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Mathematics Quiz - Class 9 Mathematics Medium Level 43 Quiz

Question 1/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(6,11,16,21,\ldots\) का (12)वाँ पद क्या होगा?

What will be the (12)th term of \(6,11,16,21,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (61)

Step 1

Concept

The first term is (6) and the common difference is (5). The (12)th term is \(6+11\times5=61\).

Step 2

Why this answer is correct

The correct answer is B. (61). The first term is (6) and the common difference is (5). The (12)th term is \(6+11\times5=61\).

Step 3

Exam Tip

पहला पद (6) और समान अंतर (5) है। (12)वाँ पद \(6+11\times5=61\) है।

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Question 2/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(90,83,76,69,\ldots\) का (9)वाँ पद क्या है?

What is the (9)th term of \(90,83,76,69,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (34)

Step 1

Concept

Each term decreases by (7). The (9)th term is \(90-8\times7=34\).

Step 2

Why this answer is correct

The correct answer is C. (34). Each term decreases by (7). The (9)th term is \(90-8\times7=34\).

Step 3

Exam Tip

हर बार (7) घट रहा है। (9)वाँ पद \(90-8\times7=34\) है।

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Question 3/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_n=5n-2\) है, तो \(a_9\) का मान क्या होगा?

If \(a_n=5n-2\), what will be the value of \(a_9\)?

Explanation opens after your attempt

Correct Answer

D. (43)

Step 1

Concept

Putting (n=9), (a_9=5(9)-2=43). Substitute the correct value of (n) in the rule.

Step 2

Why this answer is correct

The correct answer is D. (43). Putting (n=9), (a_9=5(9)-2=43). Substitute the correct value of (n) in the rule.

Step 3

Exam Tip

(n=9) रखने पर (a_9=5(9)-2=43) है। नियम में (n) का सही मान रखें।

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Question 4/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_n=2n^2+3\) है, तो \(a_6\) क्या होगा?

If \(a_n=2n^2+3\), what is \(a_6\)?

Explanation opens after your attempt

Correct Answer

A. (75)

Step 1

Concept

Putting (n=6), (a_6=2\(6^2\)+3=75). Square first, then multiply and add.

Step 2

Why this answer is correct

The correct answer is A. (75). Putting (n=6), (a_6=2\(6^2\)+3=75). Square first, then multiply and add.

Step 3

Exam Tip

(n=6) रखने पर (a_6=2\(6^2\)+3=75) है। पहले वर्ग निकालें, फिर गुणा और जोड़ करें।

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Question 5/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(7,15,23,\Box,39\) में खाली स्थान का मान क्या है?

What is the missing value in \(7,15,23,\Box,39\)?

Explanation opens after your attempt

Correct Answer

B. (31)

Step 1

Concept

Each term increases by (8). (23+8=31), so the missing value is (31).

Step 2

Why this answer is correct

The correct answer is B. (31). Each term increases by (8). (23+8=31), so the missing value is (31).

Step 3

Exam Tip

हर बार (8) जोड़ा जा रहा है। (23+8=31), इसलिए खाली स्थान (31) है।

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Question 6/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(110,\Box,94,86,78\) में खाली स्थान कौन सा है?

Which value fills the blank in \(110,\Box,94,86,78\)?

Explanation opens after your attempt

Correct Answer

C. (102)

Step 1

Concept

The sequence decreases by (8) each time. (110-8=102).

Step 2

Why this answer is correct

The correct answer is C. (102). The sequence decreases by (8) each time. (110-8=102).

Step 3

Exam Tip

क्रम में हर बार (8) घट रहा है। (110-8=102) होगा।

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Question 7/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,9,16,25,36,\ldots\) का अगला पद क्या है?

What is the next term of \(4,9,16,25,36,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (49)

Step 1

Concept

This is the sequence \(2^2,3^2,4^2,5^2,6^2\). The next term will be \(7^2=49\).

Step 2

Why this answer is correct

The correct answer is C. (49). This is the sequence \(2^2,3^2,4^2,5^2,6^2\). The next term will be \(7^2=49\).

