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 221-230 of 600 questions.
A. ({7,8,9,10})
न्यूनतम (B) वही होगा जो \(A^c\) है। यहां \(A^c={7,8,9,10}\) है। / The smallest (B) will be exactly \(A^c\). Here \(A^c={7,8,9,10}\).
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If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,4,6\}\), which (B) makes \(B^c=A\) true?
A. ({1,3,5,7})
यदि \(B^c=A\), तो \(B=A^c\) होगा। (U) से (2,4,6) हटाने पर \(B=\{1,3,5,7\}\) मिलता है। / If \(B^c=A\), then \(B=A^c\). Removing (2,4,6) from (U) gives \(B=\{1,3,5,7\}\).
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If \(U=\{a,b,c,d,e,g\}\), \(A=\{a,d,g\}\), and \(B=\{b,c,e\}\), which statement is correct?
A. \(B=A^c\)
(A) और (B) में कोई साझा तत्व नहीं है और दोनों मिलकर (U) बनाते हैं। इसलिए (B), (A) का पूरक है। / (A) and (B) have no common element and together form (U). Therefore (B) is the complement of (A).
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If \(P\cap Q=\varnothing\) and \(P\cup Q=U\), then \(P^c\) is equal to what?
A. (Q)
यदि दो समुच्चय असंबद्ध हों और मिलकर (U) बनाएं, तो वे पूरक होते हैं। इसलिए \(P^c=Q\) होगा। / If two sets are disjoint and together form (U), they are complements. Hence \(P^c=Q\).
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If \(A\cup A^c=U\), (n(A)=27), and (n\(A^c\)=33), what is (n(U))?
A. (60)
(A) और \(A^c\) असंबद्ध होकर (U) बनाते हैं। इसलिए (n(U)=27+33=60) होगा। / (A) and \(A^c\) are disjoint and form (U). Therefore (n(U)=27+33=60).
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If \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,2,3,4,5,6\}\), what is (\(A^c\)^c\cap{3,6,9})?
A. ({3,6})
(\(A^c\)^c=A) होता है। इसलिए \(A\cap{3,6,9}={3,6}\) मिलेगा। / (\(A^c\)^c=A). Therefore \(A\cap{3,6,9}={3,6}\).
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If \(U={1,2,3,\ldots,12}\) and \(A=\{3,6,9,12\}\), how many elements are in \(A^c\cup{6,12}\)?
A. (10)
\(A^c\) में (8) तत्व हैं और (6,12) इसमें नहीं हैं। इसलिए दो नए तत्व जोड़ने पर कुल (10) तत्व होंगे। / \(A^c\) has (8) elements, and (6,12) are not in it. Adding these two new elements gives (10) elements.
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If \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{1,5,10\}\), what is \(A^c-{2,3,4}\)?
A. ({6,7,8,9})
\(A^c={2,3,4,6,7,8,9}\) है। इसमें से (2,3,4) हटाने पर ({6,7,8,9}) बचता है। / \(A^c={2,3,4,6,7,8,9}\). Removing (2,3,4) leaves ({6,7,8,9}).
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\(If (U={x:x\) is a digit\(}) and (A={x:x\) is a prime digit\(}), what is (n(A^c))\)?
A. (6)
अंकों में अभाज्य अंक (2,3,5,7) हैं। कुल (10) अंक हैं, इसलिए पूरक में (10-4=6) अंक होंगे। / The prime digits are (2,3,5,7). There are (10) digits in all, so the complement has (10-4=6) digits.
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\(If (U={1,2,3,\ldots,18}) and (A={x:x\) is divisible by both 2 and \(5}), what is (A^c)\)?
A. ({1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18})
दोनों से विभाज्य होने का अर्थ (10) से विभाज्य होना है। (1) से (18) तक केवल (10) ऐसा है, इसलिए बाकी सभी \(A^c\) में हैं। / Divisible by both means divisible by (10). From (1) to (18), only (10) satisfies this, so all others are in \(A^c\).
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