यदि क्रम \(8,40,200,1000,\ldots\) में \(a_n=5000\) है, तो (n) क्या है?
If \(a_n=5000\) in the sequence \(8,40,200,1000,\ldots\), what is (n)?
#sequences
#position_of_term
#geometric_pattern
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
क्रम (8,40,200,1000,5000) है। (5000) पाँचवाँ पद है इसलिए (n=5)। / The sequence is (8,40,200,1000,5000). (5000) is the fifth term, so (n=5).
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क्रम \(10,18,26,34,\ldots\) में कौन सा पद (90) है?
Which term is (90) in \(10,18,26,34,\ldots\)?
#sequences
#position_of_term
#nth_term
A (9)वाँ / (9)th
B (10)वाँ / (10)th
C (11)वाँ / (11)th
D (12)वाँ / (12)th
Explanation opens after your attempt
Correct Answer
C. (11)वाँ / (11)th
Explanation
Simple Explanation
पहला पद (10) और अंतर (8) है। (10+(n-1)8=90) से (n=11) मिलता है। / The first term is (10) and the difference is (8). From (10+(n-1)8=90), (n=11).
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क्रम \(170,158,146,134,\ldots\) में (74) कौन सा पद है?
In \(170,158,146,134,\ldots\), which term is (74)?
#sequences
#position_of_term
#decreasing_sequence
A (7)वाँ / (7)th
B (8)वाँ / (8)th
C (9)वाँ / (9)th
D (10)वाँ / (10)th
Explanation opens after your attempt
Correct Answer
C. (9)वाँ / (9)th
Explanation
Simple Explanation
हर बार (12) घट रहा है। (170-(n-1)12=74) से (n=9) है। / Each term decreases by (12). From (170-(n-1)12=74), (n=9).
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क्रम \(15,24,33,42,\ldots\) में (105) कौन सा पद होगा?
In \(15,24,33,42,\ldots\), which term will (105) be?
#sequences
#position_of_term
#arithmetic_pattern
A (9)वाँ / (9)th
B (10)वाँ / (10)th
C (11)वाँ / (11)th
D (12)वाँ / (12)th
Explanation opens after your attempt
Correct Answer
C. (11)वाँ / (11)th
Explanation
Simple Explanation
पहला पद (15) और अंतर (9) है। (15+(n-1)9=105) से (n=11) मिलता है। / The first term is (15) and the difference is (9). From (15+(n-1)9=105), (n=11).
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क्रम \(9,27,81,243,\ldots\) में (729) कौन सा पद है?
In \(9,27,81,243,\ldots\), which term is (729)?
#sequences
#position_of_term
#geometric_pattern
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
B. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (9,27,81,243,729) है। इसलिए (729) (5)वाँ पद है। / The sequence is (9,27,81,243,729). So (729) is the (5)th term.
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यदि क्रम \(6,24,96,384,\ldots\) में \(a_n=1536\) है, तो (n) क्या है?
If \(a_n=1536\) in the sequence \(6,24,96,384,\ldots\), what is (n)?
#sequences
#position_of_term
#geometric_pattern
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
क्रम (6,24,96,384,1536) है। (1536) पाँचवाँ पद है, इसलिए (n=5)। / The sequence is (6,24,96,384,1536). (1536) is the fifth term, so (n=5).
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क्रम \(6,13,20,27,\ldots\) में कौन सा पद (76) है?
Which term is (76) in \(6,13,20,27,\ldots\)?
#sequences
#position_of_term
#nth_term
A (9)वाँ / (9)th
B (10)वाँ / (10)th
C (11)वाँ / (11)th
D (12)वाँ / (12)th
Explanation opens after your attempt
Correct Answer
C. (11)वाँ / (11)th
Explanation
Simple Explanation
पहला पद (6) और अंतर (7) है। (6+(n-1)7=76) से (n=11) मिलता है। / The first term is (6) and the difference is (7). From (6+(n-1)7=76), (n=11).
