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Mathematics Quiz - Class 9 Mathematics Exploring Algebrai...

Question 1/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

अनुक्रम \(4,9,14,19,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(4,9,14,19,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (5)

Step 1

Concept

The difference of consecutive terms is (9-4=5). In exams, subtract the first term from the second term.

Step 2

Why this answer is correct

The correct answer is D. (5). The difference of consecutive terms is (9-4=5). In exams, subtract the first term from the second term.

Step 3

Exam Tip

लगातार पदों का अंतर (9-4=5) है। परीक्षा में दूसरे पद में से पहला पद घटाएँ।

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Question 2/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(11,18,25,32,\ldots\) का अगला पद क्या होगा?

What will be the next term of the arithmetic progression \(11,18,25,32,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (39)

Step 1

Concept

(7) is added each time, so the next term is (32+7=39). In exams, identify the common difference first.

Step 2

Why this answer is correct

The correct answer is B. (39). (7) is added each time, so the next term is (32+7=39). In exams, identify the common difference first.

Step 3

Exam Tip

हर बार (7) जोड़ा जा रहा है, इसलिए अगला पद (32+7=39) है। परीक्षा में पहले सार्व अंतर पहचानें।

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Question 3/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी में पहला पद (9) और सार्व अंतर (4) है, तो दूसरा पद क्या होगा?

If an arithmetic progression has first term (9) and common difference (4), what is the second term?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

The second term is (9+4=13). In exams, add the common difference to get the next term.

Step 2

Why this answer is correct

The correct answer is C. (13). The second term is (9+4=13). In exams, add the common difference to get the next term.

Step 3

Exam Tip

दूसरा पद (9+4=13) होगा। परीक्षा में अगले पद के लिए सार्व अंतर जोड़ें।

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Question 4/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

अनुक्रम \(55,50,45,40,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the sequence \(55,50,45,40,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

Each term decreases by (5), so the common difference is (-5). In exams, write the difference as negative for a decreasing progression.

Step 2

Why this answer is correct

The correct answer is B. (-5). Each term decreases by (5), so the common difference is (-5). In exams, write the difference as negative for a decreasing progression.

Step 3

Exam Tip

हर पद में (5) घट रहा है, इसलिए सार्व अंतर (-5) है। परीक्षा में घटती श्रेणी में अंतर ऋणात्मक लिखें।

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Question 5/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

क्या अनुक्रम \(8,13,18,23,\ldots\) समांतर श्रेणी है?

Is the sequence \(8,13,18,23,\ldots\) an arithmetic progression?

Explanation opens after your attempt

Correct Answer

A. हाँ, सार्व अंतर (5) हैYes, common difference is (5)

Step 1

Concept

All consecutive terms have difference (5). In exams, check equal differences for an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. हाँ, सार्व अंतर (5) है / Yes, common difference is (5). All consecutive terms have difference (5). In exams, check equal differences for an arithmetic progression.

Step 3

Exam Tip

सभी लगातार पदों का अंतर (5) है। परीक्षा में समांतर श्रेणी के लिए समान अंतर जाँचें।

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Question 6/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

अनुक्रम \(2,4,7,11,\ldots\) समांतर श्रेणी क्यों नहीं है?

Why is the sequence \(2,4,7,11,\ldots\) not an arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. अंतर समान नहीं हैंDifferences are not equal

Step 1

Concept

The differences are (2,3,4), which are not equal. In exams, check consecutive differences only.

Step 2

Why this answer is correct

The correct answer is C. अंतर समान नहीं हैं / Differences are not equal. The differences are (2,3,4), which are not equal. In exams, check consecutive differences only.

Step 3

Exam Tip

अंतर (2,3,4) हैं, जो समान नहीं हैं। परीक्षा में लगातार अंतरों को ही जाँचें।

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Question 7/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(16,22,28,34,\ldots\) में पहला पद क्या है?

What is the first term in the arithmetic progression \(16,22,28,34,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (16)

Step 1

Concept

The first written term of the sequence is (16). In exams, take the first term (a) directly from the sequence.

Step 2

Why this answer is correct

The correct answer is B. (16). The first written term of the sequence is (16). In exams, take the first term (a) directly from the sequence.

