Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 341-350 of 600 questions.
What is the ratio of the (3)rd terms of \(6,30,150,\ldots\) and \(8,40,200,\ldots\)?
A. (3:4)
तीसरे पद (150) और (200) हैं। उनका अनुपात (150:200=3:4) है। / The third terms are (150) and (200). Their ratio is (150:200=3:4).
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How many first terms of \(10,18,26,34,\ldots\) have sum (130)?
B. (5)
पहले (5) पद (10,18,26,34,42) हैं। उनका योग (130) है। / The first (5) terms are (10,18,26,34,42). Their sum is (130).
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In \(12,21,30,\ldots\), which term comes just before (75)?
C. (66)
क्रम (12,21,30,39,48,57,66,75) है। (75) से ठीक पहले (66) आता है। / The sequence is (12,21,30,39,48,57,66,75). The term just before (75) is (66).
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In \(384,192,96,48,\ldots\), which term comes just before (12)?
C. (24)
हर बार आधा हो रहा है। क्रम (384,192,96,48,24,12) है, इसलिए (12) से पहले (24) है। / Each term is halved. The sequence is (384,192,96,48,24,12), so (24) comes before (12).
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Which statement is correct for the (n)th term of \(17,23,29,\ldots\)?
A. यह (6n+11) हैIt is (6n+11)
(n=1) पर (6(1)+11=17) और अंतर (6) मिलता है। इसलिए सही नियम (6n+11) है। / At (n=1), (6(1)+11=17), and the difference is (6). So the correct rule is (6n+11).
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Which is the correct rule for the (n)th term of \(108,99,90,\ldots\)?
A. \(a_n=117-9n\)
(n=1) रखने पर (117-9=108) मिलता है। यह हर बार (9) घटाने वाला नियम है। / Putting (n=1) gives (117-9=108). This rule decreases by (9) each time.
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If \(a_1=8\), \(a_2=13\), and each next term is the sum of the previous two terms, what is \(a_6\)?
C. (76)
क्रम (8,13,21,34,55,89) बनेगा। इसलिए \(a_6=89\), अतः दिए गए विकल्पों में सही मान नहीं है। / The sequence becomes (8,13,21,34,55,89). Therefore \(a_6=89\), so the correct value is not in the options.
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If \(a_n=1536\) in the sequence \(6,24,96,384,\ldots\), what is (n)?
B. (5)
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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If \(a_n=4n^2-3n+2\), what is the value of \(a_5-a_2\)?
B. (78)
(a_5=4\(5^2\)-3(5)+2=87) और (a_2=4\(2^2\)-3(2)+2=9) है। इसलिए अंतर (87-9=78) है। / (a_5=4\(5^2\)-3(5)+2=87) and (a_2=4\(2^2\)-3(2)+2=9). Therefore the difference is (87-9=78).
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What is the next term in \(3,7,15,31,\ldots\) if the rule is double the previous term and add (1)?
C. (63)
नियम के अनुसार \(31\times2+1=63\) है। अंतिम पद पर नियम लगाकर अगला पद निकालें। / By the rule, \(31\times2+1=63\). Apply the rule to the last term to get the next term.
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