Sets and Relation questions
385 published questions with worked solutions.
- In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the...
- Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs...
- Let A= x R:|x+1|<2 and B= x R:|x-1| 2 . Then which one of the following statements is NOT true? (JEE Main 2023)
- An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and...
- Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets...
- Let X= n N:1 n 50 . If A= n X:n is a multiple of 2 and B= n X:n is a multiple of 7 , then the number of elements in the smallest...
- The sum of all the elements in the set n 1,2, ,100 H.C.F. of n and 2040 is 1 is equal to (JEE Main 2021)
- Let A= n N n^2 n+10 , 000 , B= 3k+1 k N and C= 2k k N , then the sum of all the elements of the set A (B-C) is equal to (JEE Main...
- If A= x R :|x-2|>1 , B= x R : x^2-3 >1 , C= x R :|x-4| 2 and Z is the set of all integers, then the number of subsets of the set...
- Let A= n N : H.C.F. (n,45)=1 and B= 2k:k 1,2, ,100 . Then the sum of all the elements of A B is (JEE Main 2022)
- Let A= 1,2,3,4,5,6,7 . Define B= T A: either 1 T or 2 T and C= T A: the sum of all the elements of T is a prime number . Then the...
- Let r be a relation from R (set of real numbers) to R defined by r= (a,b) a,b R and a-b+ 3 is an irrational number . The relation...
- The number of reflexive relations of a set with four elements is equal to
- Let R be the relation on the set R of all real numbers defined by aRb if |a-b| 1, then R is
- R is a relation on N given by R= (x,y):4x+3y=20 . Which of the following belongs to R?
- Which of the following statements is not correct for the relation R defined by aRb if and only if b lives within one kilometre...
- Let W denote the words in the English dictionary. Define the relation R by R= (x,y) W W: the words x and y have at least one...
- On the set N of all natural numbers define the relation R by aRb if and only if the GCD of a and b is 2, then R is
- If R is an equivalence relation on a set A, then R^ -1 is
- If R is a relation defined as aRb iff |a-b|>0, then the relation is
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration