Exams
Subjects
Classes
Home
Exams
Mathematics
mathematical reasoning
the negation of statement...
Question:
medium
The negation of statement pattern $(p \wedge \sim q) \rightarrow (p \vee \sim q)$ is
Show Hint
$\sim(P \rightarrow Q) \equiv P \wedge \sim Q$. If you test this with a truth table, you will find all entries are False.
MHT CET - 2025
MHT CET
Updated On:
Apr 30, 2026
a tautology
a contingency
a contradiction
equivalent to $p \vee q$
Show Solution
The Correct Option is
C
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on mathematical reasoning
The number of different permutations of all the letters of the word "PERMUTATION" such that any two consecutive letters in the arrangement are neither both vowels nor both identical is:
VITEEE - 2024
Mathematics
mathematical reasoning
View Solution
Consider the following inequalities: \[ p^2 - 4q < 4, 3p + 2q < 6 \] where \(p\) and \(q\) are positive integers. The value of \((p+q)\) is \underline{\hspace{1cm}}.
GATE AR - 2023
General Aptitude
mathematical reasoning
View Solution
For p and q, consider: (a) (~ q ∧ (p → q)) → ~ p, (b) ((p ∨ q) ∧ ~ p) → q. Which is correct ?
JEE Main - 2021
Mathematics
mathematical reasoning
View Solution
The negation of the statement ~p ∧ (p ∨ q) is :
JEE Main - 2021
Mathematics
mathematical reasoning
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in MHT CET exam
Which disease is primarily spread by female Anopheles mosquitoes?
MHT CET - 2024
HIV and AIDS
View Solution
How many ATP molecules are needed as an initial investment in the glycolytic cycle (normal glycolysis)?
MHT CET - 2024
Glycolysis
View Solution
Total genetic content of an organism is called
MHT CET - 2024
Non-Mendelian Genetics
View Solution
Two monkeys off mass 10 kg and 8 kg are moving along a vertical light rope the former climbing up with an acceleration of 2 m/second square while the latter coming down with a uniform velocity of 2 m/sec square find the tension in the rope at the fixed support
MHT CET - 2024
tension
View Solution
Maximize \( z = x + y \) subject to: \[ x + y \leq 10, \quad 3y - 2x \leq 15, \quad x \leq 6, \quad x, y \geq 0. \] Find the maximum value.
MHT CET - 2024
Linear Programming Problem
View Solution