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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

    QuestionEASY

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

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

     

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    The         logical         statement 

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

     

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    The statement among the following that is tautology is:

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

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    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:

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    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. $(\mathrm{p} \wedge \mathrm{q}) \vee(\sim \mathrm{r})$

    Study it with Videos

    Practise Session - 1
    Practise Session - 2

    Study other Related Concepts

    Practise problems on Mathematical reasoning Current Topic

    Logic Connectivity
    Truth Table
    Relation Between Set Notation and Truth Table
    Converse, Inverse, and Contrapositive
    Tautology And Contradiction
    Algebra of Statements
    Practise problems on Mathematical reasoning
    Syllogism

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