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 491-500 of 590 questions.
What is the value of \( \frac{19!}{16!}-\frac{18!}{15!} \)?
B. (918)
पहला पद (5814) और दूसरा पद (4896) है। इसलिए अंतर (918) है। / The first term is (5814) and the second term is (4896). Therefore the difference is (918).
Login to save your score, XP, coins and progress.
What is the simplified value of \( \frac{16!}{12!\cdot4!} \)?
B. (1820)
(16!) को \(16\cdot15\cdot14\cdot13\cdot12!\) लिखें। (4!) से भाग देने पर मान (1820) मिलता है। / Write (16!) as \(16\cdot15\cdot14\cdot13\cdot12!\). Dividing by (4!) gives (1820).
Login to save your score, XP, coins and progress.
If ( \frac{(n+5)!}{(n+1)!}=11880 ), what is the value of (n)?
B. (7)
यह ((n+5)(n+4)(n+3)(n+2)=11880) देता है। \(12\cdot11\cdot10\cdot9=11880\), इसलिए (n=7)। / It gives ((n+5)(n+4)(n+3)(n+2)=11880). Since \(12\cdot11\cdot10\cdot9=11880\), (n=7).
Login to save your score, XP, coins and progress.
If ( \frac{(n+4)!+(n+3)!}{(n+2)!}=143 ), what will be the value of (n)?
B. (8)
सरल रूप ((n+3)(n+5)) है। \(11\cdot13=143\), इसलिए (n=8)। / The simplified form is ((n+3)(n+5)). Since \(11\cdot13=143\), (n=8).
Login to save your score, XP, coins and progress.
What is the simplified form of ( \frac{(n+5)!-(n+4)!}{(n+3)!} )?
A. ( (n+4)2 )
((n+5)!-(n+4)!=(n+4)!((n+5)-1)) है। इसलिए भाग देने पर ((n+4)2) मिलता है। / ((n+5)!-(n+4)!=(n+4)!((n+5)-1)). Therefore division gives ((n+4)2).
Login to save your score, XP, coins and progress.
If ( \frac{(n+5)!-(n+4)!}{(n+3)!}=169 ), what is the value of (n)?
B. (9)
अभिव्यक्ति ((n+4)2) बनती है। (n+4=13), इसलिए (n=9)। / The expression becomes ((n+4)2). Since (n+4=13), (n=9).
Login to save your score, XP, coins and progress.
What is the simplified form of ( \frac{(n!)2}{(n-3)!(n+3)!} )?
B. ( \frac{n(n-1)(n-2)}{(n+1)(n+2)(n+3)} )
( \frac{n!}{(n-3)!}=n(n-1)(n-2) ) और ( \frac{n!}{(n+3)!}=\frac{1}{(n+1)(n+2)(n+3)} )। दोनों भागों को गुणा करें। / ( \frac{n!}{(n-3)!}=n(n-1)(n-2) ) and ( \frac{n!}{(n+3)!}=\frac{1}{(n+1)(n+2)(n+3)} ). Multiply both parts.
Login to save your score, XP, coins and progress.
If ( \frac{(n!)2}{(n-3)!(n+3)!}=\frac{5}{21} ), what is the value of (n)?
B. (6)
सरल रूप में (n=6) रखने पर \( \frac{6\cdot5\cdot4}{7\cdot8\cdot9}=\frac{5}{21} \) मिलता है। विकल्प जांचते समय कटौती करें। / Putting (n=6) in the simplified form gives \( \frac{6\cdot5\cdot4}{7\cdot8\cdot9}=\frac{5}{21} \). Cancel while checking options.
Login to save your score, XP, coins and progress.
What is the highest power of (2) that divides (50!)?
C. (47)
घात \( \left\lfloor\frac{50}{2}\right\rfloor+\left\lfloor\frac{50}{4}\right\rfloor+\left\lfloor\frac{50}{8}\right\rfloor+\left\lfloor\frac{50}{16}\right\rfloor+\left\lfloor\frac{50}{32}\right\rfloor=47 \) है। सभी भागफल जोड़ना जरूरी है। / The exponent is \( \left\lfloor\frac{50}{2}\right\rfloor+\left\lfloor\frac{50}{4}\right\rfloor+\left\lfloor\frac{50}{8}\right\rfloor+\left\lfloor\frac{50}{16}\right\rfloor+\left\lfloor\frac{50}{32}\right\rfloor=47 \). Adding all quotients is necessary.
Login to save your score, XP, coins and progress.
How many zeros will be at the end of (60!)?
B. (14)
शून्यों की संख्या \( \left\lfloor\frac{60}{5}\right\rfloor+\left\lfloor\frac{60}{25}\right\rfloor=14 \) है। (25) के अतिरिक्त योगदान को जरूर जोड़ें। / The number of zeros is \( \left\lfloor\frac{60}{5}\right\rfloor+\left\lfloor\frac{60}{25}\right\rfloor=14 \). Always add the extra contribution of (25).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.