Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 141-150 of 600 questions.
In the sequence \(18,23,28,33,\ldots\), which term is (23)?
B. दूसरा पदSecond term
लिखे क्रम में (18) पहला और (23) दूसरा पद है। पद संख्या निकालते समय शुरू से गिनें। / In the written order, (18) is the first term and (23) is the second term. Count from the start to find the term number.
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What is the common difference of the arithmetic progression \(54,48,42,36,\ldots\)?
B. (-6)
(48-54=-6) है। घटती श्रेढ़ी में उत्तर के चिन्ह की जाँच जरूर करें। / (48-54=-6). In a decreasing progression, always check the sign of the answer.
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If (a=10) and the next term is (14), what will (d) be?
A. (4)
सार्व अंतर (14-10=4) है। अगला पद घटा पहला पद करने से (d) मिलता है। / The common difference is (14-10=4). (d) is found by subtracting the first term from the next term.
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By subtracting the second and third terms in \(2,9,16,23,\ldots\), what (d) will be obtained?
C. (7)
तीसरा पद घटा दूसरा पद (16-9=7) है। किसी भी दो लगातार पदों से वही (d) मिलना चाहिए। / The third term minus the second term is (16-9=7). Any two consecutive terms should give the same (d).
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What is the common difference of the sequence \(36,42,48,54,\ldots\)?
C. (6)
लगातार पदों का अंतर (42-36=6) है। सार्व अंतर निकालते समय हमेशा अगले पद से पिछले पद को घटाएँ। / The difference of consecutive terms is (42-36=6). Always subtract the previous term from the next term to find the common difference.
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Which sequence is an arithmetic progression with common difference (-7)?
A. \(49,42,35,28,\ldots\)
(42-49=-7) है इसलिए हर बार (7) घट रहा है। घटती श्रेढ़ी में (d) ऋणात्मक लिखा जाता है। / (42-49=-7) so (7) is subtracted each time. In a decreasing progression, (d) is written as negative.
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If (a=11) and (d=6), what are the first four terms of the arithmetic progression?
C. (11,17,23,29)
पहला पद (11) है और हर बार (6) जोड़ना है। इसलिए पहले चार पद (11,17,23,29) हैं। / The first term is (11) and (6) is added each time. Therefore, the first four terms are (11,17,23,29).
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What will be the next term in \(81,75,69,63,\ldots\)?
C. (57)
यहाँ सार्व अंतर (-6) है। इसलिए अगला पद (63-6=57) होगा। / The common difference is (-6). Therefore, the next term will be (63-6=57).
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What is the common difference of \(\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots\)?
B. \(\frac{2}{7}\)
\(\frac{6}{7}-\frac{4}{7}=\frac{2}{7}\) है। समान हर वाले भिन्नों में अंशों का अंतर जल्दी जाँचें। / \(\frac{6}{7}-\frac{4}{7}=\frac{2}{7}\). For fractions with the same denominator, quickly check the difference of numerators.
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C. (9)
सार्व अंतर (41-32=9) है। लगातार पद दिए हों तो कोई सूत्र लंबा लगाने की जरूरत नहीं होती। / The common difference is (41-32=9). When consecutive terms are given, no long formula is needed.
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