Step 3

Exam Tip

अनुक्रम का पहला लिखा हुआ पद (16) है। परीक्षा में पहला पद (a) सीधे पहले पद से लें।

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Question 8/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि (a=7) और (d=5) है, तो समांतर श्रेणी का तीसरा पद क्या होगा?

If (a=7) and (d=5), what is the third term of the arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

The third term is (a+2d=7+10=17). In exams, add the difference twice for the third term.

Step 2

Why this answer is correct

The correct answer is C. (17). The third term is (a+2d=7+10=17). In exams, add the difference twice for the third term.

Step 3

Exam Tip

तीसरा पद (a+2d=7+10=17) है। परीक्षा में तीसरे पद के लिए दो बार अंतर जोड़ें।

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Question 9/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(42,38,34,30,\ldots\) का अगला पद क्या होगा?

What is the next term of the arithmetic progression \(42,38,34,30,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

The common difference is (-4), so the next term is (30-4=26). In exams, apply the negative difference in decreasing terms.

Step 2

Why this answer is correct

The correct answer is C. (26). The common difference is (-4), so the next term is (30-4=26). In exams, apply the negative difference in decreasing terms.

Step 3

Exam Tip

सार्व अंतर (-4) है, इसलिए अगला पद (30-4=26) है। परीक्षा में घटते पदों में ऋणात्मक अंतर लगाएँ।

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Question 10/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(13,19,25,31,\ldots\) में पाँचवाँ पद क्या है?

What is the fifth term in the arithmetic progression \(13,19,25,31,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (37)

Step 1

Concept

The common difference is (6), so the fifth term is (31+6=37). In exams, extend the terms in order.

Step 2

Why this answer is correct

The correct answer is C. (37). The common difference is (6), so the fifth term is (31+6=37). In exams, extend the terms in order.

Step 3

Exam Tip

सार्व अंतर (6) है, इसलिए पाँचवाँ पद (31+6=37) है। परीक्षा में पदों को क्रम से आगे बढ़ाएँ।

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Question 11/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी \(7,,\Box,,21,28,\ldots\) है, तो रिक्त स्थान में कौन-सा पद होगा?

If \(7,,\Box,,21,28,\ldots\) is an arithmetic progression, what term fills the blank?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

The difference between (21) and (28) is (7), so the missing term is (21-7=14). In exams, apply the difference backward too.

Step 2

Why this answer is correct

The correct answer is C. (14). The difference between (21) and (28) is (7), so the missing term is (21-7=14). In exams, apply the difference backward too.

Step 3

Exam Tip

(21) और (28) का अंतर (7) है, इसलिए रिक्त पद (21-7=14) है। परीक्षा में पीछे की ओर भी अंतर लगाएँ।

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Question 12/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(8,16,24,32,\ldots\) का सामान्य पद क्या है?

What is the general term of the arithmetic progression \(8,16,24,32,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(a_n=8n\)

Step 1

Concept

This is a sequence of multiples of (8), so \(a_n=8n\). In exams, identify multiple-based progressions as (kn).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=8n\). This is a sequence of multiples of (8), so \(a_n=8n\). In exams, identify multiple-based progressions as (kn).

Step 3

Exam Tip

यह (8) के गुणजों की श्रेणी है, इसलिए \(a_n=8n\) है। परीक्षा में गुणजों वाली श्रेणी को (kn) से पहचानें।

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Question 13/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि \(a_n=5n+1\) है, तो \(a_6\) का मान क्या होगा?

If \(a_n=5n+1\), what is the value of \(a_6\)?

Explanation opens after your attempt

Correct Answer

C. (31)

Step 1

Concept

\(a_6=5\times6+1=31\). In exams, replace (n) with the term number.

Step 2

Why this answer is correct

The correct answer is C. (31). \(a_6=5\times6+1=31\). In exams, replace (n) with the term number.

Step 3

Exam Tip

\(a_6=5\times6+1=31\) है। परीक्षा में (n) की जगह पद संख्या रखें।

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Question 14/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(9,13,17,21,\ldots\) का सामान्य पद कौन-सा है?

Which is the general term of the arithmetic progression \(9,13,17,21,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. \(a_n=4n+5\)

Step 1

Concept

The first term is (9) and the difference is (4), so \(a_n=4n+5\). In exams, use (a_n=a+(n-1)d).

Step 2

Why this answer is correct

The correct answer is B. \(a_n=4n+5\). The first term is (9) and the difference is (4), so \(a_n=4n+5\). In exams, use (a_n=a+(n-1)d).

