JEE Main questions
34495 published questions with worked solutions.
- 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 S= 1,2,3,4,5,6,9 . Then the number of elements in the set T= A S:A and the sum of all the elements of A is not a multiple of...
- 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,a_1,a_2, ,a_ 18 ,77 be a set of integers with 1<a_1<a_2< <a_ 18 <77. Let the set A+A= x+y:x,y A contain exactly 39...
- 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
- Let A= 1,2,3 and B= 2,3,4 , then which of the following relations is a function from A to B?
- 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
- Let R be the real line. Consider the following subsets of the plane R R: S= (x,y):y=x+1 and 0<x<2 and T= (x,y):x-y is an integer...
- Let R be a relation on the set of integers given by aRb a=2^k b for some integer k. Then, R is
- Let A= 2,3,4,5, ,16,17,18 . Let be the equivalence relation on A A defined by (a,b) (c,d) iff ad=bc. Then the number of ordered...
- Let A= x,y,z and B= a,b,c,d . Which one of the following is not a relation from A to B?
- The relation R= (1,1),(2,2),(3,3) on the set 1,2,3 is