Sets and Relation questions
385 published questions with worked solutions.
- Two finite sets have m and n elements. The number of elements in the power set of the first set is 48 more than the number of...
- Three sets A, B, C are such that A=B C and B=C A, then
- Let A= x:x is a multiple of 3 and B= x:x is a multiple of 5 . Then, A B is given by (AMU 2006)
- If A= x,y , then the power set of A is (UP SEE 2006, Guj CET 2006)
- A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x % of the Americans like both cheese and...
- If A B, then B A is equal to (BCECE 2005)
- Let A= 1,2,3,4 , B= 2,4,6 . Then, the number of sets C such that A B C A B is
- Given n(U)=20, n(A)=12, n(B)=9, n(A B)=4, where U is the universal set and A and B are subsets of U, then n[(A B)^c] equals
- The value of (A B C) (A B^C C^C)^C C^C is (DCE 2007)
- If A= a,b,c , B= b,c,d and C= a,d,c , then (A-B) (B C) is equal to (Jamia Millia Islamia 2008)
- If A and B are two sets such that n(A)=7, n(B)=6 and A B , then the least possible value of n(A , ,B) is
- If A and B are two given sets, then A (A B)^c is equal to
- Let A and B be two non-empty subsets of a set X such that A is not a subset of B. Then,
- If A is a finite set having n elements, then P(A) has
- If A= (x,y):x^2+y^2=4; x,y R and B= (x,y):x^2+y^2=9; x,y R , then
- If S is the set of squares and R is the set of rectangles, then (S R)-(S R) is
- If A= (x,y):y= 4 x , x 0 and B= (x,y):x^2+y^2=8, x,y R , then
- In a class of 35 students, 17 have taken Mathematics and 10 have taken Mathematics but not Economics. If each student has taken...
- If A_1 A_2 A_3 A_ 50 and n(A_i)=i-1, then n ( _ i=11 ^ 50 A_i )=
- Let U be the universal set for sets A and B such that n(A)=200, n(B)=300 and n(A B)=100. Then, n(A' B') is equal to 300, provided...
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