common difference of this arrangement?

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Correct Answer

B. (3)

Explanation

Simple Explanation

हर अगली पंक्ति में (3) ईंटें अधिक हैं। इसलिए सार्व अंतर (3) है। / Each next row has (3) more bricks. Therefore, the common difference is (3).

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Question 137/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(35,30,25,20,\ldots\) में प्रत्येक पद पिछले पद से कितना कम है?

In the sequence \(35,30,25,20,\ldots\), how much less is each term than the previous term?

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Correct Answer

C. (5)

Explanation

Simple Explanation

हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा। / Each next term is (5) less than the previous term. Its common difference will be (-5).

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Question 138/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(\frac{1}{5},\frac{3}{5},1,\frac{7}{5},\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(\frac{1}{5},\frac{3}{5},1,\frac{7}{5},\ldots\)?

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Correct Answer

B. \(\frac{2}{5}\)

Explanation

Simple Explanation

\(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\) है। पहले दो पदों से (d) आसानी से मिल जाता है। / \(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\). (d) can be found easily from the first two terms.

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Question 139/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि \(a_1=25\) और \(a_2=18\) हैं, तो (d) क्या होगा?

If \(a_1=25\) and \(a_2=18\), what will (d) be?

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Correct Answer

C. (-7)

Explanation

Simple Explanation

\(d=a_2-a_1=18-25=-7\) है। दूसरे पद से पहला पद घटाना न भूलें। / \(d=a_2-a_1=18-25=-7\). Do not forget to subtract the first term from the second term.

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Question 140/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(11,22,33,44,\ldots\) में सार्व अंतर (11) है। यह किस प्रकार का अनुक्रम है?

The sequence \(11,22,33,44,\ldots\) has common difference (11). What type of sequence is it?

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Correct Answer

A. समांतर श्रेढ़ीArithmetic progression

Explanation

Simple Explanation

लगातार पदों का अंतर समान (11) है। इसलिए यह समांतर श्रेढ़ी है। / The difference between consecutive terms is the same (11). Therefore, it is an arithmetic progression.

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Question 141/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(18,23,28,33,\ldots\) में (23) कौन-सा पद है?

In the sequence \(18,23,28,33,\ldots\), which term is (23)?

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Correct Answer

B. दूसरा पदSecond term

Explanation

Simple Explanation

लिखे क्रम में (18) पहला और (23) दूसरा पद है। पद संख्या निकालते समय शुरू से गिनें। / In the written order, (18) is the first term and (23) is the second term. Count from the start to find the term number.

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Question 142/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

समांतर श्रेढ़ी \(54,48,42,36,\ldots\) का सार्व अंतर क्या है?

What is the common difference of the arithmetic progression \(54,48,42,36,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (-6)

Explanation

Simple Explanation

(48-54=-6) है। घटती श्रेढ़ी में उत्तर के चिन्ह की जाँच जरूर करें। / (48-54=-6). In a decreasing progression, always check the sign of the answer.

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Question 143/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=10) और अगला पद (14) है, तो (d) क्या होगा?

If (a=10) and the next term is (14), what will (d) be?

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Correct Answer

A. (4)

Explanation

Simple Explanation

सार्व अंतर (14-10=4) है। अगला पद घटा पहला पद करने से (d) मिलता है। / The common difference is (14-10=4). (d) is found by subtracting the first term from the next term.

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Question 144/150 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)

Explanation

Simple Explanation

तीसरा पद घटा दूसरा पद (16-9=7) है। किसी भी दो लगातार पदों से वही (d) मिलना चाहिए। / The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).

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Question 145/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(36,42,48,54,\ldots\) का सार्व अंतर क्या है?

What is the common difference of the sequence \(36,42,48,54,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

लगातार पदों का अंतर (42-36=6) है। सार्व अंतर निकालते समय हमेशा अगले पद से पिछले पद को घटाएँ। / The difference of consecutive terms is (42-36=6). Always subtract the previous term from the next term to find the common difference.

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Question 146/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

कौन-सा अनुक्रम समांतर श्रेढ़ी है जिसका सार्व अंतर (-7) है?

Which sequence is an arithmetic progression with common difference (-7)?

Explanation opens after your attempt
Correct Answer

A. \(49,42,35,28,\ldots\)

Explanation

Simple Explanation

(42-49=-7) है इसलिए हर बार (7) घट रहा है। घटती श्रेढ़ी में (d) ऋणात्मक लिखा जाता है। / (42-49=-7) so (7) is subtracted each time. In a decreasing progression, (d) is written as negative.

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Question 147/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=11) और (d=6) है तो समांतर श्रेढ़ी के पहले चार पद कौन-से होंगे?

If (a=11) and (d=6), what are the first four terms of the arithmetic progression?

Explanation opens after your attempt
Correct Answer

C. (11,17,23,29)

Explanation

Simple Explanation

पहला पद (11) है और हर बार (6) जोड़ना है। इसलिए पहले चार पद (11,17,23,29) हैं। / The first term is (11) and (6) is added each time. Therefore, the first four terms are (11,17,23,29).

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Question 148/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(81,75,69,63,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(81,75,69,63,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (57)

Explanation

Simple Explanation

यहाँ सार्व अंतर (-6) है। इसलिए अगला पद (63-6=57) होगा। / The common difference is (-6). Therefore, the next term will be (63-6=57).

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Question 149/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots\) का सार्व अंतर क्या है?

What is the common difference of \(\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{2}{7}\)

Explanation

Simple Explanation

\(\frac{6}{7}-\frac{4}{7}=\frac{2}{7}\) है। समान हर वाले भिन्नों में अंशों का अंतर जल्दी जाँचें। / \(\frac{6}{7}-\frac{4}{7}=\frac{2}{7}\). For fractions with the same denominator, quickly check the difference of numerators.

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Question 150/150 Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि किसी समांतर श्रेढ़ी के लगातार पद (32) और (41) हैं तो सार्व अंतर (d) क्या होगा?

If consecutive terms of an arithmetic progression are (32) and (41), what will be the common difference (d)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

सार्व अंतर (41-32=9) है। लगातार पद दिए हों तो कोई सूत्र लंबा लगाने की जरूरत नहीं होती। / The common difference is (41-32=9). When consecutive terms are given, no long formula is needed.

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