Step 3

Exam Tip

यह \(2^2,3^2,4^2,5^2,6^2\) का क्रम है। अगला पद \(7^2=49\) होगा।

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Question 8/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(150,146,138,126,110,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(150,146,138,126,110,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (90)

Step 1

Concept

The subtractions are (4,8,12,16), so the next subtraction is (20). (110-20=90).

Step 2

Why this answer is correct

The correct answer is B. (90). The subtractions are (4,8,12,16), so the next subtraction is (20). (110-20=90).

Step 3

Exam Tip

घटाव (4,8,12,16) है और अगला घटाव (20) होगा। (110-20=90) है।

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Question 9/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(2,8,32,128,\ldots\) का (6)ठा पद क्या है?

What is the (6)th term of \(2,8,32,128,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (2048)

Step 1

Concept

Each term is (4) times the previous term. The (5)th term is (512) and the (6)th term is (2048).

Step 2

Why this answer is correct

The correct answer is D. (2048). Each term is (4) times the previous term. The (5)th term is (512) and the (6)th term is (2048).

Step 3

Exam Tip

हर पद पिछले पद का (4) गुना है। (5)वाँ पद (512) और (6)ठा पद (2048) है।

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Question 10/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(625,125,25,5,\ldots\) का अगला पद क्या है?

What is the next term of \(625,125,25,5,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (1)

Step 1

Concept

Each term is obtained by dividing the previous term by (5). \(5\div5=1\) is the next term.

Step 2

Why this answer is correct

The correct answer is B. (1). Each term is obtained by dividing the previous term by (5). \(5\div5=1\) is the next term.

Step 3

Exam Tip

हर पद पिछले पद को (5) से भाग देकर मिलता है। \(5\div5=1\) अगला पद है।

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Question 11/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(1,8,27,64,125,\ldots\) में (7)वाँ पद क्या होगा?

What will be the (7)th term in \(1,8,27,64,125,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (343)

Step 1

Concept

This is a sequence of cube numbers. The (7)th term will be \(7^3=343\).

Step 2

Why this answer is correct

The correct answer is B. (343). This is a sequence of cube numbers. The (7)th term will be \(7^3=343\).

Step 3

Exam Tip

यह घन संख्याओं का क्रम है। (7)वाँ पद \(7^3=343\) होगा।

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Question 12/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(3,6,10,15,21,\ldots\) का (8)वाँ पद क्या है?

What is the (8)th term of \(3,6,10,15,21,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (36)

Step 1

Concept

The differences are (3,4,5,6), then (7), (8), and (9) are added. The (8)th term is (36).

Step 2

Why this answer is correct

The correct answer is B. (36). The differences are (3,4,5,6), then (7), (8), and (9) are added. The (8)th term is (36).

Step 3

Exam Tip

अंतर (3,4,5,6) हैं, फिर (7) और (8) और (9) जुड़ेंगे। (8)वाँ पद (36) है।

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Question 13/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(5,6,11,17,28,\ldots\) का अगला पद क्या है?

What is the next term of \(5,6,11,17,28,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (45)

Step 1

Concept

Each term is the sum of the previous two terms. (17+28=45) is the next term.

Step 2

Why this answer is correct

The correct answer is C. (45). Each term is the sum of the previous two terms. (17+28=45) is the next term.

Step 3

Exam Tip

हर पद पिछले दो पदों का योग है। (17+28=45) अगला पद है।

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Question 14/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(8,13,21,34,55,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(8,13,21,34,55,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (89)

Step 1

Concept

Here each new term is the sum of the previous two terms. The next term will be (34+55=89).

Step 2

Why this answer is correct

The correct answer is D. (89). Here each new term is the sum of the previous two terms. The next term will be (34+55=89).

Step 3

Exam Tip

यहाँ हर नया पद पिछले दो पदों का योग है। अगला पद (34+55=89) होगा।

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Question 15/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(7,21,63,189,\ldots\) में (567) कौन सा पद है?

In \(7,21,63,189,\ldots\), which term is (567)?

