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 21-30 of 600 questions.
If (n(U)=30) and (n(A)=18), what is (n(A'))?
A. (12)
(n(A')=n(U)-n(A)=30-18=12)। पूरक में जोड़ नहीं, घटाना होता है। / (n(A')=n(U)-n(A)=30-18=12). For complement, subtract rather than add.
Login to save your score, XP, coins and progress.
If (n(U)=50) and (n(A')=22), find (n(A)).
A. (28)
(n(A)=n(U)-n(A')=50-22=28)। पूरक दिया हो तो भी कुल में से घटाएं। / (n(A)=n(U)-n(A')=50-22=28). Even when complement is given, subtract from the total.
Login to save your score, XP, coins and progress.
If (n(A)=15) and (n(A')=35), what is (n(U))?
A. (50)
(A) और (A') मिलकर (U) बनाते हैं, इसलिए (n(U)=15+35=50)। यह \(A\cup A'=U\) से आता है। / (A) and (A') together form (U), so (n(U)=15+35=50). This comes from \(A\cup A'=U\).
Login to save your score, XP, coins and progress.
If \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), and \(B=\{3,4,5\}\), what is (\(A\cup B\)')?
A. ({6})
\(A\cup B={1,2,3,4,5}\), इसलिए उसका पूरक ({6}) है। पहले संघ निकालें फिर पूरक लें। / \(A\cup B={1,2,3,4,5}\), so its complement is ({6}). First find the union, then take complement.
Login to save your score, XP, coins and progress.
If \(U=\{a,b,c,d,e\}\), \(A=\{a,b,d\}\), and \(B=\{b,c,d\}\), what will (\(A\cap B\)') be?
A. ({a,c,e})
\(A\cap B={b,d}\), इसलिए पूरक ({a,c,e}) है। पहले सामान्य अवयव पहचानें। / \(A\cap B={b,d}\), so the complement is ({a,c,e}). First identify common elements.
Login to save your score, XP, coins and progress.
If \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5\}\), what is \(A'\cap B'\)?
A. ({6})
(A'={5,6}) और (B'={1,2,6}), इसलिए प्रतिच्छेद ({6}) है। पूरक अलग-अलग निकालकर मिलाएं। / (A'={5,6}) and (B'={1,2,6}), so the intersection is ({6}). Find complements separately and then combine.
Login to save your score, XP, coins and progress.
If \(U=\{1,2,3,4,5,6,7\}\), \(A=\{1,3,5\}\), and \(B=\{2,3,6\}\), what is \(A'\cup B'\)?
A. ({1,2,4,5,6,7})
(A'={2,4,6,7}) और (B'={1,4,5,7}), इसलिए संघ ({1,2,4,5,6,7}) है। यह (\(A\cap B\)') के बराबर भी है। / (A'={2,4,6,7}) and (B'={1,4,5,7}), so the union is ({1,2,4,5,6,7}). It is also equal to (\(A\cap B\)').
Login to save your score, XP, coins and progress.
If \(A\subseteq U\), which is the most correct definition of (A')?
A. \((A'={x:x\in U\) and \(x\notin A})\)
पूरक में वही अवयव होते हैं जो (U) में हैं पर (A) में नहीं हैं। परिभाषा में (U) का उल्लेख जरूरी है। / Complement contains elements that are in (U) but not in (A). Mentioning (U) is necessary in the definition.
Login to save your score, XP, coins and progress.
If \(U=\{1,2,3,4,5\}\) and \(A=\{1,2\}\), what is (U-A) equal to?
A. (A')
(U-A) का अर्थ (U) से (A) हटाना है, यही (A') है। पूरक को (U-A) भी लिख सकते हैं। / (U-A) means removing (A) from (U), which is (A'). Complement can also be written as (U-A).
Login to save your score, XP, coins and progress.
If \(A\subseteq B\subseteq U\), what can be said about \(B'\subseteq A'\)?
A. यह हमेशा सत्य हैIt is always true
बड़े समुच्चय का पूरक छोटे समुच्चय के पूरक में समाहित होता है। समावेशन पूरक लेने पर उलट जाता है। / The complement of the larger set is contained in the complement of the smaller set. Inclusion reverses after taking complement.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.