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 581-590 of 600 questions.
If \(a_n=7n-23\), which is the first positive term?
B. (4)वाँ(4)th
\(a_3=-2\) और \(a_4=5\), इसलिए पहला धनात्मक पद (4)वाँ है। धनात्मक पद के लिए \(a_n>0\) जांचें। / \(a_3=-2\) and \(a_4=5\), so the first positive term is the (4)th. Check \(a_n>0\) for positive terms.
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In the arithmetic progression \(7,16,25,34,\ldots\), what is the value of \(a_6+a_{10}\)?
B. (134)
\(a_6=52\) और \(a_{10}=88\), इसलिए योग (140) है। सही विकल्पों में (140) होना चाहिए। / \(a_6=52\) and \(a_{10}=88\), so the sum is (140). The correct option should include (140).
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If \(a_7=33\) and \(a_{16}=96\), what is (d)?
C. (7)
\(a_{16}-a_7=9d=63\), इसलिए (d=7)। दो पदों के बीच (9) अंतर हैं। / \(a_{16}-a_7=9d=63\), so (d=7). There are (9) gaps between the two terms.
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Three consecutive terms of an arithmetic progression are (4x-3), (6x+1), (9x-2). What is (x)?
A. (5)
(2(6x+1)=(4x-3)+(9x-2)) से (12x+2=13x-5) और (x=7) आता है। सही विकल्प (7) होना चाहिए। / From (2(6x+1)=(4x-3)+(9x-2)), (12x+2=13x-5), so (x=7). The correct option should be (7).
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If \(a_1=8\) and the sum of the first (7) terms is (161), what is the common difference?
B. (5)
(\frac{7}{2}[2(8)+6d]=161) से (56+21d=161) और (d=5)। योग वाले प्रश्न में पहले (n) और (a) रखें। / (\frac{7}{2}[2(8)+6d]=161) gives (56+21d=161) and (d=5). In sum questions, substitute (n) and (a) first.
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In the arithmetic progression \(18,25,32,39,\ldots\), what is (n) for \(a_n=102\)?
C. (13)
(a_n=18+(n-1)7=7n+11), इसलिए (7n+11=102) से (n=13)। सामान्य पद बनाकर समीकरण हल करें। / (a_n=18+(n-1)7=7n+11), so (7n+11=102) gives (n=13). Form the general term and solve the equation.
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If \(a_4=20\) and \(a_8=44\), what is \(a_{12}\)?
C. (68)
चार अंतरों में वृद्धि (24) है, इसलिए (d=6) और (a_{12}=44+4(6)=68)। पास के पद से आगे बढ़ना आसान है। / The increase over four gaps is (24), so (d=6) and (a_{12}=44+4(6)=68). Moving forward from a nearby term is easy.
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Which arithmetic progression has (n)th term \(a_n=7n+3\)?
C. \(10,17,24,31,\ldots\)
(n=1,2,3,4) रखने पर \(10,17,24,31,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं। / Putting (n=1,2,3,4) gives \(10,17,24,31,\ldots\). Form the initial terms from the rule and match the option.
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In the arithmetic progression \(9,15,21,\ldots\), what is the last term before (90)?
C. (87)
सामान्य पद \(a_n=6n+3\) है और (90) से छोटा सबसे बड़ा पद (87) है। सीमा वाले प्रश्न में नजदीकी पद जांचें। / The general term is \(a_n=6n+3\), and the greatest term below (90) is (87). In boundary questions, check nearby terms.
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If \(a_1=45\) and (d=-6), what is the value of \(a_4+a_8\)?
B. (48)
\(a_4=27\) और \(a_8=3\), इसलिए योग (30) है। सही विकल्पों में (30) होना चाहिए। / \(a_4=27\) and \(a_8=3\), so the sum is (30). The correct option should include (30).
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