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क्रम \(140,131,122,113,\ldots\) में (77) कौन सा पद है?
In \(140,131,122,113,\ldots\), which term is (77)?
#sequences
#position_of_term
#decreasing_sequence
A (7)वाँ / (7)th
B (8)वाँ / (8)th
C (9)वाँ / (9)th
D (10)वाँ / (10)th
Explanation opens after your attempt
Correct Answer
B. (8)वाँ / (8)th
Explanation
Simple Explanation
हर बार (9) घट रहा है। (140-(n-1)9=77) से (n=8) है। / Each term decreases by (9). From (140-(n-1)9=77), (n=8).
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क्रम \(11,19,27,35,\ldots\) में (83) कौन सा पद होगा?
In \(11,19,27,35,\ldots\), which term will (83) be?
#sequences
#position_of_term
#arithmetic_pattern
A (8)वाँ / (8)th
B (9)वाँ / (9)th
C (10)वाँ / (10)th
D (11)वाँ / (11)th
Explanation opens after your attempt
Correct Answer
C. (10)वाँ / (10)th
Explanation
Simple Explanation
पहला पद (11) और अंतर (8) है। (11+(n-1)8=83) से (n=10) मिलता है। / The first term is (11) and the difference is (8). From (11+(n-1)8=83), (n=10).
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क्रम \(5,20,80,320,\ldots\) में (1280) कौन सा पद है?
In \(5,20,80,320,\ldots\), which term is (1280)?
#sequences
#position_of_term
#geometric_pattern
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
B. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (5,20,80,320,1280) है। इसलिए (1280) (5)वाँ पद है। / The sequence is (5,20,80,320,1280). So (1280) is the (5)th term.
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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)?
#sequences
#position_of_term
#geometric_pattern
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
क्रम (5,20,80,320,1280) है। (1280) पाँचवाँ पद है, इसलिए (n=5)। / The sequence is (5,20,80,320,1280). (1280) is the fifth term, so (n=5).
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क्रम \(4,10,16,22,\ldots\) में कौन सा पद (58) है?
Which term is (58) in \(4,10,16,22,\ldots\)?
#sequences
#position_of_term
#nth_term
A (8)वाँ / (8)th
B (9)वाँ / (9)th
C (10)वाँ / (10)th
D (11)वाँ / (11)th
Explanation opens after your attempt
Correct Answer
C. (10)वाँ / (10)th
Explanation
Simple Explanation
पहला पद (4) और अंतर (6) है। (4+(n-1)6=58) से (n=10) मिलता है। / The first term is (4) and the difference is (6). From (4+(n-1)6=58), (n=10).
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क्रम \(100,91,82,73,\ldots\) में (46) कौन सा पद है?
In \(100,91,82,73,\ldots\), which term is (46)?
#sequences
#position_of_term
#decreasing_sequence
A (5)वाँ / (5)th
B (6)ठा / (6)th
C (7)वाँ / (7)th
D (8)वाँ / (8)th
Explanation opens after your attempt
Correct Answer
C. (7)वाँ / (7)th
Explanation
Simple Explanation
हर बार (9) घट रहा है। (100-(n-1)9=46) से (n=7) है। / Each term decreases by (9). From (100-(n-1)9=46), (n=7).
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क्रम \(12,19,26,33,\ldots\) में (75) कौन सा पद होगा?
In \(12,19,26,33,\ldots\), which term will (75) be?
#sequences
#position_of_term
#arithmetic_pattern
A (8)वाँ / (8)th
B (9)वाँ / (9)th
C (10)वाँ / (10)th
D (11)वाँ / (11)th
Explanation opens after your attempt
Correct Answer
C. (10)वाँ / (10)th
Explanation
Simple Explanation
पहला पद (12) और अंतर (7) है। (12+(n-1)7=75) से (n=10) मिलता है। / The first term is (12) and the difference is (7). From (12+(n-1)7=75), (n=10).
