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Sunday, 25 October

JEE Main · Maths · Class 11

Relations and Functions: JEE Main previous year questions

158 questions in 102 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.

Study this chapter
Questions
158
in 102 of 108 shifts · 8 of 8 years
Average a shift
1.2
of 25 Maths · 1.4 since 2024 0.3
Typical range
1.1–1.5
questions a shift; fewest 0.9, most 1.6
Weighted estimate
1.3
model, recent years count more · about 5.3 marks
  • Typical range (fact)
  • Average a shift (fact)
  • Weighted estimate (model)

Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.

What to do

How to spend time on Relations and Functions

Priority

Must do

One of the 8 Maths chapters that together held the first half of Maths questions in the 108 shifts analysed. How bands are set

Past questions
158in 102 of 108 shifts
Study plan gives it
22 hover 12 months; 17 h over 6
Study this chapter →

Ideas asked most often

  1. Counting Relations14×
  2. Relation Types12×
  3. Equivalence Relations10×
  4. Number of Injective Functions7×
  5. Inverse Trig Function Domain6×

59 of the 111 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 26% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.

Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.

Key findings

Relations and Functions at a glance

  1. 01

    74%

    of its 46 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.

  2. 02

    53%

    of the 111 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.

  3. 03

    32%

    of its questions asked for a numerical answer, 1.1 times the Maths average.

  4. 04

    16%

    of its questions were rated hard, against 26% across all Maths questions in the same shifts.

Questions a shift, year by year

Out of the 25 Maths questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

0240.9’171.1’201.3’211.1’221.3’231.6’241.5’251.1’26

Raw count: 2017: 1 in 1 shift · 2020: 13 in 12 shifts · 2021: 37 in 24 shifts · 2022: 32 in 24 shifts · 2023: 18 in 12 shifts · 2024: 35 in 18 shifts · 2025: 12 in 8 shifts · 2026: 10 in 9 shifts.

Kind of question

SHARE OF QUESTIONS
  • Numerical answer32%
  • Multi-step24%
  • Application18%
  • Conceptual16%
  • Calculation6%
  • Two statements2%
  • Recall, single correct1%
  • Diagram based1%

Most common asks: count elements of relation (19); classify function as one-one or onto (12); domain of inverse trig with rational argument (2).

Profile

This chapter in numbers

Where it ranks, how steady it is, and what it costs to study.

Rank, all JEE chapters
#17
of 70 by weighted estimate
Rank in Maths
#7
of 21 chapters
Share of Maths
5.0%
of its questions, all shifts analysed
Busiest year
2024
1.6 questions a shift
Year to year
Steady
varies by about 0.2 questions a shift
Long-run direction
+0.06
questions a shift, per year
Easy questions
20%
16% rated hard
Numerical answer
32%
1.1× the Maths rate
With a figure
1%
graph, diagram or structure
Study time
22 h
17 h on a 6-month plan
Marks per study hour
0.24
#28 of 70 chapters
Foundation for others
49%
of its ideas are used in other chapters

Difficulty, year by year

Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).

  • 20171
  • 202013
  • 202137
  • 202232
  • 202318
  • 202435
  • 202512
  • 202610
  • Easy
  • Medium
  • Hard

What it asks you to do

SHARE OF QUESTIONS
  • Multi-step45%
  • Application22%
  • Conceptual18%
  • Calculation15%
  • Diagram reading1%
  • Recall1%

Coverage

How much of the chapter JEE Main has used

We split the chapter into 111 ideas. In the 108 shifts analysed, JEE Main built a question around 35 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.

Asked as the main idea
35
Touched on in a question
17
Never asked
59

Topics

What repeats, topic by topic

This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. 47 questions had no close topic in Lumi's map and count for the chapter only.

’17’20’21’22’23’24’25’26
015+questions in that year’s analysed shifts, shaded per shift
  • Sets and Relations

    As a topic: 61 questions in 7 of 8 years, most often single correct, 36% numerical answer. Recent asks: statement I/II on a relation; numerical: elements to add for transitivity; numerical: count elements of relation.

  • Functions and Domain

    As a topic: 36 questions in 7 of 8 years, most often single correct, 19% numerical answer.

  • Permutations and Combinations

    As a topic: 137 questions in 8 of 8 years, most often numerical value, 52% numerical answer. Recent asks: distribute objects with no empty box; count words with letter-type restrictions; count distributions of people to floors.

