Learn

Friday, 9 October

JEE Main Maths · Class 11

Mathematical Reasoning: JEE Main previous year questions

Mathematical Reasoning had 15 questions in the 42 JEE Main shifts Lumi analysed, about 0.5 a shift, asked in 15 of 42 shifts. It ranks 22 of 22 Maths chapters by questions; 0% of its questions were hard.

Questions
15
in 15 of 42 shifts
A shift, on average
0.5
of 25 Maths questions
Since 2024
-0.8
0.8 a shift in 2017–23, 0.0 in 2024–26
Numerical answer
1
7% of its questions

Year by year

How often it came

Questions in the analysed shifts of each year. Years differ in how many shifts Lumi analysed, so read the bars with the shift count.

Questions each year
0241’174’202’214’224’230’240’250’26

2017: 1 shifts · 2020: 4 shifts · 2021: 4 shifts · 2022: 4 shifts · 2023: 4 shifts · 2024: 8 shifts · 2025: 8 shifts · 2026: 9 shifts

Difficulty by year
  • 20171
  • 20204
  • 20212
  • 20224
  • 20234
  • 2024
  • 2025
  • 2026
  • Easy
  • Medium
  • Hard

Inside the chapter

Topics and the ideas that repeat

0 topics and 0 distinct ideas; 0 ideas were asked more than once. Most questions are single correct and conceptual.

Topics, by questions

    15 questions had no close topic in our taxonomy and are counted for the chapter only.

    Ideas asked most
    0 repeat

    No question here had a close idea in our taxonomy.

    Every question

    All 15 Mathematical Reasoning questions

    Newest first. Each opens with its options and the official answer.

    2023 4 questions

    1. 6 Apr 2023, Shift 1 · Q20Statement (P⇒Q)∧(R⇒Q)(P\Rightarrow Q)\wedge(R\Rightarrow Q) is logically equivalent toEasySingle correct
    2. 8 Apr 2023, Shift 2 · Q20The negation of (p∧(∼q))∨(∼p)(p \wedge (\sim q)) \vee (\sim p) is equivalent toEasySingle correct
    3. 11 Apr 2023, Shift 1 · Q23The number of ordered triplets of the truth values of pp, qq and rr such that the truth value of the statement…EasyNumerical value
    4. 13 Apr 2023, Shift 2 · Q20The statement (p∧(∼q))∨((∼p)∧q)∨((∼p)∧(∼q))(p\wedge(\sim q))\vee((\sim p)\wedge q)\vee((\sim p)\wedge(\sim q)) is equivalent to ______EasySingle correct

    2022 4 questions

    1. 25 Jul 2022, Shift 1 · Q20Which of the following statements is a tautology ?EasySingle correct
    2. 28 Jul 2022, Shift 1 · Q5Let the operations ∗,⊙∈{∧,∨}*,\odot\in\{\wedge,\vee\}. If (p∗q)⊙(p⊙∼q)(p*q)\odot(p\odot\sim q) is a tautology, then the ordered pair (∗,⊙)(*,\odot) is :MediumSingle correct
    3. 24 Jun 2022, Shift 1 · Q20The number of choices for Δ∈{∧,∨,⇒,⇔}\Delta\in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}, such that…MediumSingle correct
    4. 29 Jun 2022, Shift 1 · Q9Let Δ∈{∧,∨,⇒,⇔}\Delta \in \{\wedge, \vee, \Rightarrow, \Leftrightarrow\} be such that (p∧q) Δ ((p∨q)⇒q)(p \wedge q)\,\Delta\,((p \vee q) \Rightarrow q) is a…EasySingle correct

    2021 2 questions

    1. 3 Aug 2021, Shift 2 · Q80The statement ∼(p↔∼q)\sim(p \leftrightarrow \sim q) is equivalent toEasySingle correct
    2. 25 Jul 2021, Shift 1 · Q77The Boolean expression (p⇒q)∧(q⇒∼p)(p\Rightarrow q)\wedge(q\Rightarrow\sim p) is equivalent to :EasySingle correct

    2020 4 questions

    1. 8 Jan 2020, Shift 1 · Q70Which one of the following is a tautology ?EasySingle correct
    2. 9 Jan 2020, Shift 2 · Q70If p→(p∧∼q)p\to(p\wedge\sim q) is false, then the truth values of pp and qq are respectively :EasySingle correct
    3. 2 Sep 2020, Shift 1 · Q70The contrapositive of the statement "If I reach the station in time, then I will catch the train" is :EasySingle correct
    4. 6 Sep 2020, Shift 2 · Q70Consider the statement : "For an integer n, if n3−1n^3-1 is even, then n is odd." The contrapositive statement of this statement is :EasySingle correct

    2017 1 questions

    1. 2 Apr 2017 (offline) · Q90The following statement (p→q)→[(∼p→q)→q](p\rightarrow q)\rightarrow[(\sim p\rightarrow q)\rightarrow q] is :MediumSingle correct

    Pattern: Asked most years.