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 111-120 of 590 questions.
What is the value of \(\frac{8!}{3!,5!}\)?
B. (56)
\(\frac{8!}{3!,5!}=\frac{8\times7\times6}{6}=56\)। हर फैक्टोरियल को सावधानी से काटें। / \(\frac{8!}{3!,5!}=\frac{8\times7\times6}{6}=56\). Cancel each factorial carefully.
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If (x=4!) and (y=3!), what is the value of (xy)?
C. (144)
(x=24) और (y=6), इसलिए (xy=144) है। चर का मान रखने के बाद गुणा करें। / (x=24) and (y=6), so (xy=144). Substitute the values of variables and then multiply.
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What is the value of (4!+5!-3!)?
B. (138)
(4!=24), (5!=120) और (3!=6), इसलिए मान (138) है। पहले क्रमगुणित मान लिखें। / (4!=24), (5!=120), and (3!=6), so the value is (138). Write the factorial values first.
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What is the simplified form of (\frac{(n+5)!}{(n+4)!})?
C. (n+5)
((n+5)!=(n+5)(n+4)!), इसलिए सरल रूप (n+5) है। पास वाला क्रमगुणित काट दें। / ((n+5)!=(n+5)(n+4)!), so the simplified form is (n+5). Cancel the adjacent factorial.
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What is the value of \(3!\times5!\)?
A. (720)
(3!=6) और (5!=120), इसलिए गुणनफल (720) है। गुणा से पहले दोनों क्रमगुणित निकालें। / (3!=6) and (5!=120), so the product is (720). Evaluate both factorials before multiplying.
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Which form is equal to \(7\times6\times5\)?
A. \(\frac{7!}{4!}\)
\(7!=7\times6\times5\times4!\), इसलिए \(\frac{7!}{4!}=7\times6\times5\)। शेष गुणकों के अनुसार हर चुनें। / \(7!=7\times6\times5\times4!\), so \(\frac{7!}{4!}=7\times6\times5\). Choose the denominator according to the remaining factors.
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What is the value of \(\frac{6!+5!}{5!}\)?
C. (7)
\(\frac{6!+5!}{5!}=\frac{720+120}{120}=7\)। अंश का योग सही लिखें। / \(\frac{6!+5!}{5!}=\frac{720+120}{120}=7\). Write the sum in the numerator correctly.
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If (a=6!) and (b=5!), what is the value of \(\frac{a}{b}\)?
B. (6)
\(\frac{a}{b}=\frac{6!}{5!}=6\)। क्रमगुणित अनुपात में समान भाग काटें। / \(\frac{a}{b}=\frac{6!}{5!}=6\). Cancel the common part in a factorial ratio.
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B. (35280)
(8!=40320) और (7!=5040), इसलिए अंतर (35280) है। घटाने से पहले दोनों मान निकालें। / (8!=40320) and (7!=5040), so the difference is (35280). Find both values before subtracting.
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What is the value of ((5-1)!+2!)?
B. (26)
((5-1)!=4!=24) और (2!=2), इसलिए योग (26) है। कोष्ठक पहले हल करें। / ((5-1)!=4!=24) and (2!=2), so the sum is (26). Solve the bracket first.
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