Mathematical Reasoning PYQs - Last 10 Years
JEE Main / Mathematics / Algebra / 115 recent questions
MathematicsAlgebra2014-2023
Practice 115 JEE Main Mathematics questions from Mathematical Reasoning. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
115
PYQs on Page
Mathematics / Algebra
2014-2023
Year Range
Based on indexed question metadata
103
Last 5 Years
2019-2023
115
Last 10 Years
2014-2023
Recent Year Trend
2018
2019
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2023Latest year
201824 max PYQs/year2023
Question Types
115PYQs
MCQ97.4%
INTEGER1.7%
MCQM0.9%
Difficulty Mix
#1 Easy80
#2 Medium35
103 in last 5 years115 in last 10 years
Last 10 Years Mathematical Reasoning Questions
Showing 15 of 115 filtered questions.
1Mathematical Reasoning
Consider the following three statements :
P : 5 is a prime number
Q : 7 is a factor of 192
R : L.C.M. of 5 and 7 is 35
Then the truth value of which one of the following statements is true ?
P : 5 is a prime number
Q : 7 is a factor of 192
R : L.C.M. of 5 and 7 is 35
Then the truth value of which one of the following statements is true ?
MCQ+4 / -12019
2Mathematical Reasoning
Which one of the following Boolean expressions is a tautology?
MCQ+4 / -12019
3Mathematical Reasoning
The negation of the Boolean expression ~ s \(\vee\) (~r \(\wedge\) s) is equivalent to :
MCQ+4 / -12019
4Mathematical Reasoning
If p \(\to\) (\(\sim\) p\(\vee\) \(\sim\) q) is false, then the truth values of p and q are respectively :
MCQ+4 / -12018
5Mathematical Reasoning
If (p \(\wedge\) \(\sim\) q) \(\wedge\) (p \(\wedge\) r) \(\to\) \(\sim\) p \(\vee\) q is false, then the truth values of \(p, q\) and \(r\) are, respectively :
MCQ+4 / -12018
6Mathematical Reasoning
Consider the following two statements :
Statement p :
The value of sin 120o can be derived by taking \(\theta = {240^o}\) in the equation
2sin\({\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }\)
Statement q :
Th...
Statement p :
The value of sin 120o can be derived by taking \(\theta = {240^o}\) in the equation
2sin\({\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }\)
Statement q :
Th...
MCQ+4 / -12018
7Mathematical Reasoning
The Boolean expression
\(\sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)\) is equvalent to :
\(\sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)\) is equvalent to :
MCQ+4 / -12018
8Mathematical Reasoning
Contrapositive of the statement
‘If two numbers are not equal, then their squares are not equal’, is :
‘If two numbers are not equal, then their squares are not equal’, is :
MCQ+4 / -12017
9Mathematical Reasoning
The proposition \(\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)\) is equivalent to :
MCQ+4 / -12017
10Mathematical Reasoning
The following statement
\(\left( {p \to q} \right) \to \left[ {\left( { \sim p \to q} \right) \to q} \right]\) is :
\(\left( {p \to q} \right) \to \left[ {\left( { \sim p \to q} \right) \to q} \right]\) is :
MCQ+4 / -12017
11Mathematical Reasoning
Consider the following two statements :
P : If 7 is an odd number, then 7 is
divisible by 2.
Q : If 7 is a prime number, then 7 is an
odd number
If V1 is the truth value of the contrapositive of P and V2 is the truth value of contr...
P : If 7 is an odd number, then 7 is
divisible by 2.
Q : If 7 is a prime number, then 7 is an
odd number
If V1 is the truth value of the contrapositive of P and V2 is the truth value of contr...
MCQ+4 / -12016
12Mathematical Reasoning
The contrapositive of the following statement,
“If the side of a square doubles, then its area increases four times”, is :
“If the side of a square doubles, then its area increases four times”, is :
MCQ+4 / -12016
13Mathematical Reasoning
The Boolean expression
\(\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)\) is equivalent to :
\(\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)\) is equivalent to :
MCQ+4 / -12016
14Mathematical Reasoning
The negation of \(\sim s \vee \left( { \sim r \wedge s} \right)\) is equivalent to :
MCQ+4 / -12015
15Mathematical Reasoning
The statement \(\sim \left( {p \leftrightarrow \sim q} \right)\) is :
MCQ+4 / -12014