Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 131-140 of 600 questions.
If (a=3) and (d=8), what are the first three terms?
B. (3,11,19)
पहला पद (3) है और हर बार (8) जोड़ना है। इसलिए पहले तीन पद (3,11,19) होंगे। / The first term is (3), and (8) is added each time. Therefore, the first three terms are (3,11,19).
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Which sequence starts with (a=4) and (d=6)?
A. \(4,10,16,22,\ldots\)
पहला पद (4) है और हर बार (6) जोड़ना है। इसलिए सही अनुक्रम \(4,10,16,22,\ldots\) है। / The first term is (4), and (6) is added each time. Hence the correct sequence is \(4,10,16,22,\ldots\).
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What will be the next two terms in \(90,80,70,60,\ldots\)?
B. (50,40)
यहाँ (d=-10) है। इसलिए (60-10=50) और (50-10=40)। / Here (d=-10). Therefore, (60-10=50) and (50-10=40).
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Which term is not among the four given terms of \(21,24,27,30,\ldots\)?
D. (33)
दिए गए चार पद (21,24,27,30) हैं। (33) अगला पद हो सकता है पर दिए गए चार पदों में नहीं है। / The four given terms are (21,24,27,30). (33) can be the next term but is not among the four given terms.
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If a sequence is \(12,12,12,12,\ldots\), what type of arithmetic progression is it?
C. समान पदों वालीConstant terms
सभी पद समान हैं इसलिए (d=0) है। इसे समान पदों वाली समांतर श्रेढ़ी कहते हैं। / All terms are equal, so (d=0). It is called an arithmetic progression with constant terms.
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Rows of stairs use \(8,11,14,17,\ldots\) bricks. What is the common difference of this arrangement?
B. (3)
हर अगली पंक्ति में (3) ईंटें अधिक हैं। इसलिए सार्व अंतर (3) है। / Each next row has (3) more bricks. Therefore, the common difference is (3).
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In the sequence \(35,30,25,20,\ldots\), how much less is each term than the previous term?
C. (5)
हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा। / Each next term is (5) less than the previous term. Its common difference will be (-5).
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What is the common difference of \(\frac{1}{5},\frac{3}{5},1,\frac{7}{5},\ldots\)?
B. \(\frac{2}{5}\)
\(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\) है। पहले दो पदों से (d) आसानी से मिल जाता है। / \(\frac{3}{5}-\frac{1}{5}=\frac{2}{5}\). (d) can be found easily from the first two terms.
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If \(a_1=25\) and \(a_2=18\), what will (d) be?
C. (-7)
\(d=a_2-a_1=18-25=-7\) है। दूसरे पद से पहला पद घटाना न भूलें। / \(d=a_2-a_1=18-25=-7\). Do not forget to subtract the first term from the second term.
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The sequence \(11,22,33,44,\ldots\) has common difference (11). What type of sequence is it?
A. समांतर श्रेढ़ीArithmetic progression
लगातार पदों का अंतर समान (11) है। इसलिए यह समांतर श्रेढ़ी है। / The difference between consecutive terms is the same (11). Therefore, it is an arithmetic progression.
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