Sets and Relation questions
385 published questions with worked solutions.
- For any three sets A_1, A_2, A_3, let B_1=A_1, B_2=A_2-A_1 and B_3=A_3-(A_1 A_2). Then which one of the following statements is...
- In a town of 10,000 families, 40% buy newspaper A, 20% buy B, 10% buy C, 5% buy A and B, 3% buy B and C, 4% buy A and C, and 2%...
- Which of the following cannot be the number of elements in the power set of any finite set?
- If A_1,A_2, ,A_ 100 are sets such that n(A_i)=i+2, A_1 A_2 A_3 A_ 100 and _ i=3 ^ 100 A_i=A, then n(A)=
- Let A= (x,y):y=e^x, x R and B= (x,y):y=e^ -x , x R . Then,
- Which of the following is an equivalence relation?
- If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A...
- In a set of ants in a locality, each ant moves along a single straight line. Two ants are said to be related iff they walk on the...
- If A and B are two sets such that n(A B )=9, n( A B)=10 and n(A B)=24, then n(A B)=
- Let X= 1,2,3,4,5 and Y= 1,3,5,7,9 . Which of the following is not a relation from X to Y?
- Let R and S be two relations on a set A. Then, which one of the following is not true?
- In the set A= 1,2,3,4,5 , a relation R is defined by R= (x,y):x,y A and x<y . Then, R is
- The void relation on a non-empty set A is
- Let A be the set of all students in a school. A relation R is defined on A as follows: "aRb iff a and b have the same class...
- Let A= p,q,r . Which of the following is an equivalence relation on A?
- Let A be the set of all animals. A relation R is defined as "aRb iff a and b are in different zoological parks". Then R is
- Let R be a relation defined on S, the set of squares on a chess board, such that xRy iff x=y or x and y share a common side....
- The relation 'is not equal to' defined on R is
- Consider the following statements: (i) Every reflexive relation is antisymmetric (ii) Every symmetric relation is antisymmetric...
- Let P= (x,y) x^2+y^2=1, x,y R be a relation on R. Then, P is
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