  • Quadratic Roots

    As a topic: 104 questions in 8 of 8 years, most often single correct, 33% numerical answer. Recent asks: quadratic root ratio then conic latus rectum; value from roots of linked quadratics; numerical: sum of powers of quadratic roots.

Drill down

Topic, idea, question

Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.

  • Open60 · 38%51110101563

    15 ideas inside

    • OpenRepeated13 · 22%2342
    • OpenRepeated12 · 20%262
    • OpenRepeated10 · 17%342
    • OpenRepeated5 · 8%22
    • OpenRepeated4 · 7%
    • OpenRepeated3 · 5%
    • Open2 · 3%2
    • OpenRepeated2 · 3%
    • Open2 · 3%2
    • Open2 · 3%2
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
  • Open29 · 18%825832
  • Open14 · 9%4432
  • Open4 · 3%
  • Open2 · 1%
  • Open1 · 1%
  • Open1 · 1%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

The exact ideas JEE Main has asked

Inside the topics, 36 different ideas were tested; 18 came more than once. These are the repeats, then the ideas new since 2024.

Dots are the 8 years with analysed shifts, 2017 to 2026.

Every question

All 158 Relations and Functions questions

Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.

JEE Main 202610 questions

  1. 2 Apr 2026, Shift 1 · Q21If the domain of the function f(x)=log⁡(0.6)(∣2x−5x2−4∣)f(x)=\sqrt{\log_{(0.6)}\left(\left|\frac{2x-5}{x^2-4}\right|\right)} is…HardNumerical value
  2. 2 Apr 2026, Shift 2 · Q21Let A={2,3,4,5,6}A = \{2, 3, 4, 5, 6\}. Let RR be a relation on the set A×AA \times A given by (x,y)R(z,w)(x, y)R(z, w) if and only if xx divides zz and…MediumNumerical value
  3. 4 Apr 2026, Shift 1 · Q4The number of functions f:{1,2,3,4}→{a,b,c}f:\{1,2,3,4\}\to\{a,b,c\}, which are not onto, is:EasySingle correct
  4. 4 Apr 2026, Shift 2 · Q1For the function f:[1,∞)→[1,∞)f:[1,\infty)\to[1,\infty) defined by f(x)=(x−1)4+1f(x)=(x-1)^4+1, among the two statements: (I) The set…HardOther
  5. 4 Apr 2026, Shift 2 · Q16Let for some α∈R\alpha\in\mathbb{R}, f:R→Rf:\mathbb{R}\to\mathbb{R} be a function satisfying f(x+y)=f(x)+2y2+y+αxyf(x+y)=f(x)+2y^2+y+\alpha xy for all…MediumSingle correct
  6. 5 Apr 2026, Shift 1 · Q21Let A={1,2,3,4,5,6}A = \{1, 2, 3, 4, 5, 6\}. The number of one-one functions f:A→Af: A \to A such that f(1)≥3f(1) \geq 3, f(3)≤4f(3) \leq 4 and f(2)+f(3)=5f(2) + f(3) = 5,…MediumNumerical value
  7. 5 Apr 2026, Shift 2 · Q21Let A={1,4,7}A=\{1, 4, 7\} and B={2,3,8}B=\{2, 3, 8\}. Then the number of elements, in the relation…MediumNumerical value
  8. 6 Apr 2026, Shift 2 · Q1Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as f(x)=2x2−3x+23x2+x+3f(x)=\frac{2x^2-3x+2}{3x^2+x+3}. Then ff is :MediumSingle correct
  9. 6 Apr 2026, Shift 2 · Q21Let R={(x,y)∈N×N:log⁡e(x+y)≤2}R=\{(x,y)\in\mathbf{N}\times\mathbf{N}:\log_e(x+y)\le2\}. Then the minimum number of elements, required to be added in R to make it…HardNumerical value
  10. 8 Apr 2026, Shift 2 · Q1Consider the relation R on the set {−2,−1,0,1,2}\{-2, -1, 0, 1, 2\} defined by (a,b)∈R(a, b) \in R if and only if 1+ab>01 + ab > 0. Then, among the statements…MediumOther

