Sets and Relation questions
385 published questions with worked solutions.
- A, B and C are three non-empty sets. If A B and B C, then which of the following is true?
- If A= x:x is a multiple of 4 and B= x:x is a multiple of 6 , then A B is the set of all multiples of
- In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, and x % lost all the four. The minimum value...
- From 50 students taking examinations in Mathematics, Physics and Chemistry, 37 passed Mathematics, 24 Physics and 43 Chemistry....
- If A= (x,y):y^2=x; x,y R and B= (x,y):y=|x|; x,y R , then
- If A= x:x is a multiple of 3 and B= x:x is a multiple of 5 , then A-B is
- If A and B are two sets, then A (A B) equals
- If n(A B)=10, n(B C)=20 and n(A C)=30, then the greatest possible value of n(A B C) is
- Let A be the set of squares of natural numbers, and x,y be any two elements of A. Then,
- If A= , , then the power set of A is
- If A, B and C are three sets such that A B C, then (A B C)-(A B C)=
- If A= 1,3,5,7,9,11,13,15,17 , B= 2,4,6, ,18 and N is the universal set, then A' ((A B) B') is
- If X= 4^n-3n-1:n N and Y= 9(n-1):n N , then X Y is equal to
- In an office, every employee likes at least one of tea, coffee and milk. The numbers of employees who like only tea, only coffee,...
- Let n( U )=700, n(A)=200, n(B)=300 and n(A B)=100. Then, n(A^c B^c)=
- In rule method the null set is represented by
- If A and B are two sets such that n(A)=7, n(B)=6 and A B , then the greatest possible value of n(A B) is
- If A= 1,2,3,4 , then the number of subsets of A that contain the element 2 but not 3 is
- In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy...
- If A= 1,2,3,4,5,6 , then how many subsets of A contain the elements 2, 3 and 5?
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