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 261-270 of 600 questions.
What is the (10)th term of the arithmetic progression \(4,13,22,31,\ldots\)?
C. (85)
यहाँ (a=4) और (d=9), इसलिए (a_{10}=4+9(9)=85)। (10)वें पद तक (9) अंतर जुड़ते हैं। / Here (a=4) and (d=9), so (a_{10}=4+9(9)=85). Up to the (10)th term, (9) gaps are added.
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If \(a_2=18\) and (d=6), what is \(a_1\)?
B. (12)
\(a_2=a_1+d\), इसलिए \(a_1=18-6=12\)। दूसरा पद दिया हो तो एक समान अंतर पीछे जाएं। / \(a_2=a_1+d\), so \(a_1=18-6=12\). If the second term is given, move one common difference backward.
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What will be the (12)th term of the arithmetic progression \(60,54,48,42,\ldots\)?
A. (-6)
यहाँ (a=60) और (d=-6), इसलिए (a_{12}=60+11(-6)=-6)। घटती श्रेढ़ी में पद ऋणात्मक भी हो सकते हैं। / Here (a=60) and (d=-6), so (a_{12}=60+11(-6)=-6). In a decreasing progression, terms can become negative.
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Which arithmetic progression has first term (12) and common difference (-4)?
C. \(12,8,4,0,\ldots\)
पहला पद (12) है और हर बार (4) घट रहा है। इसलिए समान अंतर (-4) है। / The first term is (12), and (4) is subtracted each time. Therefore the common difference is (-4).
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If \(a_n=6n-1\), what is the first term?
A. (5)
पहले पद के लिए (n=1), इसलिए \(a_1=6-1=5\)। पहला पद निकालने में (n=1) रखें। / For the first term (n=1), so \(a_1=6-1=5\). Put (n=1) to find the first term.
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In the arithmetic progression \(18,25,32,39,\ldots\), which term is (74)?
C. (9)वाँ(9)th
(18+(n-1)7=74) से (7(n-1)=56) और (n=9)। पद की स्थिति के लिए रैखिक समीकरण हल करें। / From (18+(n-1)7=74), (7(n-1)=56) and (n=9). Solve the linear equation to find the position of a term.
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What is the sum of the first (4) terms of the arithmetic progression \(12,20,28,36,\ldots\)?
C. (96)
पहले (4) पदों का योग (12+20+28+36=96) है। कम पद हों तो सीधे जोड़ना आसान है। / The sum of the first (4) terms is (12+20+28+36=96). If there are few terms, direct addition is easy.
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If (a=34) and (d=-7), what will \(a_6\) be?
A. (-1)
(a_6=34+5(-7)=-1)। ऋणात्मक समान अंतर को सही चिह्न के साथ रखें। / (a_6=34+5(-7)=-1). Keep the negative common difference with the correct sign.
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What is the general term of the arithmetic progression \(9,17,25,33,\ldots\)?
A. \(a_n=8n+1\)
पहला पद (9) और (d=8) है इसलिए (a_n=9+(n-1)8=8n+1)। विकल्प को (n=1) रखकर भी जांच सकते हैं। / The first term is (9) and (d=8), so (a_n=9+(n-1)8=8n+1). You can also check an option by putting (n=1).
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If an arithmetic progression has \(a_4=25\) and \(a_8=49\), what is the common difference?
C. (6)
चौथे से आठवें पद तक (4) अंतर हैं और वृद्धि (24) है, इसलिए (d=6)। अंतरालों की संख्या सही गिनें। / From the fourth to the eighth term there are (4) gaps and the increase is (24), so (d=6). Count the number of gaps correctly.
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