क्रम \(4,7,10,13,\ldots\) का अगला पद क्या है?
What is the next term of the sequence \(4,7,10,13,\ldots\)?
#sequences
#next_term
#arithmetic_pattern
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A (16)
B (17)
C (18)
D (19)
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Explanation
Simple Explanation
हर बार (3) जोड़ा जा रहा है। अगला पद निकालने के लिए अंतिम पद में वही अंतर जोड़ें। / Each term increases by (3). Add the same difference to the last term to get the next term.
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क्रम \(60,55,50,45,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(60,55,50,45,\ldots\)?
#sequences
#decreasing_sequence
#next_term
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A (35)
B (40)
C (45)
D (50)
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Explanation
Simple Explanation
हर बार (5) घट रहा है। इसलिए (45-5=40) अगला पद है। / Each term decreases by (5). So (45-5=40) is the next term.
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क्रम \(3,9,27,81,\ldots\) में अगला पद क्या है?
What is the next term in \(3,9,27,81,\ldots\)?
#sequences
#multiplicative_pattern
#next_term
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A (162)
B (216)
C (243)
D (324)
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Explanation
Simple Explanation
हर पद पिछले पद का (3) गुना है। \(81\times3=243\) होगा। / Each term is (3) times the previous term. \(81\times3=243\).
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क्रम \(1,5,9,13,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(1,5,9,13,\ldots\)?
#sequences
#next_term
#common_difference
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A (14)
B (15)
C (16)
D (17)
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Explanation
Simple Explanation
हर बार (4) बढ़ रहा है। इसलिए (13+4=17) है। / Each term increases by (4). Therefore (13+4=17).
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क्रम \(6,12,18,\Box,30\) में खाली स्थान का मान क्या है?
What is the missing value in \(6,12,18,\Box,30\)?
#sequences
#missing_term
#arithmetic_sequence
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A (24)
B (22)
C (20)
D (26)
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Explanation
Simple Explanation
हर बार (6) जोड़ा जा रहा है। (18) के बाद (24) आएगा। / Each term increases by (6). After (18), (24) comes.
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क्रम \(100,90,\Box,70,60\) में खाली स्थान पर कौन सा पद आएगा?
Which term will come in the blank in \(100,90,\Box,70,60\)?
#sequences
#missing_term
#decreasing_sequence
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A (85)
B (80)
C (75)
D (70)
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Explanation
Simple Explanation
हर बार (10) घट रहा है। (90) के बाद (80) आएगा। / Each term decreases by (10). After (90), (80) comes.
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यदि क्रम का नियम \(a_n=4n\) है, तो \(a_5\) क्या होगा?
If the sequence rule is \(a_n=4n\), what is \(a_5\)?
#sequences
#nth_term
#substitution
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A (16)
B (18)
C (20)
D (24)
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Explanation
Simple Explanation
(n=5) रखने पर (a_5=4(5)=20) है। नियम में सही स्थान संख्या रखें। / Putting (n=5), (a_5=4(5)=20). Substitute the correct position number in the rule.
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यदि \(a_n=n^2+1\) है, तो \(a_3\) का मान क्या है?
If \(a_n=n^2+1\), what is the value of \(a_3\)?
#sequences
#nth_term
#square_rule
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A (8)
B (9)
C (11)
D (10)
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Explanation
Simple Explanation
(n=3) रखने पर \(a_3=3^2+1=10\) है। पहले वर्ग निकालें, फिर जोड़ करें। / Putting (n=3), \(a_3=3^2+1=10\). Square first, then add.
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क्रम \(11,16,21,26,\ldots\) में समान अंतर क्या है?
What is the common difference in \(11,16,21,26,\ldots\)?
#sequences
#common_difference
#arithmetic_sequence
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A (5)
B (6)
C (7)
D (4)
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Explanation
Simple Explanation
लगातार पदों का अंतर (16-11=5) है। समान अंतर के लिए पास-पास के दो पद घटाएँ। / The difference between consecutive terms is (16-11=5). Subtract nearby terms to find the common difference.
