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 281-290 of 600 questions.
If (n(A-B)=13) and (n\(A\cap B\)=7), what is (n(A))?
B. (20)
(A) दो अलग भागों (A-B) और \(A\cap B\) से बनता है। इसलिए (n(A)=13+7=20)। / (A) is made of two disjoint parts (A-B) and \(A\cap B\). Hence (n(A)=13+7=20).
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\(If (A={x:x\) is a vowel in the English alphabet\(}) and (B={a,b,c,d,e}), what is (A\cap B)\)?
A. ( {a,e} )
अंग्रेजी स्वरों में (a,e,i,o,u) होते हैं। (B) में इनमें से (a) और (e) मौजूद हैं। / English vowels are (a,e,i,o,u). Among these, (a) and (e) are present in (B).
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A. ( {2} )
\(A=\{2,3,5,7,11,13\}\) है और (B) में विषम संख्याएं हैं। (A) में केवल (2) विषम नहीं है। / \(A=\{2,3,5,7,11,13\}\), and (B) contains odd numbers. Only (2) in (A) is not odd.
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If \(A=\{2,3,5,7\}\) and \(B=\{5,7,11,13\}\), how many elements are in \(A\cup B\)?
B. (6)
\(A\cup B={2,3,5,7,11,13}\) है। इसलिए इसमें (6) अवयव हैं। / \(A\cup B={2,3,5,7,11,13}\). Therefore it has (6) elements.
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If \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,4,6\}\), which statement is correct?
A. (A-B={1,3,5})
\(B\subseteq A\) है, इसलिए (A-B) में (A) के वे अवयव हैं जो (B) में नहीं हैं। वे ({1,3,5}) हैं। / Since \(B\subseteq A\), (A-B) contains elements of (A) not in (B). They are ({1,3,5}).
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If \(A\cup B=A\), what is the correct conclusion?
A. \(B\subseteq A\)
यदि \(A\cup B=A\), तो (B) का कोई नया अवयव (A) के बाहर नहीं है। इसलिए \(B\subseteq A\)। / If \(A\cup B=A\), (B) adds no new element outside (A). Therefore \(B\subseteq A\).
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For a universal set (U), \(A\cup A'\) is equal to which set?
C. (U)
कोई भी अवयव या तो (A) में होगा या (A') में। इसलिए दोनों का संघ (U) होता है। / Every element is either in (A) or in (A'). Hence their union is (U).
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For a universal set (U), \(A\cap A'\) is equal to which set?
D. \( \varnothing \)
कोई अवयव एक साथ (A) और (A') दोनों में नहीं हो सकता। इसलिए प्रतिच्छेद \(\varnothing\) है। / No element can be in both (A) and (A') at the same time. Therefore the intersection is \(\varnothing\).
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If \(A=\{1,2,3,4,5\}\), \(B=\{2,3,6\}\), and \(C=\{3,4,7\}\), what is (A\cap\(B\cup C\))?
A. ( {2,3,4} )
\(B\cup C={2,3,4,6,7}\) है। इसका (A) से सामान्य भाग ({2,3,4}) है। / \(B\cup C={2,3,4,6,7}\). Its common part with (A) is ({2,3,4}).
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If \(A=\{1,2,4,8\}\), \(B=\{2,4,6\}\), and \(C=\{4,6,8\}\), what is (\(A\cap B\)\cup C)?
A. ( {2,4,6,8} )
\(A\cap B={2,4}\) है। इसे \(C=\{4,6,8\}\) से मिलाने पर ({2,4,6,8}) मिलता है। / \(A\cap B={2,4}\). Combining it with \(C=\{4,6,8\}\) gives ({2,4,6,8}).
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