PrepWiser › Learn › Mathematics › SetsSets — JEE Main PYQs & Practice Questions Sets is a Mathematics chapter in the JEE Main syllabus. This page brings together 43 previous-year and practice questions on Sets, organised into 4 topics: Types of Sets, Subsets and Power Set, Set Operations and Venn Diagrams. Most questions come with a step-by-step solution you can work through free in PrepWiser.
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Chapter weightage : how many questions each chapter had per shift in the 2024–26 papers.
Types of Sets Subsets and Power Set Let S = 1, 2, 3, 4, 5, 6, 9. Then the number of elements in the set T = A ⊆ S : A ≠ φ… Set A has m elements and set B has n elements. If the total number of subsets of A is… The number of elements in the power set of {1, 2, 3, 4} is: Let A={1,2,3,4,5,6,7} and B={3,6,7,9}. Then the number of elements in the set {C ⊆ A: C… Let A and B be two finite sets with m and n elements respectively. The total number of… Let the number of elements in sets A and B be five and two respectively. Then the number… Set Operations If A = x ∈ R : |x - 2| > 1, B = x ∈ R : √(x² - 3) > 1, C = x ∈ R : |x - 4| ≥ 2 and Z is… Let A = n ∈ N : H.C.F. (n, 45) = 1 and Let B = 2k : k ∈ 1, 2, ......., 100. Then the sum… Let S₁ = { x ∈ R - { 1,2} :(x + 2)(x² + 3x + 5)/(- 2 + 3x - x²) ≥ 0 } and S₂ = { x ∈… Let S={x ∈[-6,3]-{-2,2}: (|x+3|-1)/(|x|-2) ≥ 0} and T={x ∈ ℤ: x²-7|x|+9 ≤ 0} . Then the… Let S={p₁, p₂ …, p₁₀} be the set of first ten prime numbers. Let A=S ∪ P, where P is the… If A = x ∈ R : |x| < 2 and B = x ∈ R : |x – 2| ≥ 3; then : If A has 5 elements and B has 4 elements, and A ∩ B has 2 elements, then A ∪ B has x… Let A={x ∈(0, π)-{π/2}: log _((2 /π))|sin x|+log _((2 / π))|cos x|=2} and B={x ≥ 0… Let ∪ ᵢ₌₁⁵⁰ Xᵢ = ∪ ᵢ₌₁ⁿ Yᵢ = T where each Xᵢ contains 10 elements and each Yᵢ contains 5… The intersection of two sets is always a subset of each set. If A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B is: Let X = n ∈ N : 1 ≤ n ≤ 50. If A = n ∈ X: n is a multiple of 2 and B = n ∈ X: n is a… Let A={1,2,3,4,5,6,7}. Define B={T ⊆ A : either 1 ∉ T or 2 ∈ T} and C={T ⊆ A: T the sum… Let S={4,6,9} and T={9,10,11, …, 1000}. If A={a₁+a₂+…+aₖ: k ∈ N, a₁, a₂, a₃, …, aₖ ε S}… Let S={(x, y) ∈ ℕ × ℕ: 9(x-3)²+16(y-4)² ≤ 144} and T={(x, y) ∈ ℝ × ℝ:(x-7)²+(y-4)² ≤… Let A = n ∈ N: n is a 3-digit number B = 9k + 2: k ∈ N and C = 9k + l: k ∈ N for some l… Let S be the set of the first 11 natural numbers. Then the number of elements in A={B⊆… Let A = n ∈ N | n² ≤ n + 10,000, B = 3k + 1 | k∈ N an dC = 2k | k∈N, then the sum of all… Let A = 1, a₁, a₂ ....... a₁₈, 77 be a set of integers with 1 < a₁ < a₂ < ....... < a₁₈… Consider the two sets : A = m ∈ R : both the roots of x² – (m + 1)x + m + 4 = 0 are real… Venn Diagrams Let A={x:|x²-10|≤ 6} and B={x:|x-2|>1}. Then Let A={n ∈[100,700] ∩ N: n is neither a multiple of 3 nor a multiple of 4}. Then the… Let A = (α, β) ∈ ℝ × ℝ : |α - 1| ≤ 4 and |β - 5| ≤ 6 and B = (α, β) ∈ ℝ × ℝ : 16(α - 2)²… A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics… In a school, there are three types of games to be played. Some of the students play two… Out of all the patients in a hospital 89% are found to be suffering from heart ailment… Let A={(x, y) ∈ R × R:|x+y| ≥ 3} and B={(x, y) ∈ R × R:|x|+|y| ≤ 3}. If C={(x, y) ∈ A ∩… The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by… In a survey of 220 students of a higher secondary school, it was found that at least 125… An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If… A survey shows that 63% of the people in a city read newspaper A whereas 76% read… The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by… The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is… More Mathematics chapters Frequently asked questions How many Sets questions are there for JEE Main? PrepWiser has 43 Sets questions for JEE Main, grouped into 4 topics such as Types of Sets, Subsets and Power Set and Set Operations.
Are these Sets questions from previous-year JEE Main papers? Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.
Where can I see the answers and solutions to these Sets questions? Open any Sets question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.