JEE Main 202512 questions

  1. 2 Apr 2025, Shift 1 · Q12Let A be the set of all functions f:Z→Zf:\mathbf{Z}\to\mathbf{Z} and R be a relation on A such that…EasySingle correct
  2. 2 Apr 2025, Shift 2 · Q1If the domain of the function f(x)=110+3x−x2+1x+∣x∣f(x) = \frac{1}{\sqrt{10+3x-x^2}} + \frac{1}{\sqrt{x+|x|}} is (a,b)(a, b), then (1+a)2+b2(1+a)^2 + b^2 is equal to :EasySingle correct
  3. 2 Apr 2025, Shift 2 · Q2Let A={1,2,3,…,100}A = \{1, 2, 3, \ldots, 100\} and RR be a relation on AA such that R={(a,b):a=2b+1}R = \{(a, b) : a = 2b + 1\}. Let…MediumSingle correct
  4. 3 Apr 2025, Shift 1 · Q1Let A={−3,−2,−1,0,1,2,3}A = \{-3, -2, -1, 0, 1, 2, 3\}. Let R be a relation on A defined by xRyx\mathrm{R}y if and only if 0≤x2+2y≤40 \le x^2 + 2y \le 4. Let ll be…MediumSingle correct
  5. 3 Apr 2025, Shift 2 · Q1Let A={−2,−1,0,1,2,3}A = \{-2, -1, 0, 1, 2, 3\}. Let R be a relation on AA defined by xRyxRy if and only if y=max⁡{x,1}y = \max\{x, 1\}. Let ll be the number of…MediumSingle correct
  6. 3 Apr 2025, Shift 2 · Q2If the domain of the function f(x)=log⁡7(1−log⁡4(x2−9x+18))f(x) = \log_7 (1 - \log_4 (x^2 - 9x + 18)) is (α,β)∪(γ,δ)(\alpha, \beta) \cup (\gamma, \delta), then…MediumSingle correct
  7. 3 Apr 2025, Shift 2 · Q3Let ff be a function such that f(x)+3f(24x)=4x, x≠0f(x) + 3f\left(\frac{24}{x}\right) = 4x,\ x \neq 0. Then f(3)+f(8)f(3) + f(8) is equal toEasySingle correct
  8. 4 Apr 2025, Shift 2 · Q2Let A={−3,−2,−1,0,1,2,3}A=\{-3,-2,-1,0,1,2,3\} and R be a relation on A defined by xRyxRy if and only if 2x−y∈{0,1}2x-y\in\{0,1\}. Let ll be the number of elements…MediumSingle correct
  9. 7 Apr 2025, Shift 1 · Q24The number of relations on the set A={1,2,3}A = \{1, 2, 3\}, containing at most 6 elements including (1,2)(1, 2), which are reflexive and transitive…HardNumerical value
  10. 7 Apr 2025, Shift 2 · Q2If the range of the function f(x)=5−xx2−3x+2f(x)=\frac{5-x}{x^2-3x+2}, x≠1,2x\ne 1,2, is (−∞,α]∪[β,∞)(-\infty,\alpha]\cup[\beta,\infty), then α2+β2\alpha^2+\beta^2 is…MediumSingle correct
  11. 8 Apr 2025, Shift 2 · Q1Let A={0,1,2,3,4,5}A = \{0, 1, 2, 3, 4, 5\}. Let RR be a relation on AA defined by (x,y)∈R(x, y) \in R if and only if max⁡{x,y}∈{3,4}\max\{x, y\} \in \{3, 4\}. Then…MediumOther
  12. 8 Apr 2025, Shift 2 · Q21Let the domain of the function f(x)=cos⁡−1(4x+53x−7)f(x) = \cos^{-1}\left(\frac{4x+5}{3x-7}\right) be [α,β][\alpha, \beta] and the domain of…MediumNumerical value

