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 171-180 of 590 questions.
What is the value of \(\frac{6!}{2!,4!}+\frac{5!}{2!,3!}\)?
B. (25)
\(\frac{6!}{2!,4!}=15\) और \(\frac{5!}{2!,3!}=10\), इसलिए कुल (25) है। छोटे पदों को अलग-अलग गिनें। / \(\frac{6!}{2!,4!}=15\) and \(\frac{5!}{2!,3!}=10\), so the total is (25). Count the smaller terms separately.
Login to save your score, XP, coins and progress.
What is the value of \(\frac{7!}{3!,4!}\times2!\)?
B. (70)
\(\frac{7!}{3!,4!}=35\) और (2!=2), इसलिए गुणनफल (70) है। पहले भिन्न को सरल करें। / \(\frac{7!}{3!,4!}=35\) and (2!=2), so the product is (70). Simplify the fraction first.
Login to save your score, XP, coins and progress.
What is the value of \(\frac{10!-9!}{8!}\)?
B. (81)
अंश (9!(10-1)=9\cdot9!) है। \(\frac{9\cdot9!}{8!}=9\times9=81\) मिलता है। / The numerator is (9!(10-1)=9\cdot9!). Thus \(\frac{9\cdot9!}{8!}=9\times9=81\).
Login to save your score, XP, coins and progress.
What is the simplified form of (\frac{(n+2)!-(n+1)!}{n!})?
A. ((n+1)2)
अंश ((n+1)![(n+2)-1]=(n+1)2n!) है। (n!) कटने पर ((n+1)2) मिलता है। / The numerator is ((n+1)![(n+2)-1]=(n+1)2n!). After cancelling (n!), the result is ((n+1)2).
Login to save your score, XP, coins and progress.
If (\frac{(n+3)!}{(n+1)!}=56), what is the value of (n)?
B. (5)
(\frac{(n+3)!}{(n+1)!}=(n+3)(n+2))। \(8\times7=56\), इसलिए (n=5)। / (\frac{(n+3)!}{(n+1)!}=(n+3)(n+2)). Since \(8\times7=56\), (n=5).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{5!,3!}{4!}\)?
B. (30)
\(\frac{5!}{4!}=5\) और (3!=6), इसलिए मान (30) है। गुणन और भाग को क्रम से सरल करें। / \(\frac{5!}{4!}=5\) and (3!=6), so the value is (30). Simplify multiplication and division step by step.
Login to save your score, XP, coins and progress.
What is the value of \(\frac{8!}{7!}+\frac{7!}{6!}+\frac{6!}{5!}\)?
C. (21)
तीनों पद क्रमशः (8), (7) और (6) हैं। योग (8+7+6=21) है। / The three terms are (8), (7), and (6) respectively. The sum is (8+7+6=21).
Login to save your score, XP, coins and progress.
What is the value of \(\frac{9!}{5!,4!}\div\frac{6!}{4!,2!}\)?
B. \( \frac{42}{5}\)
पहला पद (126) और दूसरा (15) है। \(\frac{126}{15}=\frac{42}{5}\) मिलता है। / The first term is (126) and the second is (15). Thus \(\frac{126}{15}=\frac{42}{5}\).
Login to save your score, XP, coins and progress.
What is the simplified form of (\frac{(n+4)!}{(n+2)!})?
A. ((n+4)(n+3))
((n+4)!=(n+4)(n+3)(n+2)!)। ((n+2)!) कटने पर ((n+4)(n+3)) बचता है। / ((n+4)!=(n+4)(n+3)(n+2)!). After cancelling ((n+2)!), ((n+4)(n+3)) remains.
Login to save your score, XP, coins and progress.
If (\frac{n!}{(n-3)!}=120), what is the value of (n)?
C. (6)
(\frac{n!}{(n-3)!}=n(n-1)(n-2))। \(6\times5\times4=120\), इसलिए (n=6)। / (\frac{n!}{(n-3)!}=n(n-1)(n-2)). Since \(6\times5\times4=120\), (n=6).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.