JEE-MAIN SERIES Mathematics
Operations On Sets
7 previous year questions.
Volume: 7 Ques
Yield: Medium
High-Yield Trend
1
2023 6
2022 Chapter Questions 7 MCQs
01
PYQ 2022
hard
mathematics ID: jee-main
The number of elements in the set S= {x∈R : 2cos = }
1
1
2
3
3
0
4
infinite
02
PYQ 2022
medium
mathematics ID: jee-main
Which of the following statement is a tautology?
1
2
3
4
03
PYQ 2022
medium
mathematics ID: jee-main
The system of equations
–kx + 3y – 14z = 25
–15x + 4y – kz = 3
–4x + y + 3z = 4
is consistent for all k in the set
1
R
2
R – {–11, 13}
3
R – {13}
4
R – {–11, 11}
04
PYQ 2022
medium
mathematics ID: jee-main
Then the number of elements in the set {(n, m) : n, m ∈ { 1, 2….., 10} and nAn + mBm = I} is _______.
05
PYQ 2022
hard
mathematics ID: jee-main
The sum of all the elements of the set {α ∈ {1, 2, …, 100} : HCF(α, 24) = 1} is
06
PYQ 2022
hard
mathematics ID: jee-main
Let S = {E1, E2, ……………., E8} be a sample space of a random experiment such that for every n = 1, 2, ………, 8. Then the number of elements in the set is_________.
07
PYQ 2023
hard
mathematics ID: jee-main
Let the sets A and B denote the domain and range respectively of the function where [x] denotes the smallest integer greater than or equal to x . Then among the statements
(S1) : A ∩ B = (1, ∞) – N and
(S2) : A ∪ B = (1, ∞)
(S1) : A ∩ B = (1, ∞) – N and
(S2) : A ∪ B = (1, ∞)
1
(1) only (S1) is true
2
both (S1) and (S2) are true
3
neither (S1) nor (S2) is true
4
only (S2) is true