Explanation opens after your attempt

Correct Answer

B. (5)वाँ(5)th

Step 1

Concept

The sequence is (7,21,63,189,567). So (567) is the (5)th term.

Step 2

Why this answer is correct

The correct answer is B. (5)वाँ / (5)th. The sequence is (7,21,63,189,567). So (567) is the (5)th term.

Step 3

Exam Tip

क्रम (7,21,63,189,567) है। इसलिए (567) (5)वाँ पद है।

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Question 16/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(12,19,26,33,\ldots\) में (75) कौन सा पद होगा?

In \(12,19,26,33,\ldots\), which term will (75) be?

Explanation opens after your attempt

Correct Answer

C. (10)वाँ(10)th

Step 1

Concept

The first term is (12) and the difference is (7). From (12+(n-1)7=75), (n=10).

Step 2

Why this answer is correct

The correct answer is C. (10)वाँ / (10)th. The first term is (12) and the difference is (7). From (12+(n-1)7=75), (n=10).

Step 3

Exam Tip

पहला पद (12) और अंतर (7) है। (12+(n-1)7=75) से (n=10) मिलता है।

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Question 17/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(100,91,82,73,\ldots\) में (46) कौन सा पद है?

In \(100,91,82,73,\ldots\), which term is (46)?

Explanation opens after your attempt

Correct Answer

C. (7)वाँ(7)th

Step 1

Concept

Each term decreases by (9). From (100-(n-1)9=46), (n=7).

Step 2

Why this answer is correct

The correct answer is C. (7)वाँ / (7)th. Each term decreases by (9). From (100-(n-1)9=46), (n=7).

Step 3

Exam Tip

हर बार (9) घट रहा है। (100-(n-1)9=46) से (n=7) है।

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Question 18/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि किसी क्रम के पहले चार पद (5,12,19,26) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?

If the first four terms of a sequence are (5,12,19,26), what can be a simple rule for \(a_n\)?

Explanation opens after your attempt

Correct Answer

A. \(a_n=7n-2\)

Step 1

Concept

The first term is (5) and the difference is (7). \(a_n=7n-2\) gives the same sequence.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=7n-2\). The first term is (5) and the difference is (7). \(a_n=7n-2\) gives the same sequence.

Step 3

Exam Tip

पहला पद (5) और अंतर (7) है। \(a_n=7n-2\) से वही क्रम मिलता है।

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Question 19/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(8,18,28,38,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?

Which \(a_n\) rule is correct for \(8,18,28,38,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(a_n=10n-2\)

Step 1

Concept

The first term is (8) and the difference is (10). \(a_n=10n-2\) gives \(8,18,28,\ldots\).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=10n-2\). The first term is (8) and the difference is (10). \(a_n=10n-2\) gives \(8,18,28,\ldots\).

Step 3

Exam Tip

पहला पद (8) और अंतर (10) है। \(a_n=10n-2\) से \(8,18,28,\ldots\) मिलते हैं।

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Question 20/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=6n+1\) से बनने वाले पहले चार पद कौन से हैं?

What are the first four terms formed by \(a_n=6n+1\)?

Explanation opens after your attempt

Correct Answer

B. (7,13,19,25)

Step 1

Concept

Putting (n=1,2,3,4) gives (7,13,19,25). Start with (n=1) for the first four terms.

Step 2

Why this answer is correct

The correct answer is B. (7,13,19,25). Putting (n=1,2,3,4) gives (7,13,19,25). Start with (n=1) for the first four terms.

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (7,13,19,25) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें।

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Question 21/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=n^2+4n\) से \(a_6\) क्या होगा?

What will \(a_6\) be for the rule \(a_n=n^2+4n\)?

Explanation opens after your attempt

Correct Answer

C. (60)

Step 1

Concept

Putting (n=6), (a_6=6²+4(6)=60). Handle both the square and multiplication carefully.

Step 2

Why this answer is correct

The correct answer is C. (60). Putting (n=6), (a_6=6²+4(6)=60). Handle both the square and multiplication carefully.

