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 561-570 of 600 questions.
If \(S_{n+2}-S_{n-3}=625\), what is the value of (n)?
A. (125)
यह अंतर ((n-2)+(n-1)+n+(n+1)+(n+2)=5n) है। इसलिए (5n=625) से (n=125)। / This difference is ((n-2)+(n-1)+n+(n+1)+(n+2)=5n). So (5n=625) gives (n=125).
Login to save your score, XP, coins and progress.
What is (30%) of the sum of the first (200) natural numbers?
C. (6030)
\(S_{200}=20100\) और \(30%=\frac{3}{10}\), इसलिए मान (6030) है। प्रतिशत को भिन्न में बदलें। / \(S_{200}=20100\) and \(30%=\frac{3}{10}\), so the value is (6030). Convert the percentage into a fraction.
Login to save your score, XP, coins and progress.
If \(S_n=11175\), what is the value of (n)?
A. (149)
\(\frac{149\cdot150}{2}=11175\), इसलिए (n=149)। विकल्पों को सूत्र में रखकर जांचें। / \(\frac{149\cdot150}{2}=11175\), so (n=149). Check the options in the formula.
Login to save your score, XP, coins and progress.
If \(S_n-S_{90}=5775\), what will be the value of (n)?
D. (140)
\(S_{140}-S_{90}=9870-4095=5775\), इसलिए (n=140)। दिए अंतर को \(S_n-S_k\) से मिलाएं। / \(S_{140}-S_{90}=9870-4095=5775\), so (n=140). Match the given difference with \(S_n-S_k\).
Login to save your score, XP, coins and progress.
What is the sum of natural numbers from (151) to (210)?
B. (10830)
योग \(S_{210}-S_{150}=22155-11325=10830\) है। \(S_b-S_{a-1}\) विधि का उपयोग करें। / The sum is \(S_{210}-S_{150}=22155-11325=10830\). Use the \(S_b-S_{a-1}\) method.
Login to save your score, XP, coins and progress.
If \(S_{2n}=4095\), what is the value of (n)?
C. (45)
\(4095=S_{90}\), इसलिए (2n=90) और (n=45)। पहले सूचकांक पहचानें। / \(4095=S_{90}\), so (2n=90) and (n=45). Identify the index first.
Login to save your score, XP, coins and progress.
If \(S_n-S_{n-4}=454\), what is the value of (n)?
D. (115)
\(S_n-S_{n-4}=4n-6\) होता है। (4n-6=454) से (n=115)। / \(S_n-S_{n-4}=4n-6\). From (4n-6=454), (n=115).
Login to save your score, XP, coins and progress.
What is the difference between the sums of the first (225) and first (175) natural numbers?
A. (10025)
\(S_{225}-S_{175}=25425-15400=10025\)। यह (176) से (225) तक का योग है। / \(S_{225}-S_{175}=25425-15400=10025\). This is the sum from (176) to (225).
Login to save your score, XP, coins and progress.
What is the ratio of the sums of the first (150) and first (100) natural numbers?
B. (453:202)
\(S_{150}:S_{100}=11325:5050=453:202\)। अनुपात को पूरा सरल करें। / \(S_{150}:S_{100}=11325:5050=453:202\). Simplify the ratio fully.
Login to save your score, XP, coins and progress.
If \(S_n=15400\), what will be the value of \(S_n-S_{n-10}\)?
C. (1705)
\(15400=S_{175}\), इसलिए अंतिम दस पदों का योग \(166+167+\cdots+175=1705\) है। अंतिम पदों को सीधे जोड़ें। / \(15400=S_{175}\), so the sum of the last ten terms is \(166+167+\cdots+175=1705\). Add the last terms directly.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.