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क्रम \(42,36,30,24,\ldots\) में समान अंतर क्या है?
What is the common difference in \(42,36,30,24,\ldots\)?
#sequences
#common_difference
#decreasing_sequence
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A (-4)
B (-6)
C (6)
D (4)
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Explanation
Simple Explanation
हर बार (6) घट रहा है। इसलिए समान अंतर (-6) है। / Each term decreases by (6). Therefore the common difference is (-6).
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क्रम \(2,6,18,54,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(2,6,18,54,\ldots\)?
#sequences
#rule_identification
#multiplication
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A (2) से गुणा करके / By multiplying by (2)
B (6) जोड़कर / By adding (6)
C (3) से गुणा करके / By multiplying by (3)
D (3) घटाकर / By subtracting (3)
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Correct Answer
C. (3) से गुणा करके / By multiplying by (3)
Explanation
Simple Explanation
हर पद पिछले पद का (3) गुना है। पास-पास के पदों की तुलना करके नियम पहचानें। / Each term is (3) times the previous term. Compare nearby terms to identify the rule.
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क्रम \(80,40,20,10,\ldots\) में प्रत्येक पद पिछले पद से कैसे प्राप्त होता है?
How is each term obtained from the previous term in \(80,40,20,10,\ldots\)?
#sequences
#division_pattern
#rule_identification
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A (10) घटाकर / By subtracting (10)
B (4) से भाग देकर / By dividing by (4)
C (2) से गुणा करके / By multiplying by (2)
D (2) से भाग देकर / By dividing by (2)
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Correct Answer
D. (2) से भाग देकर / By dividing by (2)
Explanation
Simple Explanation
हर पद पिछले पद का आधा है। इसलिए नियम (2) से भाग देना है। / Each term is half of the previous term. So the rule is dividing by (2).
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क्रम \(1,4,9,16,25,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(1,4,9,16,25,\ldots\)?
#sequences
#square_numbers
#next_term
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A (36)
B (30)
C (35)
D (49)
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Explanation
Simple Explanation
ये वर्ग संख्याएँ हैं। \(25=5^2\) के बाद \(6^2=36\) आएगा। / These are square numbers. After \(25=5^2\), \(6^2=36\) comes.
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क्रम \(1,8,27,64,125,\ldots\) का अगला पद क्या है?
What is the next term of \(1,8,27,64,125,\ldots\)?
#sequences
#cube_numbers
#next_term
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A (180)
B (216)
C (225)
D (256)
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Explanation
Simple Explanation
ये घन संख्याएँ हैं। \(125=5^3\) के बाद \(6^3=216\) होगा। / These are cube numbers. After \(125=5^3\), \(6^3=216\) comes.
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क्रम \(2,4,7,11,16,\ldots\) का अगला पद क्या है?
What is the next term of \(2,4,7,11,16,\ldots\)?
#sequences
#increasing_difference
#next_term
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A (20)
B (21)
C (22)
D (23)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (16+6=22)। / The differences are (2,3,4,5). The next difference is (6), so (16+6=22).
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क्रम \(30,29,27,24,20,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(30,29,27,24,20,\ldots\)?
#sequences
#decreasing_difference
#next_term
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A (17)
B (16)
C (14)
D (15)
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Explanation
Simple Explanation
घटाव (1,2,3,4) है और अगला घटाव (5) होगा। (20-5=15) है। / The subtractions are (1,2,3,4), so the next subtraction is (5). (20-5=15).
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क्रम \(1,1,2,3,5,8,\ldots\) का अगला पद क्या है?
What is the next term of \(1,1,2,3,5,8,\ldots\)?
#sequences
#fibonacci_pattern
#next_term
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A (13)
B (12)
C (14)
D (15)
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Explanation
Simple Explanation
हर नया पद पिछले दो पदों का योग है। (5+8=13) अगला पद है। / Each new term is the sum of the previous two terms. (5+8=13) is the next term.
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क्रम \(4,5,9,14,23,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(4,5,9,14,23,\ldots\)?
