Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 181-190 of 600 questions.
In the arithmetic progression \(13,19,25,31,\ldots\), which term is (61)?
C. (9)वाँ(9)th
(13+(n-1)6=61) से (6(n-1)=48) और (n=9)। पद की स्थिति के लिए रैखिक समीकरण हल करें। / From (13+(n-1)6=61), (6(n-1)=48) and (n=9). Solve the linear equation to find the position of a term.
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C. (4)
तीसरे से पाँचवें पद तक (2) अंतर हैं और वृद्धि (8) है, इसलिए (d=4)। पदों के बीच अंतरालों की संख्या गिनें। / From the third to the fifth term there are (2) gaps and the increase is (8), so (d=4). Count the number of gaps between terms.
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What is the (n)th term of the arithmetic progression \(22,18,14,10,\ldots\)?
A. \(a_n=26-4n\)
पहला पद (22) और (d=-4) है इसलिए (a_n=22+(n-1)(-4)=26-4n)। घटते क्रम में (d) को ऋणात्मक रखें। / The first term is (22) and (d=-4), so (a_n=22+(n-1)(-4)=26-4n). Keep (d) negative in a decreasing sequence.
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What is the average of the first (3) terms of the arithmetic progression \(2,8,14,20,\ldots\)?
C. (8)
पहले तीन पदों का औसत \(\frac{2+8+14}{3}=8\) है। समानांतर श्रेढ़ी में तीन क्रमिक पदों का औसत बीच वाला पद होता है। / The average of the first three terms is \(\frac{2+8+14}{3}=8\). In an arithmetic progression, the average of three consecutive terms is the middle term.
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If an arithmetic progression has (a=6) and \(a_5=30\), what is (d)?
C. (6)
\(a_5=6+4d=30\) से (4d=24) और (d=6)। पाँचवें पद तक चार समान अंतर जुड़ते हैं। / From \(a_5=6+4d=30\), (4d=24) and (d=6). Up to the fifth term, four common differences are added.
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Which option is an arithmetic progression with (d=0)?
A. \(4,4,4,4,\ldots\)
सभी पद (4) हैं इसलिए हर अंतर (0) है। स्थिर अनुक्रम भी समानांतर श्रेढ़ी होता है। / All terms are (4), so every difference is (0). A constant sequence is also an arithmetic progression.
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What is the (6)th term of the arithmetic progression \(17,23,29,35,\ldots\)?
C. (47)
यहाँ (a=17) और (d=6), इसलिए (a_6=17+5(6)=47)। (6)वें पद तक पाँच अंतर जुड़ते हैं। / Here (a=17) and (d=6), so (a_6=17+5(6)=47). Up to the (6)th term, five gaps are added.
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If \(a_n=5n+3\), what is the value of \(a_2+a_4\)?
D. (36)
\(a_2=13\) और \(a_4=23\), इसलिए योग (36) है। जोड़ने से पहले दोनों पद अलग निकालें। / \(a_2=13\) and \(a_4=23\), so the sum is (36). Find both terms separately before adding.
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Which term of the arithmetic progression \(50,45,40,35,\ldots\) is (0)?
C. (11)वाँ(11)th
(50+(n-1)(-5)=0) से (n=11)। शून्य भी श्रेढ़ी का पद हो सकता है। / From (50+(n-1)(-5)=0), (n=11). Zero can also be a term of a progression.
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In an arithmetic progression, (a=2) and (d=9). What will be \(a_8\)?
D. (65)
(a_8=2+7(9)=65)। आठवें पद तक सात समान अंतर जोड़े जाते हैं। / (a_8=2+7(9)=65). Up to the eighth term, seven common differences are added.
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