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 31-40 of 590 questions.
In (7!), which factor comes immediately after (7)?
C. (6)
\(7!=7\times6\times5\times4\times3\times2\times1\)। फैक्टोरियल में संख्या घटती जाती है। / \(7!=7\times6\times5\times4\times3\times2\times1\). In factorial notation, the numbers decrease step by step.
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What is the value of \(3!\times0!\)?
C. (6)
(3!=6) और (0!=1), इसलिए गुणनफल (6) है। (0!) को (0) समझना सामान्य गलती है। / (3!=6) and (0!=1), so the product is (6). Treating (0!) as (0) is a common mistake.
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What is the value of \(\frac{6!}{2!,4!}\)?
C. (15)
\(\frac{6!}{2!,4!}=\frac{6\times5}{2}=15\)। बड़े फैक्टोरियल से छोटे फैक्टोरियल को काटें। / \(\frac{6!}{2!,4!}=\frac{6\times5}{2}=15\). Cancel the smaller factorial from the larger factorial.
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What is the value of (2!+2!+2!)?
B. (6)
(2!=2), इसलिए (2+2+2=6)। दोहराए गए फैक्टोरियल को पहले एक बार निकालें। / (2!=2), so (2+2+2=6). Find the repeated factorial once first.
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\(6\times5\times4!\) is equal to which of the following?
B. (6!)
\(6!=6\times5\times4!\), इसलिए दिया गया गुणनफल (6!) है। फैक्टोरियल को बीच से भी पहचाना जा सकता है। / \(6!=6\times5\times4!\), so the given product is (6!). A factorial can be identified from the middle expansion too.
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What is the value of \(\frac{5!}{5}\)?
C. (24)
\(5!=5\times4!\), इसलिए \(\frac{5!}{5}=4!=24\)। फैक्टोरियल में सामान्य गुणक काटें। / \(5!=5\times4!\), so \(\frac{5!}{5}=4!=24\). Cancel common factors in factorial expressions.
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A. (18)
(4!=24) और (3!=6), इसलिए अंतर (18) है। फैक्टोरियल चिन्ह को साधारण घटाव न समझें। / (4!=24) and (3!=6), so the difference is (18). Do not treat the factorial sign as ordinary subtraction.
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If (x=4!), what is the value of (x)?
C. (24)
\(4!=4\times3\times2\times1=24\), इसलिए (x=24)। चर वाले सवाल में पहले फैक्टोरियल का मान निकालें। / \(4!=4\times3\times2\times1=24\), so (x=24). In variable-based questions, first evaluate the factorial.
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What is the value of \(\frac{3!}{2!}\)?
B. (3)
\(\frac{3!}{2!}=\frac{3\times2!}{2!}=3\)। समान (2!) को काट दें। / \(\frac{3!}{2!}=\frac{3\times2!}{2!}=3\). Cancel the common (2!).
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\(5\times4\times3!\) is equal to which of the following?
C. (5!)
\(5!=5\times4\times3!\), इसलिए दिया गया रूप (5!) है। फैक्टोरियल विस्तार को पहचानना जरूरी है। / \(5!=5\times4\times3!\), so the given form is (5!). Recognizing factorial expansion is important.
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