#sequences
#sum_pattern
#next_term
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A (32)
B (37)
C (36)
D (34)
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Explanation
Simple Explanation
यहाँ (9=4+5), (14=5+9), (23=9+14) है। अगला पद (14+23=37) होगा। / Here (9=4+5), (14=5+9), and (23=9+14). The next term is (14+23=37).
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कौन सा क्रम हर बार (4) घटाकर बनाया गया है?
Which sequence is formed by subtracting (4) each time?
#sequences
#decreasing_sequence
#rule_identification
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A (32,28,24,20)
B (32,26,20,14)
C (32,30,28,26)
D (32,24,16,8)
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Correct Answer
A. (32,28,24,20)
Explanation
Simple Explanation
(32,28,24,20) में हर बार (4) घटता है। घटते क्रम में अंतर ध्यान से देखें। / In (32,28,24,20), (4) is subtracted each time. Check the difference carefully in decreasing sequences.
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कौन सा क्रम (6) के गुणजों का है?
Which sequence is a sequence of multiples of (6)?
#sequences
#multiples
#pattern_identification
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A (5,10,15,20)
B (6,12,18,24)
C (4,8,12,16)
D (7,14,21,28)
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Correct Answer
B. (6,12,18,24)
Explanation
Simple Explanation
(6,12,18,24) सभी (6) के गुणज हैं। गुणजों के क्रम में पहला पद और अंतर दोनों उपयोगी संकेत देते हैं। / (6,12,18,24) are all multiples of (6). In a multiples sequence, the first term and difference both help.
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कौन सा क्रम घन संख्याओं का है?
Which sequence is a sequence of cube numbers?
#sequences
#cube_numbers
#pattern_identification
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A (1,4,9,16)
B (2,4,8,16)
C (1,8,27,64)
D (1,3,6,10)
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Correct Answer
C. (1,8,27,64)
Explanation
Simple Explanation
(1,8,27,64) क्रमशः \(1^3,2^3,3^3,4^3\) हैं। घन संख्याओं को पहचानना आसान पैटर्न है। / (1,8,27,64) are \(1^3,2^3,3^3,4^3\). Cube numbers form a recognizable pattern.
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यदि \(a_n=3n+2\) है, तो \(a_4\) क्या होगा?
If \(a_n=3n+2\), what will \(a_4\) be?
#sequences
#nth_term
#linear_rule
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A (14)
B (12)
C (13)
D (15)
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Explanation
Simple Explanation
(n=4) रखने पर (a_4=3(4)+2=14) है। पहले गुणा करें, फिर जोड़ें। / Putting (n=4), (a_4=3(4)+2=14). Multiply first, then add.
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यदि \(a_n=2n^2\) है, तो \(a_3\) का मान क्या है?
If \(a_n=2n^2\), what is the value of \(a_3\)?
#sequences
#nth_term
#square_rule
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A (12)
B (18)
C (20)
D (24)
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Explanation
Simple Explanation
(n=3) रखने पर (a_3=2\(3^2\)=18) है। वर्ग को गुणा से पहले निकालें। / Putting (n=3), (a_3=2\(3^2\)=18). Square before multiplying.
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यदि \(a_n=12-n\) है, तो \(a_5\) क्या होगा?
If \(a_n=12-n\), what will \(a_5\) be?
#sequences
#nth_term
#subtraction_rule
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A (5)
B (6)
C (7)
D (8)
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Explanation
Simple Explanation
(n=5) रखने पर \(a_5=12-5=7\) है। घटाव में क्रम का ध्यान रखें। / Putting (n=5), \(a_5=12-5=7\). Be careful with the order in subtraction.
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यदि \(a_n=5n-2\) है, तो पहला पद \(a_1\) क्या है?
If \(a_n=5n-2\), what is the first term \(a_1\)?
#sequences
#first_term
#nth_term
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A (1)
B (2)
C (4)
D (3)
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Explanation
Simple Explanation
(n=1) रखने पर (a_1=5(1)-2=3) है। पहला पद निकालने के लिए (n=1) रखें। / Putting (n=1), (a_1=5(1)-2=3). Use (n=1) to find the first term.