JEE Main 202435 questions

  1. 4 Apr 2024, Shift 1 · Q1If the domain of the function sin⁡−1(3x−222x−19)+log⁡e(3x2−8x+5x2−3x−10)\sin^{-1}\left(\frac{3x-22}{2x-19}\right)+\log_e\left(\frac{3x^2-8x+5}{x^2-3x-10}\right) is…MediumSingle correct
  2. 4 Apr 2024, Shift 1 · Q21In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at…HardNumerical value
  3. 4 Apr 2024, Shift 2 · Q1Let a relation R on N×N\mathbb{N}\times\mathbb{N} be defined as: (x1,y1) R (x2,y2)(x_1,y_1)\ \mathrm{R}\ (x_2,y_2) if and only if x1≤x2x_1\le x_2 or…MediumTwo statements
  4. 4 Apr 2024, Shift 2 · Q7Let f(x)=3x−2+4−xf(x)=3\sqrt{x-2}+\sqrt{4-x} be a real valued function. If α\alpha and β\beta are respectively the minimum and the maximum values…HardSingle correct
  5. 4 Apr 2024, Shift 2 · Q21Consider the function f:R→Rf:\mathbb{R}\to\mathbb{R} defined by f(x)=2x1+9x2f(x)=\frac{2x}{\sqrt{1+9x^2}}. If the composition of ff,…HardNumerical value
  6. 5 Apr 2024, Shift 1 · Q1Let A={1,3,7,9,11}A=\{1,3,7,9,11\} and B={2,4,5,7,8,10,12}B=\{2,4,5,7,8,10,12\}. Then the total number of one-one maps f:A→Bf:A\to B, such that f(1)+f(3)=14f(1)+f(3)=14, is :MediumSingle correct
  7. 5 Apr 2024, Shift 1 · Q21If S={a∈R:∣2a−1∣=3[a]+2{a}}S=\{a\in\mathbb{R}:|2a-1|=3[a]+2\{a\}\}, where [t][t] denotes the greatest integer less than or equal to tt and {t}\{t\} represents…HardNumerical value
  8. 5 Apr 2024, Shift 2 · Q2Let f,g:R→Rf, g : \mathbf{R} \to \mathbf{R} be defined as : f(x)=∣x−1∣f(x) = |x-1| and…MediumSingle correct
  9. 6 Apr 2024, Shift 1 · Q1Let the relations R1R_1 and R2R_2 on the set X={1,2,3,….,20}X = \{1, 2, 3, \ldots., 20\} be given by R1={(x,y):2x−3y=2}R_1 = \{(x, y): 2x - 3y = 2\} and…MediumSingle correct
  10. 6 Apr 2024, Shift 1 · Q2The function f(x)=x2+2x−15x2−4x+9f(x)=\frac{x^2+2x-15}{x^2-4x+9}, x∈Rx \in \mathbb{R} isMediumSingle correct
  11. 6 Apr 2024, Shift 1 · Q7Let A={n∈[100,700]∩N:nA = \{n \in [100, 700] \cap \mathbb{N}: n is neither a multiple of 3 nor a multiple of 4}\}. Then the number of elements in AA isEasySingle correct
  12. 6 Apr 2024, Shift 2 · Q1Let f(x)=17−sin⁡5xf(x)=\frac{1}{7-\sin 5x} be a function defined on R\mathbb{R}. Then the range of the function f(x)f(x) is equal to :EasySingle correct
  13. 6 Apr 2024, Shift 2 · Q2Let A={1,2,3,4,5}A=\{1,2,3,4,5\}. Let RR be a relation on AA defined by xRyxRy if and only if 4x≤5y4x\le 5y. Let mm be the number of elements in RR…MediumSingle correct
  14. 8 Apr 2024, Shift 1 · Q1Let [t][t] be the greatest integer less than or equal to tt. Let AA be the set of all prime factors of 2310 and f:A→Zf: A \to \mathbb{Z} be…MediumSingle correct
  15. 8 Apr 2024, Shift 2 · Q1Let A={2,3,6,8,9,11}A = \{2, 3, 6, 8, 9, 11\} and B={1,4,5,10,15}B = \{1, 4, 5, 10, 15\}. Let R be a relation on A×BA \times B defined by (a,b)R(c,d)(a, b)R(c, d) if and only…HardSingle correct
  16. 8 Apr 2024, Shift 2 · Q2Let f(x)={−aif −a≤x≤0x+aif 0<x≤af(x) = \begin{cases} -a & \text{if } -a \le x \le 0 \\ x + a & \text{if } 0 < x \le a \end{cases} where a>0a > 0 and…MediumSingle correct
  17. 9 Apr 2024, Shift 1 · Q1If the domain of the function f(x)=sin⁡−1(x−12x+3)f(x)=\sin^{-1}\left(\frac{x-1}{2x+3}\right) is R−(α,β)\mathbf{R}-(\alpha,\beta), then 12αβ12\alpha\beta is equal…MediumSingle correct
  18. 9 Apr 2024, Shift 1 · Q21Let A={2,3,6,7}A=\{2,3,6,7\} and B={4,5,6,8}B=\{4,5,6,8\}. Let R be a relation defined on A×BA\times B by (a1,b1) R (a2,b2)(a_1,b_1)\,R\,(a_2,b_2) if and only if…MediumNumerical value
  19. 1 Feb 2024, Shift 1 · Q14Open the question · Medium · Single correct
  20. 1 Feb 2024, Shift 1 · Q21Counting Relations · Medium · Numerical value
  21. 1 Feb 2024, Shift 2 · Q1Square Root Function Domain · Medium · Single correct
  22. 1 Feb 2024, Shift 2 · Q2Equivalence Relations · Medium · Single correct
  23. 27 Jan 2024, Shift 1 · Q1Relation Types · Easy · Single correct
  24. 27 Jan 2024, Shift 1 · Q2Open the question · Easy · Single correct
  25. 29 Jan 2024, Shift 1 · Q1Range of Composite Functions · Medium · Single correct
  26. 29 Jan 2024, Shift 1 · Q2Relation Types · Medium · Single correct
  27. 30 Jan 2024, Shift 1 · Q1Inverse Trig Function Domain · Medium · Single correct
  28. 30 Jan 2024, Shift 1 · Q21Total Number of Functions · Hard · Numerical value
  29. 30 Jan 2024, Shift 1 · Q29Inclusion-Exclusion for Three Sets · Hard · Numerical value
  30. 30 Jan 2024, Shift 2 · Q1Intersection of Domains · Medium · Single correct
  31. 30 Jan 2024, Shift 2 · Q21Counting Relations · Medium · Numerical value
  32. 30 Jan 2024, Shift 2 · Q22Roots of Modulus Quadratics · Medium · Numerical value
  33. 31 Jan 2024, Shift 1 · Q1Open the question · Medium · Single correct
  34. 31 Jan 2024, Shift 1 · Q21Equivalence Relations · Medium · Numerical value
  35. 31 Jan 2024, Shift 2 · Q21Relation Types · Medium · Numerical value