Step 3

Exam Tip

पहला पद (9) और अंतर (4) है, इसलिए \(a_n=4n+5\) है। परीक्षा में (a_n=a+(n-1)d) लगाएँ।

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Question 15/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी का पहला पद (22) और सार्व अंतर (-6) है, तो दूसरा पद क्या होगा?

If the first term of an arithmetic progression is (22) and the common difference is (-6), what is the second term?

Explanation opens after your attempt

Correct Answer

A. (16)

Step 1

Concept

The second term is (22+(-6)=16). In exams, be careful with signs when adding a negative difference.

Step 2

Why this answer is correct

The correct answer is A. (16). The second term is (22+(-6)=16). In exams, be careful with signs when adding a negative difference.

Step 3

Exam Tip

दूसरा पद (22+(-6)=16) है। परीक्षा में ऋणात्मक अंतर जोड़ते समय चिह्न ध्यान रखें।

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Question 16/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

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

Why is the sequence \(5,10,20,40,\ldots\) 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 (5,10,20), which are not equal. In exams, equal difference is necessary.

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 (5,10,20), which are not equal. In exams, equal difference is necessary.

Step 3

Exam Tip

अंतर (5,10,20) हैं, जो समान नहीं हैं। परीक्षा में समान अंतर आवश्यक है।

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Question 17/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(6,15,24,33,\ldots\) में (d) का मान क्या है?

What is the value of (d) in the arithmetic progression \(6,15,24,33,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The common difference is (d=15-6=9). In exams, subtract the first term from the second term for (d).

Step 2

Why this answer is correct

The correct answer is C. (9). The common difference is (d=15-6=9). In exams, subtract the first term from the second term for (d).

Step 3

Exam Tip

सार्व अंतर (d=15-6=9) है। परीक्षा में (d) के लिए दूसरे पद में से पहला पद घटाएँ।

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Question 18/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि (a=14) और (d=6) है, तो समांतर श्रेणी का चौथा पद क्या होगा?

If (a=14) and (d=6), what is the fourth term of the arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. (32)

Step 1

Concept

The fourth term is (a+3d=14+18=32). In exams, add the difference three times for the fourth term.

Step 2

Why this answer is correct

The correct answer is C. (32). The fourth term is (a+3d=14+18=32). In exams, add the difference three times for the fourth term.

Step 3

Exam Tip

चौथा पद (a+3d=14+18=32) है। परीक्षा में चौथे पद के लिए तीन बार अंतर जोड़ें।

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Question 19/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(65,60,55,50,\ldots\) में छठा पद क्या है?

What is the sixth term in the arithmetic progression \(65,60,55,50,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (40)

Step 1

Concept

The difference is (-5), so the terms are (65,60,55,50,45,40). In exams, include the first term while counting.

Step 2

Why this answer is correct

The correct answer is B. (40). The difference is (-5), so the terms are (65,60,55,50,45,40). In exams, include the first term while counting.

Step 3

Exam Tip

अंतर (-5) है, इसलिए पद (65,60,55,50,45,40) हैं। परीक्षा में पहला पद भी गिनें।

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Question 20/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(3,10,17,24,\ldots\) में (38) कौन-सा पद है?

In the arithmetic progression \(3,10,17,24,\ldots\), which term is (38)?

Explanation opens after your attempt

Correct Answer

C. छठा पद(6)th term

Step 1

Concept

The terms are (3,10,17,24,31,38), so (38) is the sixth term. In exams, list terms in order to check.

Step 2

Why this answer is correct

The correct answer is C. छठा पद / (6)th term. The terms are (3,10,17,24,31,38), so (38) is the sixth term. In exams, list terms in order to check.

Step 3

Exam Tip

पद (3,10,17,24,31,38) हैं, इसलिए (38) छठा पद है। परीक्षा में क्रम से पद लिखकर जाँचें।

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Question 21/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि \(a_n=4n+6\) है, तो यह पहले तीन पद कौन-से देता है?

If \(a_n=4n+6\), what first three terms does it give?

Explanation opens after your attempt

Correct Answer

B. (10,14,18)

Step 1

Concept

Putting (n=1,2,3) gives (10,14,18). In exams, use small (n) values for the first three terms.

