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 201-210 of 590 questions.
If (n=4), what is the value of (\frac{(n+2)!}{n!})?
C. (30)
(n=4) रखने पर \(\frac{6!}{4!}=6\times5=30\)। पहले चर का मान रखकर फैक्टोरियल अनुपात सरल करें। / Putting (n=4), \(\frac{6!}{4!}=6\times5=30\). Substitute the variable first and simplify the factorial ratio.
Login to save your score, XP, coins and progress.
What is the value of \(\frac{8!-7!}{6!}\)?
D. (49)
अंश (7!(8-1)=7\cdot7!) है। \(\frac{7\cdot7!}{6!}=7\times7=49\) मिलेगा। / The numerator is (7!(8-1)=7\cdot7!). Thus \(\frac{7\cdot7!}{6!}=7\times7=49\).
Login to save your score, XP, coins and progress.
If (\frac{n!}{(n-2)!}=56), what is the value of (n)?
B. (8)
(\frac{n!}{(n-2)!}=n(n-1))। \(8\times7=56\), इसलिए (n=8) है। / (\frac{n!}{(n-2)!}=n(n-1)). Since \(8\times7=56\), (n=8).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{6!+5!}{4!}\)?
D. (35)
अंश (720+120=840) है और (4!=24)। इसलिए मान \(\frac{840}{24}=35\) है। / The numerator is (720+120=840) and (4!=24). Therefore the value is \(\frac{840}{24}=35\).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{9!}{6!}-\frac{7!}{5!}\)?
A. (462)
\(\frac{9!}{6!}=504\) और \(\frac{7!}{5!}=42\), इसलिए अंतर (462) है। दोनों अनुपात अलग-अलग सरल करें। / \(\frac{9!}{6!}=504\) and \(\frac{7!}{5!}=42\), so the difference is (462). Simplify both ratios separately.
Login to save your score, XP, coins and progress.
What is the simplified form of (\frac{(n+3)!}{(n+1)!}+\frac{(n+2)!}{n!})?
B. (2(n+2)2)
पहला पद ((n+3)(n+2)) और दूसरा ((n+2)(n+1)) है। समान ((n+2)) लेने पर (2(n+2)2) मिलता है। / The first term is ((n+3)(n+2)) and the second is ((n+2)(n+1)). Taking common ((n+2)) gives (2(n+2)2).
Login to save your score, XP, coins and progress.
If (\frac{(n+2)!}{n!}=42), what is the value of (n)?
C. (5)
(\frac{(n+2)!}{n!}=(n+2)(n+1))। \(7\times6=42\), इसलिए (n=5) है। / (\frac{(n+2)!}{n!}=(n+2)(n+1)). Since \(7\times6=42\), (n=5).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{12!}{10!,2!}+\frac{8!}{6!,2!}\)?
D. (94)
पहला पद (66) और दूसरा पद (28) है। दोनों को जोड़ने पर (94) मिलता है। / The first term is (66) and the second term is (28). Adding them gives (94).
Login to save your score, XP, coins and progress.
What is the simplified form of (\frac{(n+1)!-n!}{(n-1)!})?
A. \(n^2\)
((n+1)!-n!=n!{(n+1)-1}=n\cdot n!)। ((n-1)!) से भाग देने पर \(n^2\) मिलता है। / ((n+1)!-n!=n!{(n+1)-1}=n\cdot n!). Dividing by ((n-1)!) gives \(n^2\).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{7!}{4!,3!}\times3!\)?
C. (210)
\(\frac{7!}{4!,3!}=35\) और (3!=6)। इसलिए गुणनफल \(35\times6=210\) है। / \(\frac{7!}{4!,3!}=35\) and (3!=6). Therefore the product is \(35\times6=210\).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.