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नियम \(a_n=4n-1\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=4n-1\)?
#sequences
#nth_term
#first_terms
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A (3,7,11,15)
B (4,8,12,16)
C (1,5,9,13)
D (5,9,13,17)
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Correct Answer
A. (3,7,11,15)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (3,7,11,15) मिलते हैं। पहले चार पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (3,7,11,15). Start with (n=1) for the first four terms.
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नियम \(a_n=n^2-1\) से बनने वाले पहले तीन पद कौन से हैं?
What are the first three terms formed by \(a_n=n^2-1\)?
#sequences
#nth_term
#first_terms
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A (1,4,9)
B (0,3,8)
C (2,5,10)
D (0,2,6)
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Correct Answer
B. (0,3,8)
Explanation
Simple Explanation
(n=1,2,3) रखने पर (0,3,8) मिलते हैं। हर बार (n) का वर्ग लेकर (1) घटाएँ। / Putting (n=1,2,3) gives (0,3,8). Square (n) each time and subtract (1).
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नियम \(a_n=2^n\) से बनने वाले पहले चार पद कौन से हैं?
What are the first four terms formed by \(a_n=2^n\)?
#sequences
#nth_term
#power_sequence
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A (1,2,4,8)
B (2,3,4,5)
C (2,4,8,16)
D (4,8,16,32)
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Correct Answer
C. (2,4,8,16)
Explanation
Simple Explanation
(n=1,2,3,4) रखने पर (2,4,8,16) मिलते हैं। घात वाले नियम में (n) घात का स्थान है। / Putting (n=1,2,3,4) gives (2,4,8,16). In an exponent rule, (n) is the power position.
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क्रम \(8,12,16,20,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of \(8,12,16,20,\ldots\)?
#sequences
#term_finding
#arithmetic_sequence
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A (24)
B (26)
C (30)
D (28)
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Explanation
Simple Explanation
हर बार (4) बढ़ता है। (8,12,16,20,24,28) में (6)वाँ पद (28) है। / Each term increases by (4). In (8,12,16,20,24,28), the (6)th term is (28).
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क्रम \(90,84,78,72,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of \(90,84,78,72,\ldots\)?
#sequences
#decreasing_sequence
#term_finding
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A (60)
B (66)
C (62)
D (64)
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Explanation
Simple Explanation
हर बार (6) घटता है। (90,84,78,72,66,60) में (6)वाँ पद (60) है। / Each term decreases by (6). In (90,84,78,72,66,60), the (6)th term is (60).
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क्रम \(5,10,15,20,\ldots\) में (35) कौन सा पद है?
In \(5,10,15,20,\ldots\), which term is (35)?
#sequences
#position_of_term
#multiples
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A (6)ठा / (6)th
B (7)वाँ / (7)th
C (8)वाँ / (8)th
D (9)वाँ / (9)th
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Correct Answer
B. (7)वाँ / (7)th
Explanation
Simple Explanation
यह (5) के गुणजों का क्रम है। \(35=5\times7\), इसलिए यह (7)वाँ पद है। / This is a sequence of multiples of (5). Since \(35=5\times7\), it is the (7)th term.
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क्रम \(3,7,11,15,\ldots\) में (19) कौन सा पद है?
In \(3,7,11,15,\ldots\), which term is (19)?
#sequences
#position_of_term
#arithmetic_sequence
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A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
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Correct Answer
C. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (3,7,11,15,19) है। इसलिए (19) पाँचवाँ पद है। / The sequence is (3,7,11,15,19). So (19) is the fifth term.
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क्रम \(48,44,40,36,\ldots\) में (32) कौन सा पद है?
In \(48,44,40,36,\ldots\), which term is (32)?
#sequences
#position_of_term
#decreasing_sequence
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A (3)रा / (3)rd
B (4)था / (4)th
C (6)ठा / (6)th
D (5)वाँ / (5)th
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Correct Answer
D. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (48,44,40,36,32) है। इसलिए (32) पाँचवाँ पद है। / The sequence is (48,44,40,36,32). Therefore (32) is the fifth term.
