Sets and Relation questions
385 published questions with worked solutions.
- Let A = 1, 2, 3, 4, 5, 6, 7 . Define B = T ⊆ A : either 1 ∉ T or 2 T and C = T ⊆ A : T the sum of all the elements of T is a...
- Let A = 1, 2, 3, 4, 5, 6, 7 and B = 3, 6, 7, 9 . Then the number of elements in the set C ⊆ A : C B is _____ .
- Let A = n ℕ : H.C.F. (n, 45) = 1 and let B = 2k : k 1, 2, …, 100 . Then the sum of all the elements of A B is _____.
- Let P(S) denote the power set of S = 1, 2, 3,…,10 . Define the relations R_1 and R_2 on P(S) as AR_1B if (A B^c) (B A^c)= and...
- Let R be a relation on R, given by R = (a,b) : 3a-3b+ 7 is an irrational number Then R is
- Let S = 1, 2, 3, 4 . The total number of unordered pairs of disjoint subsets of S is equal to
- Let N be the set of natural numbers and the relation R be defined such that R = (x, y) : y = 2x, x, y N . Then,
- Let S be a set of all distinct numbers of the form p q , where p, q 1, 2, 3, 4, 5, 6 . What is the cardinality of the set S?
- Let R be a relation from A= 1, 2, 3, 4 to B= 1, 3, 5 such that R= (a, b) : a<b, where a A and b B . What is R R^ -1 equal to?
- Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day....
- Consider the following in respect of sets A and B : 1. (A-B) B=A 2. (A-B) A=A 3. (A-B) B= 4. A B A B=B Which of the above are...
- If S= x : x^2+1=0, x is real , then S is
- If E is the universal set and A=B C, then the set E-(E-(E-(E-(E-A)))) is same as the set
- If A= x : x is a multiple of 2 , B= x : x is a multiple of 5 and C= x : x is a multiple of 10 , then A (B C) is equal to
- If we define a relation R on the set N N as (a, b) ,R ,(c, d) a+d=b+c for all (a, b), (c, d) N N, then the relation is
- Let A and B be subsets of X and C=(A B') (A' B), where A' and B' are complements of A and B respectively in X. What is C equal to?
- A survey of 850 students in a University yields that 680 students like music and 215 like dance. What is the least number of...
- If A, B and C are subsets of a Universal set, then which one of the following is **not** correct? (where A' is the complement of...
- If A, B and C are subsets of a given set, then which one of the following relations is **not** correct?
- If a set A contains 3 elements and another set B contains 6 elements, then what is the minimum number of elements that (A B) can...
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