Sets and Relation questions
385 published questions with worked solutions.
- If A and B are two non-empty sets having 10 elements in common, then how many elements do A B and B A have in common?
- In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one...
- If A and B are non-empty subsets of a set, and A^c and B^c represent their complements, then which of the following is/are...
- Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X-Y) (Y-X)...
- Let A= -3, -2, -1, 0, 1, 2, 3 and B= 0, 1, 4, 9 . How many elements does the subset of A B corresponding to the relation R= (x,...
- What is (((A B) (A-B))-((A B) (B-A))) A equal to?
- Let A and B be two sets. For some set C, both A C and B C are empty sets and A C=B C. Which of the following is/are true? I. C=...
- Let R be a relation on the set N of natural numbers defined by R= (x, y) : x, y N and x=y^3 . Which of the following statements...
- Consider the following statements in respect of the events A, B, C : I. (A B C) ( A B C ) is an impossible event. II. (A B C) ( A...
- Let S be the set of all real numbers and R be a relation on S defined by xRy |x| y. Then R is
- Consider the following statements in respect of sets A and B : I. If x A and A B, then x B. II. If A B and x B, then x A. Which...
- A research group conducted a survey of 500 consumers and reported that 370 consumers preferred product X and 240 consumers...
- The Cartesian product A A has 25 elements among which are found (3, 1), (6, 2), (5, 3). Which of the following statements is/are...
- Consider the following statements in respect of a relation R from a set A to a set B : I. The set B is called codomain of the...
- Consider the following statements : 1. A= 1, 3, 5 and B= 2, 4, 7 are equivalent sets. 2. A= 1, 5, 9 and B= 1, 5, 5, 9, 9 are...
- Consider the following statements : 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has...
- Let R be a relation defined as xRy if and only if 2x+3y=20, where x, y N. How many elements of the form (x, y) are there in R?
- Consider the following statements in respect of sets : 1. The union over intersection of sets is distributive. 2. The complement...
- Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S=(X-Y) Z. How...
- Consider the following statements in respect of relations and functions : 1. All relations are functions but all functions are...
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