Step 2

Why this answer is correct

The correct answer is B. (10,14,18). Putting (n=1,2,3) gives (10,14,18). In exams, use small (n) values for the first three terms.

Step 3

Exam Tip

(n=1,2,3) रखने पर (10,14,18) मिलते हैं। परीक्षा में पहले तीन पदों के लिए छोटे (n) मान रखें।

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Question 22/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(15,20,25,30,\ldots\) का सामान्य पद क्या है?

What is the general term of the arithmetic progression \(15,20,25,30,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(a_n=5n+10\)

Step 1

Concept

The first term is (15) and the difference is (5), so \(a_n=5n+10\). In exams, find the constant part from the first term.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=5n+10\). The first term is (15) and the difference is (5), so \(a_n=5n+10\). In exams, find the constant part from the first term.

Step 3

Exam Tip

पहला पद (15) और अंतर (5) है, इसलिए \(a_n=5n+10\) है। परीक्षा में पहले पद से स्थिर भाग निकालें।

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Question 23/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी \(8,17,26,\Box,\ldots\) है, तो रिक्त स्थान में कौन-सा पद होगा?

If \(8,17,26,\Box,\ldots\) is an arithmetic progression, what term fills the blank?

Explanation opens after your attempt

Correct Answer

C. (35)

Step 1

Concept

The common difference is (9), so the next term is (26+9=35). In exams, continue the same difference for the blank term.

Step 2

Why this answer is correct

The correct answer is C. (35). The common difference is (9), so the next term is (26+9=35). In exams, continue the same difference for the blank term.

Step 3

Exam Tip

सार्व अंतर (9) है, इसलिए अगला पद (26+9=35) है। परीक्षा में रिक्त पद के लिए समान अंतर जारी रखें।

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Question 24/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(27,21,15,9,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the arithmetic progression \(27,21,15,9,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (-6)

Step 1

Concept

The difference of consecutive terms is (21-27=-6). In exams, write the difference as negative for a decreasing progression.

Step 2

Why this answer is correct

The correct answer is B. (-6). The difference of consecutive terms is (21-27=-6). In exams, write the difference as negative for a decreasing progression.

Step 3

Exam Tip

लगातार पदों का अंतर (21-27=-6) है। परीक्षा में घटती श्रेणी का अंतर ऋणात्मक लिखें।

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Question 25/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(18,25,32,39,\ldots\) में आठवाँ पद क्या होगा?

What is the eighth term in the arithmetic progression \(18,25,32,39,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (67)

Step 1

Concept

(a=18) and (d=7), so \(a_8=18+7\times7=67\). In exams, use (a+(n-1)d) for the (n)th term.

Step 2

Why this answer is correct

The correct answer is B. (67). (a=18) and (d=7), so \(a_8=18+7\times7=67\). In exams, use (a+(n-1)d) for the (n)th term.

Step 3

Exam Tip

(a=18) और (d=7), इसलिए \(a_8=18+7\times7=67\) है। परीक्षा में (n)वें पद के लिए (a+(n-1)d) लगाएँ।

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Question 26/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

क्या \(12,24,36,48,\ldots\) समांतर श्रेणी है?

Is \(12,24,36,48,\ldots\) an arithmetic progression?

Explanation opens after your attempt

Correct Answer

A. हाँ, सार्व अंतर (12) हैYes, common difference is (12)

Step 1

Concept

Each consecutive term differs by (12). In exams, if equal difference appears, treat it as an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. हाँ, सार्व अंतर (12) है / Yes, common difference is (12). Each consecutive term differs by (12). In exams, if equal difference appears, treat it as an arithmetic progression.

Step 3

Exam Tip

हर लगातार पद का अंतर (12) है। परीक्षा में समान अंतर दिखे तो समांतर श्रेणी मानें।

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Question 27/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि (a=5) और (d=11) है, तो पहले चार पद कौन-से होंगे?

If (a=5) and (d=11), what are the first four terms?

Explanation opens after your attempt

Correct Answer

B. (5,16,27,38)

Step 1

Concept

Adding (11) each time gives (5,16,27,38). In exams, do not change the first term.

Step 2

Why this answer is correct

The correct answer is B. (5,16,27,38). Adding (11) each time gives (5,16,27,38). In exams, do not change the first term.

