Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 201-210 of 600 questions.
What is the common difference of the sequence \(8,13,18,23,\ldots\)?
B. (5)
सार्व अंतर (13-8=5) है। हमेशा लगातार दो पदों का अंतर जाँचें। / The common difference is (13-8=5). Always check the difference of two consecutive terms.
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What will be the common difference in \(42,36,30,24,\ldots\)?
B. (-6)
सार्व अंतर (36-42=-6) है। घटती श्रेढ़ी में चिन्ह जरूर जाँचें। / The common difference is (36-42=-6). Always check the sign in a decreasing progression.
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What is the missing value in \(6,10,14,\Box,22,\ldots\)?
C. (18)
यहाँ सार्व अंतर (4) है। इसलिए (14+4=18) रिक्त स्थान में आएगा। / The common difference is (4). Therefore, (14+4=18) fills the blank.
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A. (12,17,22,27)
पहला पद (12) है और हर बार (5) जोड़ना है। इसलिए पद (12,17,22,27) होंगे। / The first term is (12) and (5) is added each time. Hence the terms are (12,17,22,27).
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In the sequence \(-5,-1,3,7,\ldots\), what are (a) and (d) respectively?
B. (a=-5,\ d=4)
पहला पद (-5) है और (-1-(-5)=4) है। क्रमशः पूछे गए मानों का क्रम न बदलें। / The first term is (-5) and (-1-(-5)=4). Do not change the order of asked values.
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What will be the next term in the arithmetic progression \(31,27,23,19,\ldots\)?
B. (15)
यहाँ (d=-4) है। इसलिए अगला पद (19-4=15) होगा। / Here (d=-4). Therefore, the next term is (19-4=15).
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C. (7)
सार्व अंतर (25-18=7) है। लगातार पद दिए हों तो सीधे घटाव करें। / The common difference is (25-18=7). When consecutive terms are given, subtract directly.
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What is the common difference of \(\frac{3}{2},2,\frac{5}{2},3,\ldots\)?
A. \(\frac{1}{2}\)
\(2-\frac{3}{2}=\frac{1}{2}\) है। भिन्नों में भी लगातार पदों का अंतर लें। / \(2-\frac{3}{2}=\frac{1}{2}\). For fractions also, take the difference of consecutive terms.
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If (a=20) and (d=-3), what is the third term of the arithmetic progression?
A. (14)
पहले तीन पद (20,17,14) होंगे। ऋणात्मक (d) में हर बार घटाव होता है। / The first three terms are (20,17,14). With negative (d), subtraction occurs each time.
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Which sequence is formed with (a=9) and (d=-2)?
B. \(9,7,5,3,\ldots\)
पहला पद (9) है और हर बार (2) घटता है। इसलिए अनुक्रम \(9,7,5,3,\ldots\) बनेगा। / The first term is (9) and (2) is subtracted each time. Hence the sequence is \(9,7,5,3,\ldots\).
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