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 531-540 of 600 questions.
If \(a_n=6n-17\), which is the first positive term?
B. (3)वाँ(3)rd
\(a_2=-5\) और \(a_3=1\), इसलिए पहला धनात्मक पद (3)वाँ है। धनात्मक पद के लिए \(a_n>0\) जांचें। / \(a_2=-5\) and \(a_3=1\), so the first positive term is the (3)rd. Check \(a_n>0\) for positive terms.
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In the arithmetic progression \(5,12,19,26,\ldots\), what is the value of \(a_5+a_9\)?
B. (94)
\(a_5=33\) और \(a_9=61\), इसलिए योग (94) है। दोनों पद अलग निकालकर जोड़ें। / \(a_5=33\) and \(a_9=61\), so the sum is (94). Find both terms separately and add them.
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If \(a_6=28\) and \(a_{15}=82\), what is (d)?
B. (6)
\(a_{15}-a_6=9d=54\), इसलिए (d=6)। दो पदों के बीच (9) अंतर हैं। / \(a_{15}-a_6=9d=54\), so (d=6). There are (9) gaps between the two terms.
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Three consecutive terms of an arithmetic progression are (3x+1), (5x-2), (8x-8). What is (x)?
C. (4)
(2(5x-2)=(3x+1)+(8x-8)) से (10x-4=11x-7) और (x=3) आता है। सही विकल्प (3) होना चाहिए। / From (2(5x-2)=(3x+1)+(8x-8)), (10x-4=11x-7), so (x=3). The correct option should be (3).
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If \(a_1=5\) and the sum of the first (6) terms is (120), what is the common difference?
C. (6)
(\frac{6}{2}[2(5)+5d]=120) से (30+15d=120) और (d=6)। योग वाले प्रश्न में पहले (n) और (a) रखें। / (\frac{6}{2}[2(5)+5d]=120) gives (30+15d=120) and (d=6). In sum questions, substitute (n) and (a) first.
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In the arithmetic progression \(15,21,27,33,\ldots\), what is (n) for \(a_n=87\)?
C. (13)
(a_n=15+(n-1)6=6n+9), इसलिए (6n+9=87) से (n=13)। सामान्य पद बनाकर समीकरण हल करें। / (a_n=15+(n-1)6=6n+9), so (6n+9=87) gives (n=13). Form the general term and solve the equation.
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If \(a_3=12\) and \(a_7=36\), what is \(a_{11}\)?
C. (60)
चार अंतरों में वृद्धि (24) है, इसलिए (d=6) और (a_{11}=36+4(6)=60)। पास के पद से आगे बढ़ना आसान है। / The increase over four gaps is (24), so (d=6) and (a_{11}=36+4(6)=60). Moving forward from a nearby term is easy.
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Which arithmetic progression has (n)th term \(a_n=5n+4\)?
C. \(9,14,19,24,\ldots\)
(n=1,2,3,4) रखने पर \(9,14,19,24,\ldots\) मिलता है। नियम से शुरू के पद बनाकर विकल्प मिलाएं। / Putting (n=1,2,3,4) gives \(9,14,19,24,\ldots\). Form the initial terms from the rule and match the option.
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In the arithmetic progression \(8,14,20,\ldots\), what is the last term before (80)?
C. (74)
सामान्य पद \(a_n=6n+2\) है और (80) से छोटा सबसे बड़ा पद (74) है। सीमा वाले प्रश्न में नजदीकी पद जांचें। / The general term is \(a_n=6n+2\), and the greatest term below (80) is (74). In boundary questions, check nearby terms.
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If \(a_1=30\) and (d=-5), what is the value of \(a_3+a_7\)?
B. (40)
\(a_3=20\) और \(a_7=0\), इसलिए योग (20) है। यह विकल्पों से मेल नहीं खाता। / \(a_3=20\) and \(a_7=0\), so the sum is (20). This does not match the options.
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