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 61-70 of 590 questions.
What is the value of \(\frac{5!+4!}{4!}\)?
B. (6)
\(\frac{5!+4!}{4!}=\frac{120+24}{24}=6\)। अंश को सही तरह से जोड़कर भाग दें। / \(\frac{5!+4!}{4!}=\frac{120+24}{24}=6\). Add the numerator correctly and then divide.
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If (n!=720), what is the value of (n)?
B. (6)
(6!=720), इसलिए (n=6)। छोटे क्रमगुणित मान याद रखने से उत्तर जल्दी मिलता है। / (6!=720), so (n=6). Remembering small factorial values helps answer quickly.
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What is the value of ((2+3)!)?
C. (120)
पहले (2+3=5), फिर (5!=120)। कोष्ठक की गणना पहले करें। / First (2+3=5), then (5!=120). Evaluate the bracket first.
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A. (4320)
(7!=5040) और (6!=720), इसलिए अंतर (4320) है। घटाते समय दोनों क्रमगुणित अलग लिखें। / (7!=5040) and (6!=720), so the difference is (4320). Write both factorials separately while subtracting.
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What is the value of \(\frac{6!}{5!}+2!\)?
C. (8)
\(\frac{6!}{5!}=6\) और (2!=2), इसलिए कुल (8) है। पहले भाग को सरल करें। / \(\frac{6!}{5!}=6\) and (2!=2), so the total is (8). Simplify the quotient first.
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What is the value of \(3!\times3!\)?
D. (36)
(3!=6), इसलिए \(3!\times3!=6\times6=36\)। समान क्रमगुणित को पहले एक बार निकालें। / (3!=6), so \(3!\times3!=6\times6=36\). Evaluate the repeated factorial once first.
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What is the value of \(\frac{7!}{4!}\)?
A. (210)
\(\frac{7!}{4!}=7\times6\times5=210\)। छोटे क्रमगुणित को काटकर गणना कम करें। / \(\frac{7!}{4!}=7\times6\times5=210\). Cancel the smaller factorial to reduce calculation.
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What is the value of (1!+2!+3!)?
B. (9)
(1!=1), (2!=2) और (3!=6), इसलिए योग (9) है। क्रमगुणित को जोड़ने से पहले उनका मान निकालें। / (1!=1), (2!=2), and (3!=6), so the sum is (9). Evaluate factorials before adding them.
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What is the simplified form of (\frac{(n+3)!}{(n+2)!})?
C. (n+3)
((n+3)!=(n+3)(n+2)!), इसलिए भाग देने पर (n+3) बचेगा। पास-पास वाले क्रमगुणित सीधे कटते हैं। / ((n+3)!=(n+3)(n+2)!), so division leaves (n+3). Nearby factorials cancel directly.
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\(8\times7\times6\times5!\) is equal to which of the following?
B. (8!)
\(8!=8\times7\times6\times5!\) होता है। क्रमगुणित विस्तार को अंतिम फैक्टोरियल से जोड़ें। / \(8!=8\times7\times6\times5!\). Match the factorial expansion with the last factorial part.
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