Step 3

Exam Tip

हर बार (11) जोड़ने पर (5,16,27,38) मिलते हैं। परीक्षा में पहला पद न बदलें।

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Question 28/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(48,40,32,24,\ldots\) का सामान्य पद कौन-सा है?

Which is the general term of the arithmetic progression \(48,40,32,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. \(a_n=56-8n\)

Step 1

Concept

At (n=1) it gives (48), and at (n=2) it gives (40), so \(a_n=56-8n\). In exams, check a decreasing rule with the first term.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=56-8n\). At (n=1) it gives (48), and at (n=2) it gives (40), so \(a_n=56-8n\). In exams, check a decreasing rule with the first term.

Step 3

Exam Tip

(n=1) पर (48) और (n=2) पर (40) मिलता है, इसलिए \(a_n=56-8n\) है। परीक्षा में घटते नियम को पहले पद से जाँचें।

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Question 29/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि \(a_n=56-8n\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=56-8n\), what is the value of \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

\(a_4=56-32=24\). In exams, calculate (8n) first and then subtract.

Step 2

Why this answer is correct

The correct answer is C. (24). \(a_4=56-32=24\). In exams, calculate (8n) first and then subtract.

Step 3

Exam Tip

\(a_4=56-32=24\) है। परीक्षा में पहले (8n) निकालें और फिर घटाएँ।

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Question 30/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(6,17,28,39,\ldots\) में (a) और (d) क्या हैं?

What are (a) and (d) in the arithmetic progression \(6,17,28,39,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (a=6,d=11)

Step 1

Concept

The first term is (6), and the difference is (17-6=11). In exams, identify (a) and (d) separately.

Step 2

Why this answer is correct

The correct answer is A. (a=6,d=11). The first term is (6), and the difference is (17-6=11). In exams, identify (a) and (d) separately.

Step 3

Exam Tip

पहला पद (6) है और अंतर (17-6=11) है। परीक्षा में (a) और (d) अलग-अलग पहचानें।

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Question 31/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि किसी समांतर श्रेणी में (a=9) और (d=6) है, तो पाँचवाँ पद क्या होगा?

If an arithmetic progression has (a=9) and (d=6), what is the fifth term?

Explanation opens after your attempt

Correct Answer

C. (33)

Step 1

Concept

\(a_5=9+4\times6=33\). In exams, put (n=5) in (a_n=a+(n-1)d).

Step 2

Why this answer is correct

The correct answer is C. (33). \(a_5=9+4\times6=33\). In exams, put (n=5) in (a_n=a+(n-1)d).

Step 3

Exam Tip

\(a_5=9+4\times6=33\) है। परीक्षा में (a_n=a+(n-1)d) में (n=5) रखें।

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Question 32/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

अनुक्रम \(8,13,18,23,\ldots\) में (33) कौन-सा पद है?

In the sequence \(8,13,18,23,\ldots\), which term is (33)?

Explanation opens after your attempt

Correct Answer

C. छठा पद(6)th term

Step 1

Concept

The terms are (8,13,18,23,28,33), so (33) is the sixth term. In exams, count the first term too.

Step 2

Why this answer is correct

The correct answer is C. छठा पद / (6)th term. The terms are (8,13,18,23,28,33), so (33) is the sixth term. In exams, count the first term too.

Step 3

Exam Tip

पद (8,13,18,23,28,33) हैं, इसलिए (33) छठा पद है। परीक्षा में पहला पद भी गिनें।

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Question 33/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी में \(a_1=14\) और \(a_2=23\) है, तो सार्व अंतर क्या होगा?

If an arithmetic progression has \(a_1=14\) and \(a_2=23\), what is the common difference?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The common difference is \(a_2-a_1=23-14=9\). In exams, take the difference of two consecutive terms.

Step 2

Why this answer is correct

The correct answer is C. (9). The common difference is \(a_2-a_1=23-14=9\). In exams, take the difference of two consecutive terms.

Step 3

Exam Tip

सार्व अंतर \(a_2-a_1=23-14=9\) है। परीक्षा में दो लगातार पदों का अंतर लें।

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Question 34/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(24,31,38,45,\ldots\) का अगला पद क्या है?

What is the next term of the arithmetic progression \(24,31,38,45,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (52)

Step 1

Concept

The common difference is (7), so the next term is (45+7=52). In exams, add the difference to the last known term.