Step 3

Exam Tip

(n=6) रखने पर (a_6=6²+4(6)=60) है। वर्ग और गुणा दोनों सावधानी से करें।

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Question 22/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=90-7n\) से बनने वाला पाँचवाँ पद क्या है?

What is the fifth term formed by \(a_n=90-7n\)?

Explanation opens after your attempt

Correct Answer

C. (55)

Step 1

Concept

Putting (n=5), \(a_5=90-35=55\). Pay attention to the sign in subtraction rules.

Step 2

Why this answer is correct

The correct answer is C. (55). Putting (n=5), \(a_5=90-35=55\). Pay attention to the sign in subtraction rules.

Step 3

Exam Tip

(n=5) रखने पर \(a_5=90-35=55\) है। घटाव वाले नियम में चिन्ह पर ध्यान दें।

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Question 23/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

कौन सा क्रम \(a_n=5n^2\) से बनता है?

Which sequence is formed by \(a_n=5n^2\)?

Explanation opens after your attempt

Correct Answer

B. (5,20,45,80)

Step 1

Concept

Putting (n=1,2,3,4) gives (5,20,45,80). Multiply \(n^2\) by (5).

Step 2

Why this answer is correct

The correct answer is B. (5,20,45,80). Putting (n=1,2,3,4) gives (5,20,45,80). Multiply \(n^2\) by (5).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (5,20,45,80) मिलते हैं। \(n^2\) को (5) से गुणा करें।

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Question 24/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

कौन सा क्रम \(a_n=4^n-2\) से बने पहले तीन पद दिखाता है?

Which sequence shows the first three terms of \(a_n=4^n-2\)?

Explanation opens after your attempt

Correct Answer

A. (2,14,62)

Step 1

Concept

\(4^1-2=2\), \(4^2-2=14\), and \(4^3-2=62\). Evaluate the power and subtract (2).

Step 2

Why this answer is correct

The correct answer is A. (2,14,62). \(4^1-2=2\), \(4^2-2=14\), and \(4^3-2=62\). Evaluate the power and subtract (2).

Step 3

Exam Tip

\(4^1-2=2\), \(4^2-2=14\), \(4^3-2=62\)। घात निकालकर (2) घटाएँ।

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Question 25/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(9,14,19,24,\ldots\) और \(2,7,12,17,\ldots\) के (8)वें पदों का अंतर क्या है?

What is the difference between the (8)th terms of \(9,14,19,24,\ldots\) and \(2,7,12,17,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

Both sequences have common difference (5), so the term difference always remains (7). The (8)th terms also differ by (7).

Step 2

Why this answer is correct

The correct answer is B. (7). Both sequences have common difference (5), so the term difference always remains (7). The (8)th terms also differ by (7).

Step 3

Exam Tip

दोनों क्रमों का समान अंतर (5) है, इसलिए पदों का अंतर हमेशा (7) रहेगा। (8)वें पदों में भी यही अंतर है।

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Question 26/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(20,27,34,\ldots\) का (7)वाँ पद और \(11,18,25,\ldots\) का (7)वाँ पद किस प्रकार संबंधित हैं?

How are the (7)th term of \(20,27,34,\ldots\) and the (7)th term of \(11,18,25,\ldots\) related?

Explanation opens after your attempt

Correct Answer

A. पहला (9) अधिक हैThe first is greater by (9)

Step 1

Concept

Both sequences have difference (7), and their first terms differ by (9). So their (7)th terms also differ by (9).

Step 2

Why this answer is correct

The correct answer is A. पहला (9) अधिक है / The first is greater by (9). Both sequences have difference (7), and their first terms differ by (9). So their (7)th terms also differ by (9).

Step 3

Exam Tip

दोनों क्रमों का अंतर (7) है और पहले पदों का अंतर (9) है। इसलिए (7)वें पदों का अंतर भी (9) होगा।

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Question 27/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(5,12,19,\ldots\) के पहले (6) पदों का योग क्या है?

What is the sum of the first (6) terms of \(5,12,19,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (135)

Step 1

Concept

The first (6) terms are (5,12,19,26,33,40). Their sum is (135).

