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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, ∞)
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

About Operations On Sets - JEE-MAIN

Operations On Sets is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Operations On Sets PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Operations On Sets carry the most weight. Then, tackle the questions iteratively to solidify your understanding.