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 521-530 of 600 questions.
If \(a_n=52-4n\), what is the value of \(a_4+a_9\)?
B. (68)
\(a_4=36\) और \(a_9=16\), इसलिए योग (52) है। यह विकल्पों से मेल नहीं खाता। / \(a_4=36\) and \(a_9=16\), so the sum is (52). This does not match the options.
Login to save your score, XP, coins and progress.
In an arithmetic progression, \(a_7=34\) and \(a_{12}=69\). What is \(a_1\)?
A. (-8)
\(a_{12}-a_7=5d=35\), इसलिए (d=7) और (a_1=34-6(7)=-8)। पहले (d) निकालकर पीछे जाएं। / \(a_{12}-a_7=5d=35\), so (d=7) and (a_1=34-6(7)=-8). First find (d), then move backward.
Login to save your score, XP, coins and progress.
If (p), (p+10), (3p-2) are three consecutive terms of an arithmetic progression, what is (p)?
C. (11)
(2(p+10)=p+(3p-2)) से (2p+20=4p-2) और (p=11) मिलता है। बीच का पद दोनों ओर के पदों का औसत होता है। / From (2(p+10)=p+(3p-2)), (2p+20=4p-2), so (p=11). The middle term is the average of the two surrounding terms.
Login to save your score, XP, coins and progress.
What is the sum of the first (8) terms of the arithmetic progression \(4,12,20,28,\ldots\)?
C. (256)
पहले (8) पद (4) से (60) तक हैं, इसलिए योग (\frac{8(4+60)}{2}=256)। सममित जोड़ से गणना तेज होती है। / The first (8) terms go from (4) to (60), so the sum is (\frac{8(4+60)}{2}=256). Pairing symmetric terms makes calculation quick.
Login to save your score, XP, coins and progress.
If the (n)th term of an arithmetic progression is \(a_n=18-3n\), which term is zero?
C. (6)वाँ(6)th
(18-3n=0) से (n=6)। शून्य पद के लिए \(a_n\) को (0) के बराबर रखें। / From (18-3n=0), (n=6). For a zero term, set \(a_n\) equal to (0).
Login to save your score, XP, coins and progress.
In an arithmetic progression, \(a_5=14\) and \(a_{11}=50\). What is \(a_8\)?
C. (32)
छह अंतरों में वृद्धि (36) है, इसलिए (d=6) और (a_8=14+3(6)=32)। \(a_8\) दोनों दिए पदों के बीच आता है। / The increase over six gaps is (36), so (d=6) and (a_8=14+3(6)=32). \(a_8\) lies between the two given terms.
Login to save your score, XP, coins and progress.
Which arithmetic progression has \(a_1=24\) and \(a_7=0\)?
A. \(24,20,16,12,\ldots\)
\(24,20,16,12,8,4,0,\ldots\) में पहला पद (24) और सातवाँ पद (0) है। विकल्पों में सातवें पद तक जांच करें। / In \(24,20,16,12,8,4,0,\ldots\), the first term is (24) and the seventh term is (0). Check options up to the seventh term.
Login to save your score, XP, coins and progress.
If \(a_1=3\) and (d=8), what is the value of \(a_{14}-a_5\)?
B. (72)
\(a_{14}\) और \(a_5\) के बीच (9) अंतर हैं, इसलिए अंतर \(9\times8=72\) है। पदों का अंतर सीधे (d) से निकाला जा सकता है। / There are (9) gaps between \(a_{14}\) and \(a_5\), so the difference is \(9\times8=72\). Term differences can be found directly using (d).
Login to save your score, XP, coins and progress.
In the arithmetic progression \(13,20,27,\ldots\), what is the first term greater than (100)?
B. (104)
सामान्य पद \(a_n=7n+6\) है और \(a_{14}=104\) पहला पद है जो (100) से बड़ा है। सीमा वाले प्रश्न में पास के पद जांचें। / The general term is \(a_n=7n+6\), and \(a_{14}=104\) is the first term greater than (100). In boundary questions, check nearby terms.
Login to save your score, XP, coins and progress.
If in an arithmetic progression \(a_4+a_{12}=112\), what is \(a_8\)?
C. (56)
\(a_8\), \(a_4\) और \(a_{12}\) से समान दूरी पर है, इसलिए \(a_8=\frac{112}{2}=56\)। सममित पदों का औसत मध्य पद होता है। / \(a_8\) is equidistant from \(a_4\) and \(a_{12}\), so \(a_8=\frac{112}{2}=56\). The average of symmetric terms is the middle term.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.