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 471-480 of 590 questions.
Which is the correct expansion of ( \frac{(n+1)!}{(n-3)!} )?
A. ((n+1)n(n-1)(n-2))
((n+1)!) को ((n+1)n(n-1)(n-2)(n-3)!) तक फैलाते हैं। इसलिए चार गुणक बचते हैं। / We expand ((n+1)!) up to ((n+1)n(n-1)(n-2)(n-3)!). Therefore four factors remain.
Login to save your score, XP, coins and progress.
If ( \frac{(n+1)!}{(n-3)!}=5040 ), what is the value of (n)?
C. (9)
यह ((n+1)n(n-1)(n-2)=5040) है। \(10\cdot9\cdot8\cdot7=5040\), इसलिए (n=9)। / It is ((n+1)n(n-1)(n-2)=5040). Since \(10\cdot9\cdot8\cdot7=5040\), (n=9).
Login to save your score, XP, coins and progress.
What is the simplified form of ( \frac{\frac{(n+2)!}{(n-2)!}}{\frac{(n+1)!}{(n-3)!}} )?
A. \(\frac{n+2}{n-2}\)
समान गुणक ((n+1)n(n-1)) कट जाते हैं। इसलिए \( \frac{n+2}{n-2} \) बचता है। / The common factors ((n+1)n(n-1)) cancel out. Therefore \( \frac{n+2}{n-2} \) remains.
Login to save your score, XP, coins and progress.
If ( \frac{\frac{(n+2)!}{(n-2)!}}{\frac{(n+1)!}{(n-3)!}}=2 ), what is the value of (n)?
C. (6)
सरल रूप \( \frac{n+2}{n-2} \) है। \( \frac{n+2}{n-2}=2 \) से (n=6) मिलता है। / The simplified form is \( \frac{n+2}{n-2} \). From \( \frac{n+2}{n-2}=2 \), we get (n=6).
Login to save your score, XP, coins and progress.
How many zeros will be at the end of (30!)?
B. (7)
शून्यों की संख्या \( \left\lfloor\frac{30}{5}\right\rfloor+\left\lfloor\frac{30}{25}\right\rfloor=7 \) है। (25) का अतिरिक्त योगदान जोड़ें। / The number of zeros is \( \left\lfloor\frac{30}{5}\right\rfloor+\left\lfloor\frac{30}{25}\right\rfloor=7 \). Add the extra contribution of (25).
Login to save your score, XP, coins and progress.
What is the simplified value of \( \frac{22!}{20!}\div\frac{11!}{9!} \)?
B. \(\frac{21}{5}\)
मान \( \frac{22\cdot21}{11\cdot10}=\frac{21}{5} \) है। भाग में दोनों अनुपातों को फैलाकर काटें। / The value is \( \frac{22\cdot21}{11\cdot10}=\frac{21}{5} \). Expand and cancel both ratios in division.
Login to save your score, XP, coins and progress.
What is the simplified value of \( \frac{7!\cdot9!}{8!\cdot6!} \)?
B. (63)
\( \frac{7!}{6!}=7 \) और \( \frac{9!}{8!}=9 \) है। इसलिए मान (63) है। / \( \frac{7!}{6!}=7 \) and \( \frac{9!}{8!}=9 \). Hence the value is (63).
Login to save your score, XP, coins and progress.
What is the simplified form of ( \frac{(n+4)!-(n+3)!}{(n+2)!} )?
A. ((n+3)2)
((n+4)!-(n+3)!=(n+3)!((n+4)-1)) है। इसलिए ((n+3)2) मिलता है। / ((n+4)!-(n+3)!=(n+3)!((n+4)-1)). Therefore ((n+3)2) is obtained.
Login to save your score, XP, coins and progress.
If ( \frac{(n+4)!-(n+3)!}{(n+2)!}=144 ), what is the value of (n)?
B. (9)
सरल रूप ((n+3)2) है। इसलिए (n+3=12) और (n=9)। / The simplified form is ((n+3)2). Thus (n+3=12) and (n=9).
Login to save your score, XP, coins and progress.
What is the simplified form of ( \frac{(n+5)!}{(n+2)!}-\frac{(n+4)!}{(n+1)!} )?
B. (3(n+4)(n+3))
सामान्य ((n+4)(n+3)) निकालने पर अंतर ((n+5)-(n+2)=3) है। उत्तर (3(n+4)(n+3)) है। / Taking common ((n+4)(n+3)), the difference is ((n+5)-(n+2)=3). The answer is (3(n+4)(n+3)).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.