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क्रम \(7,21,63,189,\ldots\) में (567) कौन सा पद है?
In \(7,21,63,189,\ldots\), which term is (567)?
#sequences
#position_of_term
#geometric_pattern
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
B. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (7,21,63,189,567) है। इसलिए (567) (5)वाँ पद है। / The sequence is (7,21,63,189,567). So (567) is the (5)th term.
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यदि क्रम \(3,12,48,192,\ldots\) में \(a_n=768\) है, तो (n) क्या है?
If \(a_n=768\) in the sequence \(3,12,48,192,\ldots\), what is (n)?
#sequences
#position_of_term
#geometric_pattern
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
क्रम (3,12,48,192,768) है। (768) पाँचवाँ पद है, इसलिए (n=5)। / The sequence is (3,12,48,192,768). (768) is the fifth term, so (n=5).
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क्रम \(2,7,12,17,\ldots\) में कौन सा पद (47) है?
Which term is (47) in \(2,7,12,17,\ldots\)?
#sequences
#position_of_term
#nth_term
A (8)वाँ / (8)th
B (9)वाँ / (9)th
C (10)वाँ / (10)th
D (11)वाँ / (11)th
Explanation opens after your attempt
Correct Answer
C. (10)वाँ / (10)th
Explanation
Simple Explanation
पहला पद (2) और अंतर (5) है। (2+(n-1)5=47) से (n=10) मिलता है। / The first term is (2) and the difference is (5). From (2+(n-1)5=47), (n=10).
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क्रम \(88,82,76,70,\ldots\) में (52) कौन सा पद है?
In \(88,82,76,70,\ldots\), which term is (52)?
#sequences
#position_of_term
#decreasing_sequence
A (6)ठा / (6)th
B (7)वाँ / (7)th
C (8)वाँ / (8)th
D (9)वाँ / (9)th
Explanation opens after your attempt
Correct Answer
B. (7)वाँ / (7)th
Explanation
Simple Explanation
हर बार (6) घट रहा है। (88-(n-1)6=52) से (n=7) है। / Each term decreases by (6). From (88-(n-1)6=52), (n=7).
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क्रम \(8,15,22,29,\ldots\) में (57) कौन सा पद होगा?
In \(8,15,22,29,\ldots\), which term will (57) be?
#sequences
#position_of_term
#arithmetic_pattern
A (7)वाँ / (7)th
B (8)वाँ / (8)th
C (9)वाँ / (9)th
D (10)वाँ / (10)th
Explanation opens after your attempt
Correct Answer
B. (8)वाँ / (8)th
Explanation
Simple Explanation
पहला पद (8) और अंतर (7) है। (8+(n-1)7=57) से (n=8) मिलता है। / The first term is (8) and the difference is (7). From (8+(n-1)7=57), (n=8).
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क्रम \(4,12,36,108,\ldots\) में (324) कौन सा पद है?
In \(4,12,36,108,\ldots\), which term is (324)?
#sequences
#position_of_term
#geometric_pattern
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
B. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (4,12,36,108,324) है। इसलिए (324) (5)वाँ पद है। / The sequence is (4,12,36,108,324). So (324) is the (5)th term.
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यदि क्रम \(2,6,18,54,\ldots\) में \(a_n=162\) है, तो (n) क्या है?
If \(a_n=162\) in the sequence \(2,6,18,54,\ldots\), what is (n)?
#sequences
#position_of_term
#geometric_pattern
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Explanation
Simple Explanation
क्रम (2,6,18,54,162) है। (162) पाँचवाँ पद है, इसलिए (n=5)। / The sequence is (2,6,18,54,162). (162) is the fifth term, so (n=5).
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क्रम \(1,4,7,10,\ldots\) में कौन सा पद (22) है?
Which term is (22) in \(1,4,7,10,\ldots\)?
