Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 41-50 of 600 questions.
In the sequence \(50,45,40,35,\ldots\), 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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B. \(\frac{1}{2}\)
\(\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}\) है। समान हर वाले भिन्नों में अंश घटाएँ। / \(\frac{5}{4}-\frac{3}{4}=\frac{2}{4}=\frac{1}{2}\). For fractions with the same denominator, subtract the numerators.
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If \(a_1=16\) and \(a_2=10\), what will be the common difference (d)?
C. (-6)
\(d=a_2-a_1=10-16=-6\) है। दूसरे पद से पहला पद ही घटाएँ। / \(d=a_2-a_1=10-16=-6\). Always subtract the first term from the second term.
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The sequence \(2,4,6,8,\ldots\) has common difference (2). What type of sequence is it?
A. समांतर श्रेढ़ीArithmetic progression
लगातार पदों का अंतर समान (2) है। इसलिए यह समांतर श्रेढ़ी है। / The difference between consecutive terms is the same (2). Therefore, it is an arithmetic progression.
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In an arithmetic progression, when (d>0), how do the terms generally change?
B. बढ़ते हैंThey increase
धनात्मक (d) का अर्थ हर बार कुछ जोड़ना है। इसलिए पद बढ़ते हैं। / Positive (d) means something is added each time. Therefore, the terms increase.
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In an arithmetic progression, when (d<0), how do the terms generally change?
C. घटते हैंThey decrease
ऋणात्मक (d) का अर्थ हर बार घटाना है। इसलिए पद घटते हैं। / Negative (d) means subtraction occurs each time. Therefore, the terms decrease.
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In the sequence \(7,10,13,16,\ldots\), which term is (10)?
B. दूसरा पदSecond term
लिखे क्रम में (7) पहला और (10) दूसरा पद है। पद संख्या निकालते समय शुरुआत से गिनें। / In the written order, (7) is the first term and (10) is the second term. Count from the beginning to find the term position.
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What is the common difference of the arithmetic progression \(31,28,25,22,\ldots\)?
B. (-3)
(28-31=-3) है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखा जाता है। / (28-31=-3). In a decreasing progression, the common difference is written as negative.
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If (a=4) and the next term is (9), what is (d)?
B. (5)
सार्व अंतर (9-4=5) है। अगले पद से पहले पद को घटाकर (d) निकालें। / The common difference is (9-4=5). Find (d) by subtracting the first term from the next term.
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Which sequence is an arithmetic progression with (d=0)?
B. \(8,8,8,8,\ldots\)
\(8,8,8,8,\ldots\) में हर अंतर (0) है। इसलिए यह (d=0) वाली समांतर श्रेढ़ी है। / In \(8,8,8,8,\ldots\), every difference is (0). Hence it is an arithmetic progression with (d=0).
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