mixed-operation se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
10 questions tagged with mixed-operation.
What is the value of \(\frac{5!}{2!}+1!\)?
C. (61)
\(\frac{5!}{2!}=60\) और (1!=1), इसलिए मान (61) है। (1!) और (0!) दोनों (1) होते हैं। / \(\frac{5!}{2!}=60\) and (1!=1), so the value is (61). Both (1!) and (0!) equal (1).
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What is the value of \(\frac{6!}{4!}-2!\)?
B. (28)
\(\frac{6!}{4!}=30\) और (2!=2), इसलिए मान (28) है। भाग और घटाव का क्रम ध्यान रखें। / \(\frac{6!}{4!}=30\) and (2!=2), so the value is (28). Keep the order of division and subtraction in mind.
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A. ({1,2})
\(A^{c}={5,6,7,8}\) और \(A^{c}\cup B={3,4,5,6,7,8}\), इसलिए पूरक ({1,2}) है। चरण न छोड़ें। / \(A^{c}={5,6,7,8}\) and \(A^{c}\cup B={3,4,5,6,7,8}\), so the complement is ({1,2}). Do not skip steps.
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If \(A=\{1,2,4,6,8\}\), \(B=\{2,3,6,9\}\), and \(C=\{6,8,10\}\), what is (\(A\cup B\)\cap C)?
A. ( {6,8} )
\(A\cup B={1,2,3,4,6,8,9}\) है। इसका (C) से प्रतिच्छेद ({6,8}) है। / \(A\cup B={1,2,3,4,6,8,9}\). Its intersection with (C) is ({6,8}).
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If \(A=\{2,4,6,8,10\}\), \(B=\{4,8,12\}\), and \(C=\{2,8,14\}\), what is (\(A\cap B\)\cup C)?
A. ( {2,4,8,14} )
\(A\cap B={4,8}\) है। (C) से संघ लेने पर ({2,4,8,14}) मिलता है। / \(A\cap B={4,8}\). Taking union with (C) gives ({2,4,8,14}).
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If \(A=\{r,s,t,u\}\), \(B=\{s,u,v\}\), and \(C=\{u,v,w\}\), what is (A\cap\(B\cup C\))?
A. ( {s,u} )
पहले \(B\cup C={s,u,v,w}\) है। इसका (A) से सामान्य भाग ({s,u}) है। / First \(B\cup C={s,u,v,w}\). Its common part with (A) is ({s,u}).
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A. ( {1,7} )
पहले \(A\setminus B={1,3,5,7}\) मिलता है। इसका (C) से प्रतिच्छेद ({1,7}) है। / First \(A\setminus B={1,3,5,7}\). Its intersection with (C) is ({1,7}).
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If \(A=\{1,2,3,4,5,6\}\), \(B=\{2,3,5,7\}\), and \(C=\{3,5,8\}\), what is (A\cap \(B\setminus C\))?
A. ( {2} )
\(B\setminus C={2,7}\), फिर (A) से प्रतिच्छेद लेने पर (2) बचता है। पहले अंतर और फिर प्रतिच्छेद करें। / \(B\setminus C={2,7}\), then intersecting with (A) leaves (2). Do the difference first, then the intersection.
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If \(A=\{2,3,5,7\}\), \(B=\{1,3,5,9\}\), and \(C=\{3,4,5\}\), what is (\(A\cap B\)\cup C)?
B. ( {3,4,5} )
\(A\cap B={3,5}\), और (C) से संघ लेने पर ( {3,4,5} ) मिलता है। पहले कोष्ठक का परिणाम निकालें। / \(A\cap B={3,5}\), and union with (C) gives ( {3,4,5} ). Find the bracket result first.
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If \(A=\{1,2\}\), \(B=\{2,3\}\), and \(C=\{3,4\}\), what is (\(A\cup B\)\cap C)?
A. ( {3} )
\(A\cup B={1,2,3}\) और इसका (C) से सामान्य भाग (3) है। मिश्रित क्रियाओं में क्रम बहुत महत्वपूर्ण है। / \(A\cup B={1,2,3}\) and its common part with (C) is (3). Order is very important in mixed operations.
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