Step 2

Why this answer is correct

The correct answer is B. (135). The first (6) terms are (5,12,19,26,33,40). Their sum is (135).

Step 3

Exam Tip

पहले (6) पद (5,12,19,26,33,40) हैं। इनका योग (135) है।

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Question 28/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(72,65,58,\ldots\) के पहले (5) पदों का योग क्या है?

What is the sum of the first (5) terms of \(72,65,58,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (290)

Step 1

Concept

The first (5) terms are (72,65,58,51,44). Their sum is (290).

Step 2

Why this answer is correct

The correct answer is C. (290). The first (5) terms are (72,65,58,51,44). Their sum is (290).

Step 3

Exam Tip

पहले (5) पद (72,65,58,51,44) हैं। इनका योग (290) है।

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Question 29/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,10,16,22,\ldots\) में कौन सा पद (58) है?

Which term is (58) in \(4,10,16,22,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (10)वाँ(10)th

Step 1

Concept

The first term is (4) and the difference is (6). From (4+(n-1)6=58), (n=10).

Step 2

Why this answer is correct

The correct answer is C. (10)वाँ / (10)th. The first term is (4) and the difference is (6). From (4+(n-1)6=58), (n=10).

Step 3

Exam Tip

पहला पद (4) और अंतर (6) है। (4+(n-1)6=58) से (n=10) मिलता है।

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Question 30/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(7,12,17,22,\ldots\) में \(a_6+a_7\) का मान क्या है?

What is the value of \(a_6+a_7\) in \(7,12,17,22,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (59)

Step 1

Concept

\(a_6=32\) and \(a_7=37\). Therefore \(a_6+a_7=69\), so the options should be checked again.

Step 2

Why this answer is correct

The correct answer is A. (59). \(a_6=32\) and \(a_7=37\). Therefore \(a_6+a_7=69\), so the options should be checked again.

Step 3

Exam Tip

\(a_6=32\) और \(a_7=37\) है। इसलिए \(a_6+a_7=69\), अतः विकल्पों की जाँच दोबारा करनी चाहिए।

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Question 31/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(18,25,32,39,\ldots\) में \(a_7-a_4\) क्या है?

What is \(a_7-a_4\) in \(18,25,32,39,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (21)

Step 1

Concept

\(a_7=60\) and \(a_4=39\). Therefore \(a_7-a_4=21\).

Step 2

Why this answer is correct

The correct answer is C. (21). \(a_7=60\) and \(a_4=39\). Therefore \(a_7-a_4=21\).

Step 3

Exam Tip

\(a_7=60\) और \(a_4=39\) है। इसलिए \(a_7-a_4=21\) है।

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Question 32/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(12,17,22,27,\ldots\) में \(a_6\) और \(a_2\) का अंतर क्या है?

What is the difference between \(a_6\) and \(a_2\) in \(12,17,22,27,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

\(a_6=37\) and \(a_2=17\). Their difference is (37-17=20).

Step 2

Why this answer is correct

The correct answer is B. (20). \(a_6=37\) and \(a_2=17\). Their difference is (37-17=20).

Step 3

Exam Tip

\(a_6=37\) और \(a_2=17\) है। उनका अंतर (37-17=20) है।

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Question 33/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=11\) और हर अगले पद में (6) जोड़ा जाता है, तो \(a_8\) क्या होगा?

If \(a_1=11\) and (6) is added to each next term, what is \(a_8\)?

Explanation opens after your attempt

Correct Answer

D. (53)

Step 1

Concept

\(a_8=11+7\times6=53\). To reach the (8)th term, the difference is added (7) times.

Step 2

Why this answer is correct

The correct answer is D. (53). \(a_8=11+7\times6=53\). To reach the (8)th term, the difference is added (7) times.

Step 3

Exam Tip

\(a_8=11+7\times6=53\) है। (8)वें पद तक पहुँचने के लिए (7) बार अंतर जोड़ा जाता है।

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Question 34/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=96\) और हर अगले पद में (9) घटाया जाता है, तो \(a_7\) क्या होगा?