JEE Main 202318 questions

  1. 6 Apr 2023, Shift 1 · Q1Roster and Set-Builder Forms · Medium · Single correct
  2. 6 Apr 2023, Shift 1 · Q21Counting Relations · Medium · Numerical value
  3. 6 Apr 2023, Shift 2 · Q1Domain Constraints of Greatest Integer Function · Medium · Two statements
  4. 8 Apr 2023, Shift 1 · Q21Counting Relations · Medium · Numerical value
  5. 8 Apr 2023, Shift 2 · Q1Relation Types · Easy · Single correct
  6. 8 Apr 2023, Shift 2 · Q21Domain via Logarithmic Inequalities · Hard · Numerical value
  7. 8 Apr 2023, Shift 2 · Q23Number of Onto Functions Using PIE · Hard · Numerical value
  8. 10 Apr 2023, Shift 1 · Q1Range of Composite Functions · Hard · Single correct
  9. 10 Apr 2023, Shift 2 · Q1Cartesian Products · Medium · Single correct
  10. 11 Apr 2023, Shift 1 · Q1Inclusion-Exclusion for Three Sets · Easy · Single correct
  11. 11 Apr 2023, Shift 2 · Q1Cartesian Products · Medium · Single correct
  12. 11 Apr 2023, Shift 2 · Q2Domain Constraints of Greatest Integer Function · Medium · Single correct
  13. 12 Apr 2023, Shift 1 · Q21Counting Relations · Hard · Numerical value
  14. 13 Apr 2023, Shift 1 · Q2Roots of Modulus Quadratics · Hard · Single correct
  15. 13 Apr 2023, Shift 2 · Q21Counting Reflexive and Symmetric Relations · Medium · Numerical value
  16. 13 Apr 2023, Shift 2 · Q24Open the question · Medium · Numerical value
  17. 15 Apr 2023, Shift 1 · Q1Inverse Trig Function Domain · Medium · Single correct
  18. 15 Apr 2023, Shift 1 · Q21Relation Types · Medium · Numerical value

