JEE Main Mathematics: Sets & Relations Practice Questions

13 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$If A is a subset of B, then A intersection B is equal to$
Easy
Q2.
$If set A has 3 elements and set B has 2 elements, then the number of elements in the Cartesian product A x B is$
Easy
Q3.
$Which of the following sets is a singleton set?$
Easy
Q4.
$If the power set of set A has 16 elements, then the number of elements in set A is$
Easy
Q5.
$If A and B are two sets such that A has 4 elements and B has 3 elements, what is the number of subsets of the Cartesian product Across B?$
Medium
Q6.
$In a group of 50 students, 20 play cricket, 15 play football, and 10 play both. How many students play neither cricket nor football?$
Medium
Q7.
$L e t A = 1, 2, 3 . H o w man y r e l a t i o n so n A a r e b o t h r e f l e x i v e an d sy mm e t r i c ?$
Medium
Q8.
$Let A and B be two sets such that the number of elements in A is 3 and the number of elements in B is 6. What is the minimum number of elements in the union of$
Medium
Q9.
$Let R be a relation on the set of real numbers defined by xRy if and only if x - y is an integer. Which of the following is true about R?$
Medium
Q10.
$Let f: R to R be a function such that f(x + y) = f(x) + f(y) for all x, y in R. If the relation R is defined by x R y if f(x) = f(y), then R is:$
Hard
Q11.
$L e t A = 1, 2, 3 . T h e n u mb er o f r e l a t i o n so n A t ha t a r er e f l e x i v e an d sy mm e t r i c i s :$
Hard
Q12.
$L e tS b e t h ese t o f a l l s u b se t so f 1, 2, ..., n . A r e l a t i o n R i s d e f in e d o n S b y A R B i f an d o n l y i f A in t er sec t i o n B i s n o t e m pt y . W hi c h o f t h e f o l l o w in g i s$
Hard
Q13.
$L e t A b e a se t o f a l l 3 x 3 ma t r i ces w i t h e n t r i es f r o m 0, 1 . L e tR b e a r e l a t i o n o n A d e f in e d b y A R B i f an d o n l y i f t h er ee x i s t s anin v er t ib l e ma t r i x P s u c h t$
Hard

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