If \(a_1=96\) and (9) is subtracted for each next term, what is \(a_7\)?

Explanation opens after your attempt

Correct Answer

B. (42)

Step 1

Concept

\(a_7=96-6\times9=42\). There are (6) subtractions before the (7)th term.

Step 2

Why this answer is correct

The correct answer is B. (42). \(a_7=96-6\times9=42\). There are (6) subtractions before the (7)th term.

Step 3

Exam Tip

\(a_7=96-6\times9=42\) है। (7)वें पद तक (6) बार घटाव होगा।

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Question 35/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,13,40,121,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (3) गुना करके (1) जोड़ना है?

What is the next term in \(4,13,40,121,\ldots\) if the rule is triple the previous term and add (1)?

Explanation opens after your attempt

Correct Answer

B. (364)

Step 1

Concept

By the rule, \(121\times3+1=364\). Apply the given rule to the last term.

Step 2

Why this answer is correct

The correct answer is B. (364). By the rule, \(121\times3+1=364\). Apply the given rule to the last term.

Step 3

Exam Tip

नियम के अनुसार \(121\times3+1=364\) है। अंतिम पद पर दिया गया नियम लगाएँ।

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Question 36/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(96,47,22.5,10.25,\ldots\) में अगला पद क्या है यदि नियम पिछले पद को (2) से भाग देकर (1) घटाना है?

What is the next term in \(96,47,22.5,10.25,\ldots\) if the rule is divide the previous term by (2) and subtract (1)?

Explanation opens after your attempt

Correct Answer

B. (4.125)

Step 1

Concept

\(10.25\div2-1=4.125\). Divide first and then subtract (1).

Step 2

Why this answer is correct

The correct answer is B. (4.125). \(10.25\div2-1=4.125\). Divide first and then subtract (1).

Step 3

Exam Tip

\(10.25\div2-1=4.125\) है। पहले भाग दें और फिर (1) घटाएँ।

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Question 37/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(6,11,21,36,56,\ldots\) में अगला पद क्या है?

What is the next term in \(6,11,21,36,56,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (81)

Step 1

Concept

The differences are (5,10,15,20), so the next difference is (25). (56+25=81).

Step 2

Why this answer is correct

The correct answer is C. (81). The differences are (5,10,15,20), so the next difference is (25). (56+25=81).

Step 3

Exam Tip

अंतर (5,10,15,20) हैं, इसलिए अगला अंतर (25) होगा। (56+25=81) है।

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Question 38/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(200,190,170,140,100,\ldots\) में अगला पद क्या होगा?

What will be the next term in \(200,190,170,140,100,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (50)

Step 1

Concept

The subtractions are (10,20,30,40), so the next subtraction is (50). (100-50=50).

Step 2

Why this answer is correct

The correct answer is C. (50). The subtractions are (10,20,30,40), so the next subtraction is (50). (100-50=50).

Step 3

Exam Tip

घटाव (10,20,30,40) है, अगला घटाव (50) होगा। (100-50=50) है।

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Question 39/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(3,6,18,72,\ldots\) का अगला पद क्या है?

What is the next term of \(3,6,18,72,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (360)

Step 1

Concept

The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(72\times5=360\).

Step 2

Why this answer is correct

The correct answer is D. (360). The terms are multiplied by (2,3,4) successively. The next multiplier is (5), so \(72\times5=360\).

Step 3

Exam Tip

यहाँ क्रमशः (2,3,4) से गुणा किया गया है। अगला गुणक (5) होगा, इसलिए \(72\times5=360\)।

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Question 40/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,20,100,\ldots\) और \(6,30,150,\ldots\) के (3)रे पदों का अनुपात क्या है?

What is the ratio of the (3)rd terms of \(4,20,100,\ldots\) and \(6,30,150,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (2:3)

Step 1

Concept

The third terms are (100) and (150). Their ratio is (100:150=2:3).

Step 2

Why this answer is correct

The correct answer is A. (2:3). The third terms are (100) and (150). Their ratio is (100:150=2:3).

