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 581-590 of 590 questions.
If (m! = 24) and (n! = 720) then what is the value of ((n-m)!)?
B. (2)
(m=4) और (n=6) हैं। इसलिए ((n-m)!=2!=2) है। / Here (m=4) and (n=6). Therefore ((n-m)!=2!=2).
Login to save your score, XP, coins and progress.
If (\frac{n!}{(n-4)!}=3024) then what is the value of (n)?
B. (9)
यह (n(n-1)(n-2)(n-3)=3024) है। \(9\times8\times7\times6=3024\) इसलिए (n=9) है। / This is (n(n-1)(n-2)(n-3)=3024). Since \(9\times8\times7\times6=3024\), (n=9).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{17!}{15!}-\frac{16!}{14!}\)?
B. (32)
पहला पद \(17\times16\) और दूसरा \(16\times15\) है। अंतर (16(17-15)=32) है। / The first term is \(17\times16\) and the second is \(16\times15\). The difference is (16(17-15)=32).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{19!}{17!}-\frac{18!}{16!}\)?
B. (36)
मान \(19\times18-18\times17\) है। यह (18(2)=36) होता है। / The value is \(19\times18-18\times17\). This equals (18(2)=36).
Login to save your score, XP, coins and progress.
If the highest power of (3) in (n!) is (4), which option can be (n)?
A. (8)
(8!) में (3) की घात \(\left\lfloor\frac{8}{3}\right\rfloor=2\) होती है इसलिए यह सही नहीं है। सही जाँच में (9!) के लिए घात (4) है। / For (8!), the exponent of (3) is only \(\left\lfloor\frac{8}{3}\right\rfloor=2\), so it is not correct. Checking properly gives exponent (4) for (9!).
Login to save your score, XP, coins and progress.
What is the highest power of (2) in (30!)?
C. (26)
घात \( \left\lfloor\frac{30}{2}\right\rfloor+\left\lfloor\frac{30}{4}\right\rfloor+\left\lfloor\frac{30}{8}\right\rfloor+\left\lfloor\frac{30}{16}\right\rfloor=15+7+3+1=26\) है। सभी घातों के भागफल जोड़ें। / The exponent is \(\left\lfloor\frac{30}{2}\right\rfloor+\left\lfloor\frac{30}{4}\right\rfloor+\left\lfloor\frac{30}{8}\right\rfloor+\left\lfloor\frac{30}{16}\right\rfloor=15+7+3+1=26\). Add quotients for all powers.
Login to save your score, XP, coins and progress.
What is the highest power of (10) in (40!)?
B. (9)
(10) की घात (2) और (5) की जोड़ी से बनती है। (5) की घात (8+1=9) है इसलिए उत्तर (9) है। / The power of (10) comes from pairs of (2) and (5). The exponent of (5) is (8+1=9), so the answer is (9).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{18!}{16!\times 2!} - \frac{17!}{15!\times 2!}\)?
B. (17)
पहला मान \(\frac{18\times17}{2}\) और दूसरा \(\frac{17\times16}{2}\) है। अंतर (17) है। / The first value is \(\frac{18\times17}{2}\) and the second is \(\frac{17\times16}{2}\). The difference is (17).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{21!}{19!\times 2!} - \frac{20!}{18!\times 2!}\)?
C. (20)
मान \(\frac{21\times20}{2}-\frac{20\times19}{2}\) है। यह (20) के बराबर है। / The value is \(\frac{21\times20}{2}-\frac{20\times19}{2}\). It equals (20).
Login to save your score, XP, coins and progress.
For which (n) will (\frac{(n+5)!}{(n+3)!}=210)?
B. (9)
((n+5)(n+4)=210) है। \(14\times15=210\) से (n=10) नहीं बल्कि (n+4=14) होने पर (n=10) मिलता है। / ((n+5)(n+4)=210). Since \(14\times15=210\), (n+4=14) gives (n=10).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.