#sequences
#position_of_term
#nth_term
A (7)वाँ / (7)th
B (8)वाँ / (8)th
C (9)वाँ / (9)th
D (10)वाँ / (10)th
Explanation opens after your attempt
Correct Answer
B. (8)वाँ / (8)th
Explanation
Simple Explanation
पहला पद (1) और अंतर (3) है। (1+(n-1)3=22) से (n=8) मिलता है। / The first term is (1) and the difference is (3). From (1+(n-1)3=22), (n=8).
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क्रम \(75,69,63,57,\ldots\) में (39) कौन सा पद है?
In \(75,69,63,57,\ldots\), which term is (39)?
#sequences
#position_of_term
#decreasing_sequence
A (6)ठा / (6)th
B (7)वाँ / (7)th
C (8)वाँ / (8)th
D (9)वाँ / (9)th
Explanation opens after your attempt
Correct Answer
B. (7)वाँ / (7)th
Explanation
Simple Explanation
हर बार (6) घट रहा है। (75-(n-1)6=39) से (n=7) है। / Each term decreases by (6). From (75-(n-1)6=39), (n=7).
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क्रम \(9,14,19,24,\ldots\) में (49) कौन सा पद होगा?
In \(9,14,19,24,\ldots\), which term will (49) be?
#sequences
#position_of_term
#arithmetic_pattern
A (8)वाँ / (8)th
B (9)वाँ / (9)th
C (10)वाँ / (10)th
D (11)वाँ / (11)th
Explanation opens after your attempt
Correct Answer
B. (9)वाँ / (9)th
Explanation
Simple Explanation
पहला पद (9) और अंतर (5) है। (9+(n-1)5=49) से (n=9) मिलता है। / The first term is (9) and the difference is (5). From (9+(n-1)5=49), (n=9).
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क्रम \(6,12,24,48,\ldots\) में (192) कौन सा पद है?
In \(6,12,24,48,\ldots\), which term is (192)?
#sequences
#position_of_term
#doubling_pattern
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
C. (6)ठा / (6)th
Explanation
Simple Explanation
क्रम (6,12,24,48,96,192) है। इसलिए (192) (6)ठा पद है। / The sequence is (6,12,24,48,96,192). So (192) is the (6)th 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
A (3)रा / (3)rd
B (4)था / (4)th
C (6)ठा / (6)th
D (5)वाँ / (5)th
Explanation opens after your attempt
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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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
A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
Explanation opens after your attempt
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 \(5,10,15,20,\ldots\) में (35) कौन सा पद है?
In \(5,10,15,20,\ldots\), which term is (35)?
#sequences
#position_of_term
#multiples
A (6)ठा / (6)th
B (7)वाँ / (7)th
C (8)वाँ / (8)th
D (9)वाँ / (9)th
Explanation opens after your attempt
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 \(6,12,18,24,\ldots\) में (36) कौन सा पद है?
In \(6,12,18,24,\ldots\), which term is (36)?
#sequences
#position_of_term
#multiples
A (4)था / (4)th
B (5)वाँ / (5)th
C (6)ठा / (6)th
D (7)वाँ / (7)th
Explanation opens after your attempt
Correct Answer
C. (6)ठा / (6)th
Explanation
Simple Explanation
क्रम में \(36=6\times6\) है। इसलिए यह छठा पद है। / Here \(36=6\times6\). So it is the sixth term.
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क्रम \(50,45,40,35,\ldots\) में (30) कौन सा पद है?
In \(50,45,40,35,\ldots\), which term is (30)?
#sequences
#position_of_term
#decreasing_sequence
A (3)रा / (3)rd
B (4)था / (4)th
C (5)वाँ / (5)th
D (6)ठा / (6)th
Explanation opens after your attempt
Correct Answer
C. (5)वाँ / (5)th
Explanation
Simple Explanation
क्रम (50,45,40,35,30) है। इसलिए (30) पाँचवाँ पद है। / The sequence is (50,45,40,35,30). Therefore (30) is the fifth term.
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