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 541-550 of 600 questions.
C. (255)
\(2\times127+1=255\) है। पुनरावर्ती नियम में गुणा और जोड़ का क्रम न बदलें। / \(2\times127+1=255\). Exam tip: do not change the order of multiplication and addition in recurrence rules.
Login to save your score, XP, coins and progress.
What is the average of the first (6) terms of the sequence \(2,4,8,16,32,64,\ldots\)?
C. (21)
पहले (6) पदों का योग (126) है और औसत \(\frac{126}{6}=21\) है। औसत में योग को पदों की संख्या से भाग दें। / The sum of the first (6) terms is (126), and the average is \(\frac{126}{6}=21\). Exam tip: divide the sum by the number of terms.
Login to save your score, XP, coins and progress.
In the sequence \(1,4,9,16,\ldots\), what will be the value of \(a_{11}+a_{12}\)?
C. (265)
\(a_{11}=121\) और \(a_{12}=144\) इसलिए योग (265) है। वर्ग अनुक्रम में पद संख्या का वर्ग लें। / \(a_{11}=121\) and \(a_{12}=144\), so the sum is (265). Exam tip: square the term position in a square sequence.
Login to save your score, XP, coins and progress.
If \(a_n=n!+n\), what will be the value of \(a_5\)?
C. (125)
\(a_5=5!+5=120+5=125\) है। फैक्टोरियल निकालकर अंत में (n) जोड़ें। / \(a_5=5!+5=120+5=125\). Exam tip: calculate the factorial first and then add (n).
Login to save your score, XP, coins and progress.
If \(a_n=\frac{n^2+1}{n}\), what will be the value of \(a_5\)?
C. \(\frac{26}{5}\)
\(a_5=\frac{25+1}{5}=\frac{26}{5}\) है। भिन्न वाले सूत्र में अंश पहले पूरा करें। / \(a_5=\frac{25+1}{5}=\frac{26}{5}\). Exam tip: complete the numerator first in fractional formulas.
Login to save your score, XP, coins and progress.
If \(a_n=n^2+2n\), which is the first term greater than (100)?
B. (10)वाँ(10)th
\(a_9=99\) और \(a_{10}=120\) है इसलिए पहला बड़ा पद (10)वाँ है। सीमा के दोनों तरफ के पद जाँचें। / \(a_9=99\) and \(a_{10}=120\), so the first greater term is the (10)th. Exam tip: check terms on both sides of the boundary.
Login to save your score, XP, coins and progress.
If (a_n=5n+(-1)^n), what will be the value of \(a_{10}-a_9\)?
C. (7)
\(a_{10}=51\) और \(a_9=44\) है इसलिए अंतर (7) है। चिह्न बदलने वाले भाग को अलग से जाँचें। / \(a_{10}=51\) and \(a_9=44\), so the difference is (7). Exam tip: check the sign-changing part separately.
Login to save your score, XP, coins and progress.
If \(a_1=2\) and \(a_{n+1}=2a_n+n^2\), what will \(a_4\) be?
C. (37)
पद (2,5,14,37) मिलते हैं। पुनरावर्ती नियम में \(n^2\) का मान हर चरण बदलता है। / The terms are (2,5,14,37). Exam tip: the value of \(n^2\) changes at every recursive step.
Login to save your score, XP, coins and progress.
In a sequence with equal differences, \(a_4=29\) and \(a_{10}=65\). What is the value of \(a_1\)?
C. (11)
छह अंतरों का योग (65-29=36) है इसलिए एक अंतर (6) है। \(a_1=29-3\times6=11\) होगा। / The sum of six differences is (65-29=36), so one difference is (6). Thus \(a_1=29-3\times6=11\).
Login to save your score, XP, coins and progress.
In the sequence \(1,3,6,10,15,\ldots\), which is the first term greater than (200)?
C. (20)वाँ(20)th
\(T_{19}=190\) और \(T_{20}=210\) है इसलिए पहला बड़ा पद (20)वाँ है। सख्त असमानता में बराबरी शामिल नहीं होती। / \(T_{19}=190\) and \(T_{20}=210\), so the first greater term is the (20)th. Exam tip: strict inequality does not include equality.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.