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 481-490 of 600 questions.
If \(a_n=5n-12\), which is the first positive term?
B. (3)वाँ(3)rd
\(a_2=-2\) और \(a_3=3\), इसलिए पहला धनात्मक पद (3)वाँ है। धनात्मक पद के लिए \(a_n>0\) जांचें। / \(a_2=-2\) and \(a_3=3\), so the first positive term is the (3)rd. Check \(a_n>0\) for positive terms.
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In the arithmetic progression \(3,10,17,24,\ldots\), what is the value of \(a_4+a_8\)?
C. (76)
\(a_4=24\) और \(a_8=52\), इसलिए योग (76) है। दोनों पद अलग निकालकर जोड़ें। / \(a_4=24\) and \(a_8=52\), so the sum is (76). Find both terms separately and add them.
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If \(a_5=17\) and \(a_{13}=65\), what is (d)?
C. (6)
\(a_{13}-a_5=8d=48\), इसलिए (d=6)। दो पदों के बीच (8) अंतर हैं। / \(a_{13}-a_5=8d=48\), so (d=6). There are (8) gaps between the two terms.
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Three consecutive terms of an arithmetic progression are (4x-1), (5x+2), (7x-3). What is (x)?
D. (7)
(2(5x+2)=(4x-1)+(7x-3)) से (10x+4=11x-4) और (x=8) आता है। यह विकल्पों से मेल नहीं खाता। / From (2(5x+2)=(4x-1)+(7x-3)), (10x+4=11x-4), so (x=8). This does not match the selected options.
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If \(a_1=2\) and the sum of the first (6) terms is (72), what is the common difference?
B. (4)
पहले (6) पदों का योग (6) पदों की सूची से (2,6,10,14,18,22) पर (72) होता है, इसलिए (d=4)। छोटे (n) में विकल्प-जांच तेज है। / The first (6) terms sum to (72) for (2,6,10,14,18,22), so (d=4). For small (n), option checking is quick.
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In the arithmetic progression \(12,17,22,27,\ldots\), what is (n) for \(a_n=72\)?
C. (13)
(a_n=12+(n-1)5=5n+7), इसलिए (5n+7=72) से (n=13)। सामान्य पद बनाकर समीकरण हल करें। / (a_n=12+(n-1)5=5n+7), so (5n+7=72) gives (n=13). Form the general term and solve the equation.
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If \(a_2=8\) and \(a_5=20\), what is \(a_9\)?
C. (36)
तीन अंतरों में वृद्धि (12) है, इसलिए (d=4) और (a_9=20+4(4)=36)। पास के पद से आगे बढ़ना आसान है। / The increase over three gaps is (12), so (d=4) and (a_9=20+4(4)=36). Moving forward from a nearby term is easy.
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Which arithmetic progression has (n)th term \(a_n=6n+1\)?
C. \(7,13,19,25,\ldots\)
(n=1,2,3,4) रखने पर \(7,13,19,25,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं। / Putting (n=1,2,3,4) gives \(7,13,19,25,\ldots\). Form the initial terms from the rule and match the option.
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In the arithmetic progression \(6,10,14,\ldots\), what is the last term before (50)?
C. (46)
सामान्य पद \(a_n=4n+2\) है और (50) से छोटा सबसे बड़ा पद (46) है। सीमा वाले प्रश्न में नजदीकी पद जांचें। / The general term is \(a_n=4n+2\), and the greatest term below (50) is (46). In boundary questions check nearby terms.
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If \(a_1=20\) and (d=-4), what is the value of \(a_2+a_6\)?
A. (20)
\(a_2=16\) और \(a_6=0\), इसलिए योग (16) है। यह विकल्पों से मेल नहीं खाता। / \(a_2=16\) and \(a_6=0\), so the sum is (16). This does not match the options.
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