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 41-50 of 590 questions.
C. (720)
\(6!=6\times5\times4\times3\times2\times1=720\)। (5!=120) याद हो तो \(6!=6\times120\) करें। / \(6!=6\times5\times4\times3\times2\times1=720\). If you remember (5!=120), then use \(6!=6\times120\).
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What is the value of \(\frac{7!}{7}\)?
B. (6!)
\(7!=7\times6!\), इसलिए \(\frac{7!}{7}=6!\)। फैक्टोरियल को गुणनखंड में तोड़कर काटें। / \(7!=7\times6!\), so \(\frac{7!}{7}=6!\). Break the factorial into factors and cancel.
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What is the value of \(\frac{4!}{0!}\)?
D. (24)
(4!=24) और (0!=1), इसलिए भागफल (24) है। (0!) हमेशा (1) रखें। / (4!=24) and (0!=1), so the quotient is (24). Always take (0!) as (1).
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If (n!=120), what is the value of (n)?
B. (5)
(5!=120), इसलिए (n=5)। छोटे फैक्टोरियल मान परीक्षा में जल्दी उत्तर दिलाते हैं। / (5!=120), so (n=5). Small factorial values help answer quickly in exams.
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What is the value of ((3+1)!)?
C. (24)
पहले (3+1=4) करें, फिर (4!=24)। कोष्ठक के अंदर की गणना पहले होती है। / First calculate (3+1=4), then (4!=24). The expression inside the brackets is evaluated first.
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B. (7)
(3!=6) और (0!=1), इसलिए योग (7) है। (0!) वाले सवाल में विशेष ध्यान रखें। / (3!=6) and (0!=1), so the sum is (7). Pay special attention in questions involving (0!).
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How can (8!) be written using (7!)?
B. \(8\times7!\)
\(8!=8\times7!\) होता है। यह फैक्टोरियल की मूल पहचान है। / \(8!=8\times7!\). This is a basic factorial identity.
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What is the value of \(\frac{5!}{4!}+1\)?
B. (6)
\(\frac{5!}{4!}=5\), इसलिए (5+1=6)। पहले भाग को सरल करके फिर जोड़ें। / \(\frac{5!}{4!}=5\), so (5+1=6). Simplify the quotient first and then add.
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What is the value of \(\frac{2!+3!}{2!}\)?
C. (4)
\(\frac{2!+3!}{2!}=\frac{2+6}{2}=4\)। अंश में जोड़ पहले पूरा करें। / \(\frac{2!+3!}{2!}=\frac{2+6}{2}=4\). Complete the addition in the numerator first.
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How many factors are written in (7!)?
C. (7)
\(7!=7\times6\times5\times4\times3\times2\times1\), इसमें (7) गुणक हैं। (n!) में (n) से (1) तक के गुणक आते हैं। / \(7!=7\times6\times5\times4\times3\times2\times1\), which has (7) factors. In (n!), factors run from (n) down to (1).
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