Sets and Relation questions
385 published questions with worked solutions.
- In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what per cent of...
- If A= x : 0 x 2 and B= y : y is a prime number , then what is A B equal to?
- Let S= 2, 4, 6, 8, , 20 . What is the maximum number of subsets does S have?
- Let S= 1, 2, 3, . A relation R on S S is defined by xRy if _ax> _ay when a= 1 2 . Then the relation is
- Consider the proper subsets of 1, 2, 3, 4 . How many of these proper subsets are superset of the set 3 ?
- If A= 1, 2, 3 , then how many elements are there in the power set of A?
- Consider all the subsets of the set A= 1, 2, 3, 4 . How many of them are supersets of the set 4 ?
- Consider the following statements in respect of two non-empty sets A and B : 1. x (A B) x A or x B 2. x (A B) x A and x B Which...
- Consider the following statements in respect of two non-empty sets A and B : 1. A B=A B iff A=B 2. A B= iff A=B Which of the...
- Consider the following statements in respect of the relation R in the set N of natural numbers defined by xRy if x^2-5xy+4y^2=0 :...
- Consider the following statements in respect of any relation R on a set A : 1. If R is reflexive, then R^ -1 is also reflexive 2....
- Consider the following statements : 1. The set of all irrational numbers between 2 and 5 is an infinite set. 2. The set of all...
- Let R be a relation from N to N defined by R= (x, y) : x, y N and x^2=y^3 . Which of the following are **not** correct? 1. (x, x)...
- Consider the following : 1. A B=A C B=C 2. A B=A C B=C Which of the above is/are correct?
- The Cartesian product A A has 16 elements among which are (0, 2) and (1, 3). Which of the following statements is/are correct? 1....
- Consider the following statements : 1. A=(A B) (A-B) 2. A (B-A)=(A B) 3. B=(A B)-(A-B) Which of the statements given above are...
- Let R be a relation on the open interval (-1, 1) and is given by R= (x, y) : |x+y|<2 . Then which one of the following is correct?
- For any three non-empty sets A, B, C, what is (A B)- (A-B) (B-A) (A B) equal to?
- Consider the following statements : I. The set of all irrational numbers between 12 and 15 is an infinite set. II. The set of all...
- Let P and Q be two non-void relations on a set A. Which of the following statements are correct? I. P and Q are reflexive P Q is...
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