JEE Main 202232 questions

  1. 25 Jul 2022, Shift 1 · Q1Total Number of Functions · Medium · Single correct
  2. 25 Jul 2022, Shift 2 · Q21Subsets and Proper Subsets · Hard · Numerical value
  3. 26 Jul 2022, Shift 1 · Q20Open the question · Medium · Single correct
  4. 26 Jul 2022, Shift 2 · Q21Subsets and Proper Subsets · Easy · Numerical value
  5. 27 Jul 2022, Shift 1 · Q1Equivalence Relations · Easy · Single correct
  6. 27 Jul 2022, Shift 1 · Q2Open the question · Medium · Single correct
  7. 27 Jul 2022, Shift 2 · Q1Inverse Trig Function Domain · Hard · Single correct
  8. 27 Jul 2022, Shift 2 · Q22Total Number of Functions · Medium · Numerical value
  9. 28 Jul 2022, Shift 1 · Q8Equivalence Relations · Medium · Single correct
  10. 28 Jul 2022, Shift 1 · Q18Open the question · Medium · Single correct
  11. 28 Jul 2022, Shift 2 · Q61Open the question · Medium · Single correct
  12. 29 Jul 2022, Shift 1 · Q1Counting Relations · Medium · Single correct
  13. 29 Jul 2022, Shift 1 · Q29Open the question · Hard · Numerical value
  14. 29 Jul 2022, Shift 2 · Q19Domain of Rational Composite Inverse Trig · Medium · Single correct
  15. 30 Jul 2022, Shift 2 · Q61Open the question · Medium · Single correct
  16. 24 Jun 2022, Shift 1 · Q21Number of Injective Functions · Hard · Numerical value
  17. 24 Jun 2022, Shift 2 · Q18Open the question · Medium · Single correct
  18. 24 Jun 2022, Shift 2 · Q24Open the question · Medium · Numerical value
  19. 25 Jun 2022, Shift 1 · Q27Open the question · Medium · Numerical value
  20. 25 Jun 2022, Shift 2 · Q1Intervals as Subsets of R · Easy · Single correct
  21. 26 Jun 2022, Shift 1 · Q1Open the question · Medium · Single correct
  22. 26 Jun 2022, Shift 1 · Q27Inclusion-Exclusion for Three Sets · Medium · Numerical value
  23. 26 Jun 2022, Shift 2 · Q1Range of Composite Functions · Medium · Single correct
  24. 27 Jun 2022, Shift 1 · Q21Open the question · Medium · Numerical value
  25. 27 Jun 2022, Shift 2 · Q21Open the question · Hard · Numerical value
  26. 28 Jun 2022, Shift 1 · Q2Open the question · Medium · Single correct
  27. 28 Jun 2022, Shift 1 · Q21Counting Relations · Medium · Numerical value
  28. 28 Jun 2022, Shift 2 · Q1Equivalence Relations · Easy · Single correct
  29. 28 Jun 2022, Shift 2 · Q29Number of Surjective (Onto) Functions · Hard · Numerical value
  30. 29 Jun 2022, Shift 1 · Q11Equivalence Relations · Easy · Single correct
  31. 29 Jun 2022, Shift 1 · Q27Open the question · Medium · Numerical value
  32. 29 Jun 2022, Shift 2 · Q30Open the question · Medium · Numerical value