Step 2

Why this answer is correct

The correct answer is C. (52). The common difference is (7), so the next term is (45+7=52). In exams, add the difference to the last known term.

Step 3

Exam Tip

सार्व अंतर (7) है, इसलिए अगला पद (45+7=52) है। परीक्षा में अंतिम ज्ञात पद में अंतर जोड़ें।

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Question 35/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(140,130,120,110,\ldots\) में पाँचवाँ पद क्या है?

What is the fifth term in the arithmetic progression \(140,130,120,110,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (100)

Step 1

Concept

The common difference is (-10), so the fifth term is (100). In exams, count in the correct direction for decreasing terms.

Step 2

Why this answer is correct

The correct answer is B. (100). The common difference is (-10), so the fifth term is (100). In exams, count in the correct direction for decreasing terms.

Step 3

Exam Tip

सार्व अंतर (-10) है, इसलिए पाँचवाँ पद (100) है। परीक्षा में घटते पदों में सही दिशा में गिनें।

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Question 36/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी \(p,,p+7,,p+14,\ldots\) है, तो सार्व अंतर क्या है?

If \(p,,p+7,,p+14,\ldots\) is an arithmetic progression, what is the common difference?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

The difference between the second and first terms is ((p+7)-p=7). In exams, subtract even with algebraic terms.

Step 2

Why this answer is correct

The correct answer is B. (7). The difference between the second and first terms is ((p+7)-p=7). In exams, subtract even with algebraic terms.

Step 3

Exam Tip

दूसरे पद और पहले पद का अंतर ((p+7)-p=7) है। परीक्षा में बीजीय पदों में भी घटाव करें।

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Question 37/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(11,11,11,11,\ldots\) में सार्व अंतर क्या है?

What is the common difference in the arithmetic progression \(11,11,11,11,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Consecutive terms are equal, so the difference is (11-11=0). In exams, a constant sequence can also be an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. (0). Consecutive terms are equal, so the difference is (11-11=0). In exams, a constant sequence can also be an arithmetic progression.

Step 3

Exam Tip

लगातार पद समान हैं, इसलिए अंतर (11-11=0) है। परीक्षा में स्थिर श्रेणी भी समांतर श्रेणी हो सकती है।

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Question 38/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि (a=15) और (d=0) है, तो पहले तीन पद क्या होंगे?

If (a=15) and (d=0), what are the first three terms?

Explanation opens after your attempt

Correct Answer

C. (15,15,15)

Step 1

Concept

When the common difference is (0), all terms remain (15). In exams, (d=0) means a constant sequence.

Step 2

Why this answer is correct

The correct answer is C. (15,15,15). When the common difference is (0), all terms remain (15). In exams, (d=0) means a constant sequence.

Step 3

Exam Tip

सार्व अंतर (0) होने पर सभी पद (15) रहेंगे। परीक्षा में (d=0) का मतलब स्थिर श्रेणी है।

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Question 39/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(4,\Box,18,25,\ldots\) में रिक्त पद क्या होगा?

What is the missing term in the arithmetic progression \(4,\Box,18,25,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The difference between (18) and (25) is (7), so the missing term is (18-7=11). In exams, apply the common difference backward too.

Step 2

Why this answer is correct

The correct answer is C. (11). The difference between (18) and (25) is (7), so the missing term is (18-7=11). In exams, apply the common difference backward too.

Step 3

Exam Tip

(18) और (25) का अंतर (7) है, इसलिए रिक्त पद (18-7=11) है। परीक्षा में पीछे की ओर भी सार्व अंतर लगाएँ।

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Question 40/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि \(a_n=9n-2\) है, तो इस समांतर श्रेणी का सार्व अंतर क्या है?

If \(a_n=9n-2\), what is the common difference of this arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

In the linear rule \(a_n=9n-2\), the coefficient of (n) is the difference (9). In exams, take (k) as (d) in (kn+c).

Step 2

Why this answer is correct

The correct answer is C. (9). In the linear rule \(a_n=9n-2\), the coefficient of (n) is the difference (9). In exams, take (k) as (d) in (kn+c).

Step 3

Exam Tip

रैखिक नियम \(a_n=9n-2\) में (n) का गुणांक (9) ही अंतर है। परीक्षा में (kn+c) में (k) को (d) मानें।

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Question 41/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(18,23,28,33,\ldots\) का \(a_6\) क्या है?

