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 141-150 of 590 questions.
What is the value of \(\frac{6!}{3!}\div5\)?
B. (24)
\(\frac{6!}{3!}=6\times5\times4=120\), और \(120\div5=24\)। भागों को क्रम से सरल करें। / \(\frac{6!}{3!}=6\times5\times4=120\), and \(120\div5=24\). Simplify the operations in order.
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What is the simplified form of (\frac{(n+3)!}{(n+1)!})?
B. ((n+3)(n+2))
((n+3)!=(n+3)(n+2)(n+1)!), इसलिए शेष ((n+3)(n+2)) है। समान क्रमगुणित भाग काटें। / ((n+3)!=(n+3)(n+2)(n+1)!), so the remaining part is ((n+3)(n+2)). Cancel the common factorial part.
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A. (696)
(6!=720) और (4!=24), इसलिए अंतर (696) है। सीधे घटाने से पहले दोनों क्रमगुणित निकालें। / (6!=720) and (4!=24), so the difference is (696). Find both factorials before subtracting directly.
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Which expansion correctly starts (9!)?
A. \(9\times8\times7\times\cdots\times1\)
(9!) में (9) से (1) तक गुणा होता है। क्रमगुणित में जोड़ या घटाव नहीं होता। / In (9!), numbers from (9) down to (1) are multiplied. Factorial does not use addition or subtraction.
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What is the value of \(\frac{4!+1!}{5}\)?
C. (5)
(4!+1!=24+1=25), और \(\frac{25}{5}=5\)। अंश को पहले सरल करें। / (4!+1!=24+1=25), and \(\frac{25}{5}=5\). Simplify the numerator first.
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If (m=2!) and (n=4!), what is the value of (m+n)?
C. (26)
(m=2) और (n=24), इसलिए (m+n=26)। चर को क्रमगुणित मान से बदलें। / (m=2) and (n=24), so (m+n=26). Replace the variables with factorial values.
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How can (15!) be written using (14!)?
B. \(15\times14!\)
\(15!=15\times14!\) होता है। यह ((n)!=n(n-1)!) का सीधा प्रयोग है। / \(15!=15\times14!\). This is a direct use of ((n)!=n(n-1)!).
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What is the value of \(\frac{10!}{8!,2!}\)?
C. (45)
\(\frac{10!}{8!,2!}=\frac{10\times9}{2}=45\)। पहले (8!) काटें और फिर (2!) से भाग दें। / \(\frac{10!}{8!,2!}=\frac{10\times9}{2}=45\). First cancel (8!) and then divide by (2!).
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What is the value of \(3!+4!\times0!\)?
A. (30)
(0!=1), इसलिए \(4!\times0!=24\) और (3!+24=30)। गुणा को जोड़ से पहले करें। / (0!=1), so \(4!\times0!=24\) and (3!+24=30). Do multiplication before addition.
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What is \(\frac{8!}{8}\) equal to?
B. (7!)
\(8!=8\times7!\), इसलिए \(\frac{8!}{8}=7!\) है। सामान्य गुणक काटकर उत्तर मिल जाता है। / \(8!=8\times7!\), so \(\frac{8!}{8}=7!\). Cancel the common factor to get the answer.
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