Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 291-300 of 600 questions.
How many first terms of \(9,15,21,27,\ldots\) have sum (105)?
B. (5)
पहले (5) पद (9,15,21,27,33) हैं। उनका योग (105) है। / The first (5) terms are (9,15,21,27,33). Their sum is (105).
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In \(8,16,24,\ldots\), which term comes just before (56)?
C. (48)
क्रम (8,16,24,32,40,48,56) है। (56) से ठीक पहले (48) आता है। / The sequence is (8,16,24,32,40,48,56). The term just before (56) is (48).
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In \(192,96,48,24,\ldots\), which term comes just before (6)?
C. (12)
हर बार आधा हो रहा है। क्रम (192,96,48,24,12,6) है, इसलिए (6) से पहले (12) है। / Each term is halved. The sequence is (192,96,48,24,12,6), so (12) comes before (6).
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Which statement is correct for the (n)th term of \(14,19,24,\ldots\)?
A. यह (5n+9) हैIt is (5n+9)
(n=1) पर (5(1)+9=14) और अंतर (5) मिलता है। इसलिए सही नियम (5n+9) है। / At (n=1), (5(1)+9=14), and the difference is (5). So the correct rule is (5n+9).
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Which is the correct rule for the (n)th term of \(84,76,68,\ldots\)?
A. \(a_n=92-8n\)
(n=1) रखने पर (92-8=84) मिलता है। यह हर बार (8) घटाने वाला नियम है। / Putting (n=1) gives (92-8=84). This rule decreases by (8) each time.
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If \(a_1=6\), \(a_2=11\), and each next term is the sum of the previous two terms, what is \(a_5\)?
A. (45)
क्रम (6,11,17,28,45) बनेगा। इसलिए \(a_5=45\) है। / The sequence becomes (6,11,17,28,45). Therefore \(a_5=45\).
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If \(a_n=1280\) in the sequence \(5,20,80,320,\ldots\), what is (n)?
B. (5)
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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What will be the next term of \(10,13,18,25,34,\ldots\)?
B. (45)
अंतर (3,5,7,9) हैं। अगला अंतर (11) होगा, इसलिए (34+11=45)। / The differences are (3,5,7,9). The next difference is (11), so (34+11=45).
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What is the next term of \(12,18,27,39,\ldots\) if the differences increase as \(6,9,12,\ldots\)?
C. (54)
अंतर (6,9,12) हैं, इसलिए अगला अंतर (15) होगा। (39+15=54) अगला पद है। / The differences are (6,9,12), so the next difference will be (15). (39+15=54) is the next term.
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If \(a_n=2n^2+n\), what is the value of \(a_5-a_3\)?
D. (34)
(a_5=2\(5^2\)+5=55) और (a_3=2\(3^2\)+3=21) है। इसलिए अंतर (55-21=34) है। / (a_5=2\(5^2\)+5=55) and (a_3=2\(3^2\)+3=21). Therefore the difference is (55-21=34).
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