What is \(a_6\) of the arithmetic progression \(18,23,28,33,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

(a=18) and (d=5), so \(a_6=18+5\times5=43\). In exams, keep (n-1) correct.

Step 2

Why this answer is correct

The correct answer is C. (43). (a=18) and (d=5), so \(a_6=18+5\times5=43\). In exams, keep (n-1) correct.

Step 3

Exam Tip

(a=18) और (d=5), इसलिए \(a_6=18+5\times5=43\) है। परीक्षा में (n-1) को सही रखें।

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Question 42/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी में \(a_1=13\) और (d=9) है, तो \(a_4\) क्या होगा?

If an arithmetic progression has \(a_1=13\) and (d=9), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (40)

Step 1

Concept

\(a_4=13+3\times9=40\). In exams, add three differences for the fourth term.

Step 2

Why this answer is correct

The correct answer is C. (40). \(a_4=13+3\times9=40\). In exams, add three differences for the fourth term.

Step 3

Exam Tip

\(a_4=13+3\times9=40\) है। परीक्षा में चौथे पद के लिए तीन अंतर जोड़ें।

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Question 43/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

किस अनुक्रम में सार्व अंतर (-7) है?

Which sequence has common difference (-7)?

Explanation opens after your attempt

Correct Answer

B. (35,28,21,14)

Step 1

Concept

In (35,28,21,14), (7) is subtracted each time. In exams, write a decreasing difference as negative.

Step 2

Why this answer is correct

The correct answer is B. (35,28,21,14). In (35,28,21,14), (7) is subtracted each time. In exams, write a decreasing difference as negative.

Step 3

Exam Tip

(35,28,21,14) में हर बार (7) घटता है। परीक्षा में घटते अंतर को ऋणात्मक लिखें।

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Question 44/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(11,22,33,44,\ldots\) का दसवाँ पद क्या है?

What is the tenth term of the arithmetic progression \(11,22,33,44,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (110)

Step 1

Concept

This is a sequence of multiples of (11), so the tenth term is (110). In exams, identify multiples quickly.

Step 2

Why this answer is correct

The correct answer is B. (110). This is a sequence of multiples of (11), so the tenth term is (110). In exams, identify multiples quickly.

Step 3

Exam Tip

यह (11) के गुणजों की श्रेणी है, इसलिए दसवाँ पद (110) है। परीक्षा में गुणजों को जल्दी पहचानें।

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Question 45/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि \(a_n=18-4n\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=18-4n\), what is the value of \(a_3\)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

\(a_3=18-12=6\). In exams, subtract (4n) correctly in a decreasing rule.

Step 2

Why this answer is correct

The correct answer is C. (6). \(a_3=18-12=6\). In exams, subtract (4n) correctly in a decreasing rule.

Step 3

Exam Tip

\(a_3=18-12=6\) है। परीक्षा में घटते नियम में (4n) सही घटाएँ।

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Question 46/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(14,10,6,2,\ldots\) का सामान्य पद क्या है?

What is the general term of the arithmetic progression \(14,10,6,2,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. \(a_n=18-4n\)

Step 1

Concept

At (n=1) it gives (14), and at (n=2) it gives (10), so \(a_n=18-4n\). In exams, choose the rule after checking the first term.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=18-4n\). At (n=1) it gives (14), and at (n=2) it gives (10), so \(a_n=18-4n\). In exams, choose the rule after checking the first term.

Step 3

Exam Tip

(n=1) पर (14) और (n=2) पर (10) मिलता है, इसलिए \(a_n=18-4n\) है। परीक्षा में पहला पद जाँचकर नियम चुनें।

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Question 47/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि समांतर श्रेणी (12,,x,,30) है, तो (x) का मान क्या होगा?

If (12,,x,,30) is an arithmetic progression, what is the value of (x)?

Explanation opens after your attempt

Correct Answer

C. (21)

Step 1

Concept

The middle term is the average of (12) and (30), so \(x=\frac{12+30}{2}=21\). In exams, take the average for the middle term in three-term progressions.

Step 2

Why this answer is correct

The correct answer is C. (21). The middle term is the average of (12) and (30), so \(x=\frac{12+30}{2}=21\). In exams, take the average for the middle term in three-term progressions.

