Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 271-280 of 600 questions.
In the sequence \(21,26,31,36,\ldots\), what is the value of (a+d)?
B. (26)
यहां (a=21) और (d=5), इसलिए (a+d=26) है। (a+d) दूसरा पद होता है। / Here (a=21) and (d=5), so (a+d=26). (a+d) is the second term.
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If \(48,42,q,30,\ldots\) is an arithmetic progression, what is the value of (q)?
C. (36)
सार्व अंतर (42-48=-6) है इसलिए (q=42-6=36)। घटती श्रेणी में (d) ऋणात्मक रखें। / The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.
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Which statement is correct for \(7,13,19,25,\ldots\)?
A. यह अंकगणितीय श्रेणी है और (d=6) हैIt is an arithmetic progression and (d=6)
हर क्रमागत अंतर (6) है इसलिए यह अंकगणितीय श्रेणी है। सही कथन चुनते समय प्रकार और (d) दोनों जांचें। / Every consecutive difference is (6), so it is an arithmetic progression. While choosing a statement check both type and (d).
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In an arithmetic progression, the first term is (22) and the second term is (16). What is (d)?
B. (-6)
(d=16-22=-6) है। दूसरा पद छोटा हो तो (d) ऋणात्मक होता है। / (d=16-22=-6). If the second term is smaller, (d) is negative.
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If (a=8) and (d=3), which term does (a+2d) represent?
C. तीसरा पदThird term
सामान्य रूप \(a,a+d,a+2d,\ldots\) में (a+2d) तीसरा पद है। पद पहचानने के लिए सामान्य रूप याद रखें। / In the general form \(a,a+d,a+2d,\ldots\), (a+2d) is the third term. Remember the general form to identify terms.
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If \(4,10,16,r,\ldots\) is an arithmetic progression, what will (r) be?
C. (22)
सार्व अंतर (6) है इसलिए (r=16+6=22)। अगला पद पाने के लिए पिछले पद में (d) जोड़ें। / The common difference is (6), so (r=16+6=22). Add (d) to the previous term to get the next term.
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Which of the following sequences has (a=-6) and (d=5)?
A. \(-6,-1,4,9,\ldots\)
\(-6,-1,4,9,\ldots\) में पहला पद (-6) और अंतर (5) है। दोनों शर्तें मिलनी चाहिए। / In \(-6,-1,4,9,\ldots\), the first term is (-6) and the difference is (5). Both conditions must match.
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C. \(\frac{14}{3}\)
सार्व अंतर (1) है इसलिए अगला पद \(\frac{11}{3}+1=\frac{14}{3}\) है। भिन्न में पूर्णांक जोड़ते समय हर समान करें। / The common difference is (1), so the next term is \(\frac{11}{3}+1=\frac{14}{3}\). Use a common denominator when adding an integer to a fraction.
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If \(8,8+s,8+2s,\ldots\) is an arithmetic progression, what is its common difference?
C. (s)
सार्व अंतर ((8+s)-8=s) है। अक्षर वाले अनुक्रम में भी समान जोड़ा गया भाग देखें। / The common difference is ((8+s)-8=s). In algebraic sequences also look at the equally added part.
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B. (1.5)
हर दिन समान वृद्धि (1.5) है इसलिए (d=1.5)। शब्द प्रश्नों में समान वृद्धि को सार्व अंतर मानें। / The equal daily increase is (1.5), so (d=1.5). In word problems treat the equal increase as the common difference.
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