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Practise problems on Mathematical reasoning - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • 26 Questions around this concept.

Solve by difficulty

Negation of the statement:
$\sqrt{5}$ is an integer or 5 is irrational' is :

If $p \rightarrow(p \wedge \sim q)$ is false, then the truth values of p and q are respectively : 

 

The         logical         statement 

$(p\Rightarrow q)\wedge (q\Rightarrow \sim p)$ is equivalent to :

 

The statement among the following that is tautology is:

The statement ${100} p\rightarrow (q\rightarrow p)$ is equivalent to

Let p and q be any two logical statements and $r: p \rightarrow(\sim p \vee q)$ If r has a truth value F, then the truth values of $p$ and $q$ are respectively:

Concepts Covered - 2

Practise Session - 1

Q1. Write the negations of the following:
1. Ram is a doctor or peon.
2. Room is clean and big.
3. $\sqrt{5}$ is a rational number.
4. If Ram is a doctor then he is smart

Practise Session - 2

Q. Write the truth table for the following statements
1. $\sim(\mathrm{p} \vee((\sim \mathrm{q} \Rightarrow \mathrm{q}) \wedge \mathrm{q}))$
2. $(\mathrm{p} \wedge \mathrm{q}) \vee(\sim \mathrm{r})$

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Practise Session - 1
Practise Session - 2

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