Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 241-250 of 600 questions.
In the arithmetic progression \(24,18,12,6,\ldots\), which term is (0)?
B. (5)वाँ(5)th
(24+(n-1)(-6)=0) से (n=5) मिलता है। शून्य भी श्रेढ़ी का पद हो सकता है। / From (24+(n-1)(-6)=0), (n=5). Zero can also be a term of a progression.
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If (a=17) and (d=0), what will be the (10)th term?
C. (17)
(d=0) होने पर हर पद (17) ही रहेगा। स्थिर समानांतर श्रेढ़ी में सभी पद बराबर होते हैं। / When (d=0), every term remains (17). In a constant arithmetic progression all terms are equal.
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In the arithmetic progression \(1,7,13,19,\ldots\), what is the value of \(a_{11}-a_5\)?
C. (36)
\(a_{11}\) और \(a_5\) के बीच (6) अंतर हैं और (d=6), इसलिए अंतर (36) है। समानांतर श्रेढ़ी में पदों का अंतर पद-संख्या के अंतर पर निर्भर करता है। / There are (6) gaps between \(a_{11}\) and \(a_5\), and (d=6), so the difference is (36). In an arithmetic progression term difference depends on the difference of positions.
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Which option has the first four terms formed by \(a_n=10-3n\)?
A. (7,4,1,-2)
(n=1,2,3,4) रखने पर (7,4,1,-2) मिलते हैं। नियम से पद बनाते समय (n=1) से शुरू करें। / Putting (n=1,2,3,4) gives (7,4,1,-2). When forming terms from a rule start with (n=1).
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What is the sum of the first (6) terms of the arithmetic progression \(10,16,22,28,\ldots\)?
C. (150)
पहले (6) पद (10,16,22,28,34,40) हैं और योग (150) है। पद सही क्रम में लिखकर जोड़ें। / The first (6) terms are (10,16,22,28,34,40), and their sum is (150). Write the terms in correct order and add.
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If an arithmetic progression has \(a_2=9\) and \(a_8=39\), what is \(a_5\)?
C. (24)
\(a_2\) से \(a_8\) तक (6) अंतर में वृद्धि (30) है इसलिए (d=5), अतः (a_5=9+3(5)=24)। पहले समान अंतर निकालें। / From \(a_2\) to \(a_8\), the increase over (6) gaps is (30), so (d=5), hence (a_5=9+3(5)=24). Find the common difference first.
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In the arithmetic progression \(6,10,14,\ldots\), what are the next two terms?
B. (18,22)
समान अंतर (4) है इसलिए (14) के बाद (18) और (22) आएंगे। अगले पदों के लिए समान अंतर जोड़ते रहें। / The common difference is (4), so after (14) the next terms are (18) and (22). Keep adding the common difference for next terms.
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If (a=3) and (d=11), what will \(a_6-a_2\) be?
B. (44)
\(a_6\) और \(a_2\) के बीच (4) अंतर हैं इसलिए अंतर \(4\times11=44\) है। पदों के अंतर के लिए पद-संख्या का अंतर देखें। / There are (4) gaps between \(a_6\) and \(a_2\), so the difference is \(4\times11=44\). For term difference look at the difference of positions.
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What is the general term of the arithmetic progression \(27,30,33,36,\ldots\)?
A. \(a_n=3n+24\)
पहला पद (27) और (d=3) है इसलिए (a_n=27+(n-1)3=3n+24)। विकल्प की जांच के लिए (n=1) रखें। / The first term is (27) and (d=3), so (a_n=27+(n-1)3=3n+24). Put (n=1) to check an option.
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What is the first negative term in the arithmetic progression \(32,27,22,17,\ldots\)?
B. (8)वाँ(8)th
\(a_7=2\) और \(a_8=-3\), इसलिए पहला ऋणात्मक पद (8)वाँ है। शून्य से नीचे जाने वाला पहला पद ध्यान से जांचें। / \(a_7=2\) and \(a_8=-3\), so the first negative term is the (8)th. Check carefully for the first term that goes below zero.
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