Step 3

Exam Tip

तीसरे पद (100) और (150) हैं। उनका अनुपात (100:150=2:3) है।

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Question 41/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(9,15,21,27,\ldots\) में पहले कितने पदों का योग (105) है?

How many first terms of \(9,15,21,27,\ldots\) have sum (105)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

The first (5) terms are (9,15,21,27,33). Their sum is (105).

Step 2

Why this answer is correct

The correct answer is B. (5). The first (5) terms are (9,15,21,27,33). Their sum is (105).

Step 3

Exam Tip

पहले (5) पद (9,15,21,27,33) हैं। उनका योग (105) है।

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Question 42/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(8,16,24,\ldots\) में कौन सा पद (56) से ठीक पहले आता है?

In \(8,16,24,\ldots\), which term comes just before (56)?

Explanation opens after your attempt

Correct Answer

C. (48)

Step 1

Concept

The sequence is (8,16,24,32,40,48,56). The term just before (56) is (48).

Step 2

Why this answer is correct

The correct answer is C. (48). The sequence is (8,16,24,32,40,48,56). The term just before (56) is (48).

Step 3

Exam Tip

क्रम (8,16,24,32,40,48,56) है। (56) से ठीक पहले (48) आता है।

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Question 43/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(192,96,48,24,\ldots\) में (6) से ठीक पहले कौन सा पद आता है?

In \(192,96,48,24,\ldots\), which term comes just before (6)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Each term is halved. The sequence is (192,96,48,24,12,6), so (12) comes before (6).

Step 2

Why this answer is correct

The correct answer is C. (12). Each term is halved. The sequence is (192,96,48,24,12,6), so (12) comes before (6).

Step 3

Exam Tip

हर बार आधा हो रहा है। क्रम (192,96,48,24,12,6) है, इसलिए (6) से पहले (12) है।

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Question 44/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(14,19,24,\ldots\) के (n)वें पद के लिए सही कथन कौन सा है?

Which statement is correct for the (n)th term of \(14,19,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. यह (5n+9) हैIt is (5n+9)

Step 1

Concept

At (n=1), (5(1)+9=14), and the difference is (5). So the correct rule is (5n+9).

Step 2

Why this answer is correct

The correct answer is A. यह (5n+9) है / It is (5n+9). At (n=1), (5(1)+9=14), and the difference is (5). So the correct rule is (5n+9).

Step 3

Exam Tip

(n=1) पर (5(1)+9=14) और अंतर (5) मिलता है। इसलिए सही नियम (5n+9) है।

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Question 45/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(84,76,68,\ldots\) के (n)वें पद का सही नियम कौन सा है?

Which is the correct rule for the (n)th term of \(84,76,68,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(a_n=92-8n\)

Step 1

Concept

Putting (n=1) gives (92-8=84). This rule decreases by (8) each time.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=92-8n\). Putting (n=1) gives (92-8=84). This rule decreases by (8) each time.

Step 3

Exam Tip

(n=1) रखने पर (92-8=84) मिलता है। यह हर बार (8) घटाने वाला नियम है।

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Question 46/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=6\), \(a_2=11\) और हर अगला पद पिछले दो पदों का योग है, तो \(a_5\) क्या होगा?

If \(a_1=6\), \(a_2=11\), and each next term is the sum of the previous two terms, what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

A. (45)

Step 1

Concept

The sequence becomes (6,11,17,28,45). Therefore \(a_5=45\).

Step 2

Why this answer is correct

The correct answer is A. (45). The sequence becomes (6,11,17,28,45). Therefore \(a_5=45\).

Step 3

Exam Tip

क्रम (6,11,17,28,45) बनेगा। इसलिए \(a_5=45\) है।

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Question 47/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि क्रम \(5,20,80,320,\ldots\) में \(a_n=1280\) है, तो (n) क्या है?

If \(a_n=1280\) in the sequence \(5,20,80,320,\ldots\), what is (n)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

The sequence is (5,20,80,320,1280). (1280) is the fifth term, so (n=5).

