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 331-340 of 571 questions.
If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is \(A'\cup B'\)?
A. ({1,2,5,6,7,8})
(A'={5,6,7,8}) और (B'={1,2,7,8}) है। उनका संघ ({1,2,5,6,7,8}) है। / (A'={5,6,7,8}) and (B'={1,2,7,8}). Their union is ({1,2,5,6,7,8}).
Login to save your score, XP, coins and progress.
If \(A=\{x,y,z,w\}\), how many elements of (\mathcal{P}(A)) are disjoint from ({x,z})?
B. (4)
असंयुक्त उपसमुच्चय में (x) और (z) नहीं आ सकते। केवल (y,w) चुने जा सकते हैं, इसलिए \(2^2=4\) हैं। / A disjoint subset cannot contain (x) or (z). Only (y,w) may be chosen, so there are \(2^2=4\).
Login to save your score, XP, coins and progress.
A. ({2,4,5,6,8,10})
(A) में (1,3,7,9) हैं। इसलिए पूरक (2) या (5) से विभाज्य तत्व ({2,4,5,6,8,10}) हैं। / (A) contains (1,3,7,9). So the complement is the elements divisible by (2) or (5): ({2,4,5,6,8,10}).
Login to save your score, XP, coins and progress.
If \(A=\{2,4,6,8,10\}\), how many elements of (\mathcal{P}(A)) contain only even numbers?
C. (32)
(A) के सभी तत्व सम हैं, इसलिए (\mathcal{P}(A)) के हर उपसमुच्चय में केवल सम संख्याएँ होंगी। कुल संख्या \(2^5=32\) है। / All elements of (A) are even, so every subset in (\mathcal{P}(A)) contains only even numbers. The total number is \(2^5=32\).
Login to save your score, XP, coins and progress.
B. (3)
(1) निश्चित है और (2) नहीं लेना है, इसलिए (3,4,5) में से (2) तत्व चुनने होंगे। संख्या \(\binom{3}{2}=3\) है। / (1) is fixed and (2) is excluded, so choose (2) elements from (3,4,5). The count is \(\binom{3}{2}=3\).
Login to save your score, XP, coins and progress.
If (|A|=6), how many elements of (\mathcal{P}(A)) have size (2) or (4)?
B. (30)
ऐसे उपसमुच्चयों की संख्या \(\binom{6}{2}+\binom{6}{4}=15+15=30\) है। आकार आधारित प्रश्नों में संयोजन लगाएँ। / The number is \(\binom{6}{2}+\binom{6}{4}=15+15=30\). Use combinations for size-based subset questions.
Login to save your score, XP, coins and progress.
C. (20)
\(A\cap B\) में (6) के गुणज (6,12,18,24) हैं, इसलिए इसमें (4) तत्व हैं। पूरक में (24-4=20) तत्व होंगे। / \(A\cap B\) contains the multiples of (6): (6,12,18,24), so it has (4) elements. The complement has (24-4=20) elements.
Login to save your score, XP, coins and progress.
\(If (U={1,2,3,4,5,6,7,8,9,10,11,12}) and (A={x:x\in U, x\) is divisible by 4}), what is (A')?
A. ({1,2,3,5,6,7,9,10,11})
(4) से विभाज्य तत्व (4,8,12) हैं। पूरक में (U) के बाकी तत्व आएँगे। / The elements divisible by (4) are (4,8,12). The complement contains the remaining elements of (U).
Login to save your score, XP, coins and progress.
If \(A={\emptyset,{a},b}\), which of the following is an element of (\mathcal{P}(A))?
A. \({\emptyset,{a}}\)
\({\emptyset,{a}}\), (A) का उपसमुच्चय है। घात समुच्चय में हमेशा मूल समुच्चय के उपसमुच्चय आते हैं। / \({\emptyset,{a}}\) is a subset of (A). A power set always contains subsets of the original set.
Login to save your score, XP, coins and progress.
A. \({x:x\in \mathbb{Z}, x<-2\) या (x>3})\({x:x\in \mathbb{Z}, x<-2\) or (x>3})
पूरक में वे पूर्णांक होंगे जो दिए गए अंतराल के बाहर हैं। सीमा मान (-2) और (3) (A) में हैं इसलिए पूरक में नहीं होंगे। / The complement contains integers outside the given interval. The endpoints (-2) and (3) are in (A), so they are not in the complement.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.