NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
VISIT NOW

JEE Main

Sets and Relations

Mathematics

Previous Years Questions

MCQ (Single Correct Answer)

More
Let $$R_{1}$$ and $$R_{2}$$ be two relations defined on $$\mathbb{R}$$ by $$a \,R_{1} \,b \Leftrightarrow a b \geq 0$$ a...
JEE Main 2022 (Online) 27th July Morning Shift
Let $$A = \{ x \in R:|x + 1| ...
JEE Main 2022 (Online) 25th June Evening Shift
Let R1 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| $$\le$$ 13} and R2 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| ...
JEE Main 2022 (Online) 28th June Evening Shift
Let a set A = A1 $$\cup$$ A2 $$\cup$$ ..... $$\cup$$ Ak, where Ai $$\cap$$ Aj = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j...
JEE Main 2022 (Online) 29th June Morning Shift
Two newspapers A and B are published in a city. It is known that 25% of the city populations reads A and 20% reads B whi...
JEE Main 2019 (Online) 9th April Evening Slot

Numerical

More
Let $$A=\{1,2,3,4,5,6,7\}$$ and $$B=\{3,6,7,9\}$$. Then the number of elements in the set $$\{C \subseteq A: C \cap B \n...
JEE Main 2022 (Online) 26th July Evening Shift
Let $$A=\{1,2,3,4,5,6,7\}$$. Define $$B=\{T \subseteq A$$ : either $$1 \notin T$$ or $$2 \in T\}$$ and $$C=\{T \subseteq...
JEE Main 2022 (Online) 25th July Evening Shift
The sum of all the elements of the set $$\{ \alpha \in \{ 1,2,.....,100\} :HCF(\alpha ,24) = 1\} $$ is __________....
JEE Main 2022 (Online) 24th June Evening Shift
Let A = {n $$\in$$ N : H.C.F. (n, 45) = 1} and Let B = {2k : k $$\in$$ {1, 2, ......., 100}}. Then the sum of all the el...
JEE Main 2022 (Online) 26th June Morning Shift
Let A = {1, a1, a2 ....... a18, 77} be a set of integers with 1 1 2 18 1 + a2 + ...... + a18 is equal to _____________....
JEE Main 2022 (Online) 28th June Morning Shift
Let R1 and R2 be relations on the set {1, 2, ......., 50} such that R1 = {(p, pn) : p is a prime and n $$\ge$$ 0 is an i...
JEE Main 2022 (Online) 28th June Morning Shift
Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S $$\times$$ S $$\to$$ S : f is onto and f (a, b) = f...
JEE Main 2022 (Online) 28th June Evening Shift

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12