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 471-480 of 600 questions.
If \(S_{4p}=7875\), what is the value of (p)?
B. (31)
\(S_{125}=7875\) है इसलिए (4p=125) से पूर्णांक (p) नहीं मिलता। ऐसे प्रश्नों में सूचकांक की विभाज्यता भी जांचें। / \(S_{125}=7875\), so (4p=125) gives no integer (p). In such questions, check divisibility of the index too.
Login to save your score, XP, coins and progress.
What will be the value of \(S_{144}-2S_{72}\)?
A. (5040)
\(S_{144}=10440\) और \(2S_{72}=5256\), इसलिए मान (5184) है। गुणा और घटाव का क्रम ध्यान से रखें। / \(S_{144}=10440\) and \(2S_{72}=5256\), so the value is (5184). Keep the order of multiplication and subtraction clear.
Login to save your score, XP, coins and progress.
On a stage, the (r)th row has (6r) lamps. How many lamps will there be in (45) rows?
B. (6210)
कुल दीपक \(6S_{45}=6\times1035=6210\) हैं। समान गुणक हो तो उसे योग के बाहर रखें। / Total lamps are \(6S_{45}=6\times1035=6210\). If there is a common multiplier, keep it outside the sum.
Login to save your score, XP, coins and progress.
If \(S_n=7260\), what will be the value of (n)?
C. (120)
\(S_{120}=\frac{120\times121}{2}=7260\) इसलिए (n=120) है। \(2S_n\) को क्रमागत संख्याओं के गुणनफल से मिलाएं। / \(S_{120}=\frac{120\times121}{2}=7260\), so (n=120). Match \(2S_n\) with the product of consecutive numbers.
Login to save your score, XP, coins and progress.
The value of \(S_n-S_{n-2}+S_{n-6}-S_{n-8}\) is (312). What is (n)?
A. (80)
व्यंजक ((n-1)+n+(n-7)+(n-6)=4n-14) है और (4n-14=312) से पूर्णांक (n) नहीं मिलता। पहले पदों में बदलकर समता जांचें। / The expression is ((n-1)+n+(n-7)+(n-6)=4n-14), and (4n-14=312) gives no integer (n). Convert into terms and check parity first.
Login to save your score, XP, coins and progress.
Which number should be added to \(S_{95}\) to get \(S_{105}\)?
A. (1005)
जरूरी संख्या \(96+97+\cdots+105=1005\) है। बीच के सभी नए पद जोड़ें। / The needed number is \(96+97+\cdots+105=1005\). Add all new terms in between.
Login to save your score, XP, coins and progress.
If \(S_u=2346\) and \(S_v=6670\), what is the value of (u+v)?
B. (182)
\(S_{68}=2346\) और \(S_{115}=6670\), इसलिए (u+v=183) है। दोनों त्रिभुज संख्याओं के सूचकांक पहचानें। / \(S_{68}=2346\) and \(S_{115}=6670\), so (u+v=183). Identify the indices of both triangular numbers.
Login to save your score, XP, coins and progress.
What is (12.5%) of the sum of the first (144) natural numbers?
B. (1305)
\(S_{144}=10440\) है और \(12.5%=\frac{1}{8}\), इसलिए मान (1305) है। प्रतिशत को भिन्न में बदलना आसान रहता है। / \(S_{144}=10440\), and \(12.5%=\frac{1}{8}\), so the value is (1305). Converting percent to a fraction makes it easier.
Login to save your score, XP, coins and progress.
What is the value of \(S_{102}+S_{103}-S_{101}\)?
C. (5554)
\(S_{102}=5253\), \(S_{103}=5356\) और \(S_{101}=5151\), इसलिए मान (5458) है। निकट सूचकांकों में सावधानी से घटाएं। / \(S_{102}=5253\), \(S_{103}=5356\), and \(S_{101}=5151\), so the value is (5458). Subtract carefully with nearby indices.
Login to save your score, XP, coins and progress.
If \(S_n-S_{n-7}=1001\), what will be the value of (n)?
C. (142)
अंतर ((n-6)+(n-5)+\cdots+n=7n-21) है और (7n-21=1001) से (n=146) मिलता है। अंतिम सात पदों का योग बनाएं। / The difference is ((n-6)+(n-5)+\cdots+n=7n-21), and (7n-21=1001) gives (n=146). Form the sum of the last seven terms.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.