Sets and Relation questions
385 published questions with worked solutions.
- If n(A)=4, n(B)=2 Then the number of subsets of the set A B each having at least 3 elements are
- If A = x z^+ : x < 10 and x is a multiple of 3 or 4 , where z^+ is the set of positive integers, then the total number of...
- Let A = 1, 2, 3, 4 and R : A → A be the relation defined by R = (1, 1), (2, 3), (3, 4), (4, 2) . The correct statement is :
- Let R = (3, 3)(5, 5), (9, 9), (12, 12), (5, 12), (3, 9), (3, 12), (3, 5) be a relation on the set A = 3, 5, 9, 12 . Then, R is :
- Let R = (x, y) : x, y N and x^2 - 4xy + 3y^2 = 0 , where N is the set of all natural numbers. Then the relation R is :
- Let P be the relation defined on the set of all real numbers such that P = (a, b) : ^2a - ^2b = 1 . Then, P is
- A relation on the set A = x : |x| < 3, x Z , where Z is the set of integers is defined by R = (x, y) : y = |x|, x -1 . Then the...
- Let S = 1, 2, 3, … , 10 . Consider the set X = R : R is an equivalence relation on the set S such that R has exactly 42 elements...
- Let the sets A= 2,4,6,8, and B= 3,6,9,12, , and n(A)=200, n(B)=250. Then
- Let A and B be two sets such that A B = A. Then A B is equal to
- If A and B are two sets then (A - B) (B - A) (A B) is equal to
- 20 teachers of a school either teach mathematics or physics. 12 of them teach mathematics while 4 teach both the subjects. Then...
- Of the members of three athletic teams in a school, 21 are in the cricket team, 26 are in the hockey team and 29 are in the...
- The relation "congruence modulo m" is
- R is a relation over the set of real numbers and it is given by mn 0. Then R is
- R is a relation over the set of integers and it is given by (x, y) R |x - y| 1. Then R is
- Let r be a relation over the set N N and it is defined by (a, b) , r , (c, d) a + d = b + c. Then r is
- Let A = 1, 2, 3 . The total number of distinct relations that can be defined over A is
- On the set A = 1, 2, 3, 4 , a relation is R = (1, 3,), (4, 2), (2, 4), (2, 3), (3, 1) . The relation R is
- Let R be the relation over the set of straight lines of a plane such that l_1 , R , l_2 l_1 l_2. Then R is
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