Step 3

Exam Tip

बीच का पद (12) और (30) का औसत है, इसलिए \(x=\frac{12+30}{2}=21\) है। परीक्षा में तीन पदों वाली श्रेणी में मध्य पद का औसत लें।

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Question 48/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

समांतर श्रेणी \(30,38,46,54,\ldots\) में सातवाँ पद क्या होगा?

What will be the seventh term in the arithmetic progression \(30,38,46,54,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (78)

Step 1

Concept

(a=30) and (d=8), so \(a_7=30+6\times8=78\). In exams, add the difference (n-1) times.

Step 2

Why this answer is correct

The correct answer is D. (78). (a=30) and (d=8), so \(a_7=30+6\times8=78\). In exams, add the difference (n-1) times.

Step 3

Exam Tip

(a=30) और (d=8), इसलिए \(a_7=30+6\times8=78\) है। परीक्षा में (n-1) बार अंतर जोड़ें।

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Question 49/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

किस समांतर श्रेणी का पहला पद (12) और सार्व अंतर (6) है?

Which arithmetic progression has first term (12) and common difference (6)?

Explanation opens after your attempt

Correct Answer

A. \(12,18,24,30,\ldots\)

Step 1

Concept

The first term is (12), and (6) is added each time. In exams, match both the first term and the difference.

Step 2

Why this answer is correct

The correct answer is A. \(12,18,24,30,\ldots\). The first term is (12), and (6) is added each time. In exams, match both the first term and the difference.

Step 3

Exam Tip

पहला पद (12) है और हर बार (6) जुड़ रहा है। परीक्षा में पहला पद और अंतर दोनों मिलाएँ।

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Question 50/50 Easy Mathematics Sequences and Progressions Arithmetic Progression Class 9 Level 55

यदि (a=10) और (d=7) है, तो समांतर श्रेणी का छठा पद क्या होगा?

If (a=10) and (d=7), what will be the sixth term of the arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. (45)

Step 1

Concept

The sixth term is (a+5d=10+35=45). In exams, add the difference (n-1) times for the (n)th term.

Step 2

Why this answer is correct

The correct answer is C. (45). The sixth term is (a+5d=10+35=45). In exams, add the difference (n-1) times for the (n)th term.

Step 3

Exam Tip

छठा पद (a+5d=10+35=45) है। परीक्षा में (n)वें पद के लिए (n-1) बार अंतर जोड़ें।

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Class 9 Mathematics - Exploring Algebraic Identities - Visual models of identities Easy Quiz

अनुक्रम \(4,9,14,19,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेणी \(11,18,25,32,\ldots\) का अगला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समांतर श्रेणी में पहला पद (9) और सार्व अंतर (4) है, तो दूसरा पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(55,50,45,40,\ldots\) में सार्व अंतर क्या है?

Concept

Why this answer is correct

Exam Tip

क्या अनुक्रम \(8,13,18,23,\ldots\) समांतर श्रेणी है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(2,4,7,11,\ldots\) समांतर श्रेणी क्यों नहीं है?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेणी \(16,22,28,34,\ldots\) में पहला पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (a=7) और (d=5) है, तो समांतर श्रेणी का तीसरा पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेणी \(42,38,34,30,\ldots\) का अगला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेणी \(13,19,25,31,\ldots\) में पाँचवाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि समांतर श्रेणी \(7,,\Box,,21,28,\ldots\) है, तो रिक्त स्थान में कौन-सा पद होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेणी \(8,16,24,32,\ldots\) का सामान्य पद क्या है?

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Why this answer is correct

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यदि \(a_n=5n+1\) है, तो \(a_6\) का मान क्या होगा?

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समांतर श्रेणी \(9,13,17,21,\ldots\) का सामान्य पद कौन-सा है?

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यदि समांतर श्रेणी का पहला पद (22) और सार्व अंतर (-6) है, तो दूसरा पद क्या होगा?

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

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समांतर श्रेणी \(6,15,24,33,\ldots\) में (d) का मान क्या है?

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यदि (a=14) और (d=6) है, तो समांतर श्रेणी का चौथा पद क्या होगा?

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समांतर श्रेणी \(65,60,55,50,\ldots\) में छठा पद क्या है?

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समांतर श्रेणी \(3,10,17,24,\ldots\) में (38) कौन-सा पद है?

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