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किस क्रम में (18) तीसरा पद है?
In which sequence is (18) the third term?
#sequences
#term_position
#counting
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A (6,12,18,24)
B (18,24,30,36)
C (9,18,27,36)
D (3,6,9,12)
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Correct Answer
A. (6,12,18,24)
Explanation
Simple Explanation
(6,12,18,24) में तीसरा पद (18) है। पदों को क्रम से गिनना जरूरी है। / In (6,12,18,24), the third term is (18). Counting terms in order is important.
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कौन सा क्रम (7) से शुरू होकर हर बार (5) जोड़ता है?
Which sequence starts with (7) and adds (5) each time?
#sequences
#rule_to_sequence
#arithmetic_pattern
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A (7,11,15,19)
B (7,12,17,22)
C (5,10,15,20)
D (12,17,22,27)
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Correct Answer
B. (7,12,17,22)
Explanation
Simple Explanation
(7,12,17,22) में हर बार (5) जोड़ा जाता है। पहले पद और अंतर दोनों जाँचें। / In (7,12,17,22), (5) is added each time. Check both the first term and the difference.
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कौन सा क्रम (64) से शुरू होकर हर बार (8) घटाता है?
Which sequence starts with (64) and subtracts (8) each time?
#sequences
#rule_to_sequence
#decreasing_sequence
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A (64,60,56,52)
B (64,50,36,22)
C (64,56,48,40)
D (64,48,32,16)
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Correct Answer
C. (64,56,48,40)
Explanation
Simple Explanation
(64,56,48,40) में हर बार (8) घटता है। नियम को लगातार पदों पर जाँचें। / In (64,56,48,40), (8) is subtracted each time. Check the rule on consecutive terms.
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क्रम \(13,17,21,25,\ldots\) में \(a_3\) क्या है?
In the sequence \(13,17,21,25,\ldots\), what is \(a_3\)?
#sequences
#notation
#third_term
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A (13)
B (17)
C (25)
D (21)
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Explanation
Simple Explanation
\(a_3\) तीसरे पद को दर्शाता है। इस क्रम में तीसरा पद (21) है। / \(a_3\) represents the third term. In this sequence, the third term is (21).
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क्रम \(70,63,56,49,\ldots\) में \(a_4\) क्या है?
In the sequence \(70,63,56,49,\ldots\), what is \(a_4\)?
#sequences
#notation
#fourth_term
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A (49)
B (56)
C (63)
D (70)
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Explanation
Simple Explanation
\(a_4\) चौथे पद को दर्शाता है। यहाँ चौथा पद (49) है। / \(a_4\) represents the fourth term. Here the fourth term is (49).
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क्रम \(2,11,20,29,\ldots\) में \(a_2\) क्या है?
In the sequence \(2,11,20,29,\ldots\), what is \(a_2\)?
#sequences
#notation
#second_term
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A (2)
B (11)
C (20)
D (29)
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Explanation
Simple Explanation
\(a_2\) दूसरा पद होता है। इस क्रम में दूसरा पद (11) है। / \(a_2\) is the second term. In this sequence, the second term is (11).
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क्रम \(18,24,30,36,\ldots\) में \(a_1\) क्या है?
In the sequence \(18,24,30,36,\ldots\), what is \(a_1\)?
#sequences
#notation
#first_term
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A (24)
B (30)
C (18)
D (36)
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Explanation
Simple Explanation
\(a_1\) पहला पद होता है। इस क्रम में पहला पद (18) है। / \(a_1\) is the first term. In this sequence, the first term is (18).
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क्रम \(1,3,6,10,15,\ldots\) का अगला पद क्या है?
What is the next term of \(1,3,6,10,15,\ldots\)?
#sequences
#triangular_numbers
#next_term
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A (18)
B (19)
C (20)
D (21)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (15+6=21)। / The differences are (2,3,4,5). The next difference is (6), so (15+6=21).
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क्रम \(2,5,10,17,26,\ldots\) का अगला पद क्या होगा?
What will be the next term of \(2,5,10,17,26,\ldots\)?
