JEE Main questions
34495 published questions with worked solutions.
- If A= a,b,c,l,m,n , then the maximum number of elements in any relation on A is
- If A is a non-empty set, then which of the following is false? p: There is at least one reflexive relation on A q: There is at...
- Let X be the set of all engineering colleges in a state of the Indian Republic and R be a relation on X defined as: two colleges...
- Let R be a relation from a set A to a set B, then
- Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then, R is
- 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)
- Let X= 1,2,3,4,5 . The number of different ordered pairs (Y,Z) that can be formed such that Y X, Z X and Y Z is empty, is (AIEEE...
- 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)