Sets and Relation questions
385 published questions with worked solutions.
- Let L be the set of all straight lines in the Euclidean plane. Two lines l_1 and l_2 are said to be related by the relation R iff...
- Let R and S be two equivalence relations on a set A. Then,
- A relation between two persons is defined as follows: aRb a and b were born in different months. Then, R is
- Two points P and Q in a plane are related if OP=OQ, where O is a fixed point. This relation is
- If R A B and S B C are relations, then (S R)^ -1 =
- If A= 4,6,10,12 and R is a relation defined on A as "two elements are related iff they have exactly one common factor other than...
- The relation R= (1,3),(3,5) is defined on the set 1,3,5 . The minimum number of ordered pairs to be added to R so that R becomes...
- Given the relation R= (1,2),(2,3) on the set A= 1,2,3 , the minimum number of ordered pairs which when added to R make it an...
- Let R be a reflexive relation on a set A and I be the identity relation on A. Then,
- Let L denote the set of all straight lines in a plane. Let a relation R be defined by R , , L. Then R is
- On the set of human beings a relation R is defined as follows: "aRb iff a and b have the same father". Then R is
- If A, B and C are three sets such that A B=A C and A B=A C, then (AIEEE 2009)
- In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is...
- Let S= 1,2,3, ,100 . The number of non-empty subsets A of S such that the product of elements in A is even is (JEE Main 2014)
- Let Z be the set of integers. If A= x Z:2^ (x+2)(x^2-5x+6) =1 and B= x Z:-3<2x-1<9 , then the number of subsets of the set A B is...
- Let A, B and C be sets such that A B C. Then which of the following statements is not true? (JEE Main 2019)
- If A= x R:|x|<2 and B= x R:|x-2| 3 , then (JEE Main 2020)
- A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x % of the people read both the...
- Let _ i=1 ^ 50 X_i= _ i=1 ^ n Y_i=T, where each X_i contains 10 elements and each Y_i contains 5 elements. If each element of the...
- A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of...
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