JEE Main 202137 questions

  1. 3 Aug 2021, Shift 1 · Q61Set Operations · Easy · Single correct
  2. 3 Aug 2021, Shift 2 · Q61Open the question · Medium · Single correct
  3. 3 Aug 2021, Shift 2 · Q81Open the question · Medium · Numerical value
  4. 4 Aug 2021, Shift 1 · Q84Range of Sum of Modulus Functions · Easy · Numerical value
  5. 4 Aug 2021, Shift 2 · Q61Intersection of Domains · Easy · Single correct
  6. 26 Aug 2021, Shift 1 · Q61Venn Diagrams · Medium · Single correct
  7. 26 Aug 2021, Shift 2 · Q75Open the question · Easy · Two statements
  8. 27 Aug 2021, Shift 1 · Q61Nature of Roots · Medium · Single correct
  9. 27 Aug 2021, Shift 1 · Q81Intervals as Subsets of R · Medium · Numerical value
  10. 27 Aug 2021, Shift 2 · Q61Counting Relations · Medium · Single correct
  11. 27 Aug 2021, Shift 2 · Q82Selection of One or More Objects · Hard · Numerical value
  12. 31 Aug 2021, Shift 1 · Q61Relation Types · Medium · Single correct
  13. 31 Aug 2021, Shift 2 · Q61Open the question · Easy · Single correct
  14. 24 Feb 2021, Shift 1 · Q61Open the question · Medium · Single correct
  15. 24 Feb 2021, Shift 1 · Q85Set Operations · Hard · Numerical value
  16. 24 Feb 2021, Shift 2 · Q87Open the question · Medium · Numerical value
  17. 25 Feb 2021, Shift 1 · Q61Open the question · Medium · Single correct
  18. 25 Feb 2021, Shift 2 · Q65Open the question · Medium · Single correct
  19. 25 Feb 2021, Shift 2 · Q78Number of Injective Functions · Easy · Single correct
  20. 25 Feb 2021, Shift 2 · Q80Open the question · Easy · Single correct
  21. 25 Feb 2021, Shift 2 · Q83Open the question · Medium · Numerical value
  22. 26 Feb 2021, Shift 1 · Q72Equivalence Relations · Easy · Single correct
  23. 26 Feb 2021, Shift 1 · Q85Logarithmic Function Domain · Medium · Numerical value
  24. 26 Feb 2021, Shift 2 · Q62Total Number of Functions · Medium · Single correct
  25. 26 Feb 2021, Shift 2 · Q69Domain of Composite Functions · Medium · Single correct
  26. 22 Jul 2021, Shift 2 · Q79Domain Constraints of Greatest Integer Function · Medium · Single correct
  27. 22 Jul 2021, Shift 2 · Q81Number of Injective Functions · Medium · Numerical value
  28. 22 Jul 2021, Shift 2 · Q86Inclusion-Exclusion for Three Sets · Medium · Numerical value
  29. 25 Jul 2021, Shift 1 · Q66Open the question · Hard · Single correct
  30. 25 Jul 2021, Shift 2 · Q64Open the question · Medium · Single correct
  31. 25 Jul 2021, Shift 2 · Q79Open the question · Medium · Single correct
  32. 16 Mar 2021, Shift 2 · Q71Equivalence Relations · Medium · Single correct
  33. 17 Mar 2021, Shift 1 · Q61Venn Diagrams · Easy · Diagram based · has a figure
  34. 17 Mar 2021, Shift 1 · Q69Domain and Range of Inverse Functions · Easy · Single correct
  35. 18 Mar 2021, Shift 1 · Q61Intersection of Domains · Easy · Single correct
  36. 18 Mar 2021, Shift 2 · Q76Domain and Range of Inverse Functions · Medium · Single correct
  37. 18 Mar 2021, Shift 2 · Q78Equivalence Relations · Easy · Single correct

JEE Main 202013 questions

  1. 8 Jan 2020, Shift 1 · Q51Open the question · Medium · Single correct
  2. 8 Jan 2020, Shift 2 · Q51Range Involving Mixed GIF and Fractional Part · Medium · Single correct
  3. 9 Jan 2020, Shift 2 · Q51Intervals as Subsets of R · Easy · Single correct
  4. 2 Sep 2020, Shift 1 · Q51Inverse Relations · Easy · Single correct
  5. 2 Sep 2020, Shift 2 · Q51Open the question · Medium · Single correct
  6. 2 Sep 2020, Shift 2 · Q70Open the question · Medium · Single correct
  7. 3 Sep 2020, Shift 2 · Q51Relation Types · Medium · Single correct
  8. 4 Sep 2020, Shift 1 · Q51Venn Diagrams · Easy · Single correct
  9. 4 Sep 2020, Shift 1 · Q52Open the question · Medium · Single correct
  10. 4 Sep 2020, Shift 2 · Q51Open the question · Medium · Single correct
  11. 5 Sep 2020, Shift 1 · Q51Venn Diagrams · Easy · Single correct
  12. 6 Sep 2020, Shift 2 · Q51Open the question · Medium · Single correct
  13. 6 Sep 2020, Shift 2 · Q73GP Sum of n terms · Medium · Numerical value

JEE Main 20171 question

  1. 2 Apr 2017 (offline) · Q61Open the question · Medium · Single correct

Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.

More Maths, Class 11

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