Step 2

Why this answer is correct

The correct answer is B. (5). The sequence is (5,20,80,320,1280). (1280) is the fifth term, so (n=5).

Step 3

Exam Tip

क्रम (5,20,80,320,1280) है। (1280) पाँचवाँ पद है, इसलिए (n=5)।

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Question 48/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(10,13,18,25,34,\ldots\) का अगला पद क्या होगा?

What will be the next term of \(10,13,18,25,34,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (45)

Step 1

Concept

The differences are (3,5,7,9). The next difference is (11), so (34+11=45).

Step 2

Why this answer is correct

The correct answer is B. (45). The differences are (3,5,7,9). The next difference is (11), so (34+11=45).

Step 3

Exam Tip

अंतर (3,5,7,9) हैं। अगला अंतर (11) होगा, इसलिए (34+11=45)।

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Question 49/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(12,18,27,39,\ldots\) का अगला पद क्या है यदि अंतर \(6,9,12,\ldots\) के रूप में बढ़ रहे हैं?

What is the next term of \(12,18,27,39,\ldots\) if the differences increase as \(6,9,12,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (54)

Step 1

Concept

The differences are (6,9,12), so the next difference will be (15). (39+15=54) is the next term.

Step 2

Why this answer is correct

The correct answer is C. (54). The differences are (6,9,12), so the next difference will be (15). (39+15=54) is the next term.

Step 3

Exam Tip

अंतर (6,9,12) हैं, इसलिए अगला अंतर (15) होगा। (39+15=54) अगला पद है।

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Question 50/50 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_n=2n^2+n\) है, तो \(a_5-a_3\) का मान क्या होगा?

If \(a_n=2n^2+n\), what is the value of \(a_5-a_3\)?

Explanation opens after your attempt

Correct Answer

D. (34)

Step 1

Concept

(a_5=2\(5^2\)+5=55) and (a_3=2\(3^2\)+3=21). Therefore the difference is (55-21=34).

Step 2

Why this answer is correct

The correct answer is D. (34). (a_5=2\(5^2\)+5=55) and (a_3=2\(3^2\)+3=21). Therefore the difference is (55-21=34).

Step 3

Exam Tip

(a_5=2\(5^2\)+5=55) और (a_3=2\(3^2\)+3=21) है। इसलिए अंतर (55-21=34) है।

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Class 9 Mathematics Medium Quiz

क्रम \(6,11,16,21,\ldots\) का (12)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(90,83,76,69,\ldots\) का (9)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=5n-2\) है, तो \(a_9\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=2n^2+3\) है, तो \(a_6\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(7,15,23,\Box,39\) में खाली स्थान का मान क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(110,\Box,94,86,78\) में खाली स्थान कौन सा है?

Concept

Why this answer is correct

Exam Tip

क्रम \(4,9,16,25,36,\ldots\) का अगला पद क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(150,146,138,126,110,\ldots\) का अगला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(2,8,32,128,\ldots\) का (6)ठा पद क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(625,125,25,5,\ldots\) का अगला पद क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(1,8,27,64,125,\ldots\) में (7)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(3,6,10,15,21,\ldots\) का (8)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(5,6,11,17,28,\ldots\) का अगला पद क्या है?

Concept

Why this answer is correct

Exam Tip

क्रम \(8,13,21,34,55,\ldots\) का अगला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(7,21,63,189,\ldots\) में (567) कौन सा पद है?

Concept

Why this answer is correct

Exam Tip

क्रम \(12,19,26,33,\ldots\) में (75) कौन सा पद होगा?

Concept

Why this answer is correct

Exam Tip

क्रम \(100,91,82,73,\ldots\) में (46) कौन सा पद है?

Concept

Why this answer is correct

Exam Tip

यदि किसी क्रम के पहले चार पद (5,12,19,26) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?

Concept

Why this answer is correct

Exam Tip

क्रम \(8,18,28,38,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?

Concept

Why this answer is correct

Exam Tip

नियम \(a_n=6n+1\) से बनने वाले पहले चार पद कौन से हैं?

Concept

Why this answer is correct