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Mathematical Reasoning JEE Main PYQs (2008–2023) with Solutions — Mathematics | JEE Arc

Mathematics JEE Main PYQs

Mathematical Reasoning

Historical chapter, outside the current JEE Main unit list. The older questions stay here for reference.

About 7.2 questions a year across 16 years of papers, each with a full worked solution.

Practise this chapter All 117 questions

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2’17

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14’19

15’20

24’21

22’22

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117 questions in the bank

Practise this topic

Q01JEE Main 20205 Sep, Evening shiftEasyMathematical Reasoning115× since 2008

The statement

\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)

is :

All 117 Mathematical Reasoning questions by year

JEE Main 2023 23

31 Jan Morning shift Q4381(S 1)~(p ⇒ q) (p (q)) is a tautology (S 2)~((p) ⇒(q)) ((p) q) is a contradiction. Then
30 Jan Morning shift Q4382Among the statements: (S 1)~((p q) ⇒ r) (p ⇒ r) (S 2)~((p q) ⇒ r) ((p ⇒ r) (q ⇒ r))
1 Feb Evening shift Q4378Which of the following statements is a tautology?
31 Jan Evening shift Q4379The number of values of r, q, p, q for which ((p q) ⇒(r q)) ((p r) ⇒ q) is a tautology, is:
1 Feb Morning shift Q4380The negation of the expression q ((q) p) is equivalent to
29 Jan Morning shift Q4383If p,q and r are three propositions, then which of the following combination of truth values of p,q and r…
25 Jan Evening shift Q4384Let Δ,, be such that (p → q)Δ (p q) is a tautology. Then
25 Jan Morning shift Q4385The statement (p (q)) ⇒ (p ⇒ (q)) is
24 Jan Evening shift Q4386Let p and q be two statements. Then (p (p ⇒ q)) is equivalent to
24 Jan Morning shift Q4387The compound statement ((P Q)) ((P) Q) ⇒ ((P) (Q)) is equivalent to

Mathematical Reasoning

Questions per year

117 questions in the bank

All 117 Mathematical Reasoning questions by year

JEE Main 2023 23

Mathematical Reasoning

Questions per year

117 questions in the bank

All 117 Mathematical Reasoning questions by year

JEE Main 2023 23

JEE Main 2022 23

JEE Main 2021 24

JEE Main 2020 15

JEE Main 2019 14

JEE Main 2018 4

JEE Main 2017 2

JEE Main 2016 3

JEE Main 2015 1

JEE Main 2014 1

JEE Main 2013 1

JEE Main 2012 1

JEE Main 2011 1

JEE Main 2010 1

JEE Main 2009 1

JEE Main 2008 2