#sequences
#odd_difference
#next_term
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A (37)
B (35)
C (38)
D (40)
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Explanation
Simple Explanation
अंतर (3,5,7,9) हैं। अगला अंतर (11) होगा, इसलिए (26+11=37)। / The differences are (3,5,7,9). The next difference is (11), so (26+11=37).
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क्रम \(5,7,10,14,19,\ldots\) का अगला पद क्या है?
What is the next term of \(5,7,10,14,19,\ldots\)?
#sequences
#increasing_difference
#next_term
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A (23)
B (25)
C (24)
D (26)
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Explanation
Simple Explanation
अंतर (2,3,4,5) हैं। अगला अंतर (6) होगा, इसलिए (19+6=25)। / The differences are (2,3,4,5). The next difference is (6), so (19+6=25).
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क्रम \(120,60,30,15,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(120,60,30,15,\ldots\)?
#sequences
#halving_pattern
#next_term
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A (5)
B (6)
C (7.5)
D (8)
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Explanation
Simple Explanation
हर पद पिछले पद का आधा है। (15) का आधा (7.5) है। / Each term is half of the previous term. Half of (15) is (7.5).
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यदि \(a_n=6n+1\) है, तो \(a_3\) क्या होगा?
If \(a_n=6n+1\), what will \(a_3\) be?
#sequences
#nth_term
#linear_rule
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A (16)
B (18)
C (20)
D (19)
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Explanation
Simple Explanation
(n=3) रखने पर (a_3=6(3)+1=19) है। नियम में (n) का मान सही रखें। / Putting (n=3), (a_3=6(3)+1=19). Substitute the value of (n) correctly.
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यदि \(a_n=3n^2\) है, तो \(a_2\) का मान क्या है?
If \(a_n=3n^2\), what is the value of \(a_2\)?
#sequences
#nth_term
#square_rule
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A (12)
B (6)
C (9)
D (18)
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Explanation
Simple Explanation
(n=2) रखने पर (a_2=3\(2^2\)=12) है। पहले (n) का वर्ग निकालें। / Putting (n=2), (a_2=3\(2^2\)=12). First square (n).
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नियम \(a_n=15-2n\) से बनने वाले पहले तीन पद कौन से हैं?
What are the first three terms formed by \(a_n=15-2n\)?
#sequences
#nth_term
#first_terms
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A (15,13,11)
B (13,11,9)
C (14,12,10)
D (12,10,8)
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Correct Answer
B. (13,11,9)
Explanation
Simple Explanation
(n=1,2,3) रखने पर (13,11,9) मिलते हैं। पहले तीन पदों के लिए (n=1) से शुरू करें। / Putting (n=1,2,3) gives (13,11,9). Start with (n=1) for the first three terms.
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क्रम \(10,20,40,80,\ldots\) का अगला पद क्या है?
What is the next term of \(10,20,40,80,\ldots\)?
#sequences
#doubling_pattern
#next_term
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A (120)
B (140)
C (160)
D (180)
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Explanation
Simple Explanation
हर पद पिछले पद का (2) गुना है। \(80\times2=160\) होगा। / Each term is (2) times the previous term. \(80\times2=160\).
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क्रम \(2,4,3,6,4,8,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(2,4,3,6,4,8,\ldots\)?
#sequences
#pair_pattern
#next_term
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A (10)
B (6)
C (12)
D (5)
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Explanation
Simple Explanation
क्रम में जोड़े (2,4), (3,6), (4,8) हैं। इसलिए अगला पहला पद (5) होगा। / The pairs are (2,4), (3,6), and (4,8). So the next first term will be (5).
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क्रम \(1,3,7,9,13,\ldots\) का अगला पद क्या है?
What is the next term of \(1,3,7,9,13,\ldots\)?
#sequences
#alternating_difference
#next_term
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A (14)
B (15)
C (16)
D (17)
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Explanation
Simple Explanation
अंतर बारी-बारी से (2,4,2,4) हैं। इसलिए अगला अंतर (2) होगा और (13+2=15)। / The differences alternate as (2,4,2,4). So the next difference is (2), and (13+2=15).
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