MCQ
“If $p$ then $q”$ is true when $.............$
  • A
    $p \Rightarrow q$
  • B
    $q \Rightarrow p$
  • C
    $p \Rightarrow$ not $q$
  • both $p \Rightarrow q$ and $q \Rightarrow p$

Answer

Correct option: D.
both $p \Rightarrow q$ and $q \Rightarrow p$
If $p$ then $q$ statement will be true.
If $p$ is true then $q$ must be true and if $q$ is true then $p$ must be true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

For $0<\mathrm{c}<\mathrm{b}<\mathrm{a}$, let $(\mathrm{a}+\mathrm{b}-2 \mathrm{c}) \mathrm{x}^2+(\mathrm{b}+\mathrm{c}-2 \mathrm{a}) \mathrm{x}$ $+(c+a-2 b)=0$ and $\alpha \neq 1$ be one of its root. Then, among the two statements

$(I)$ If $\alpha \in(-1,0)$, then $\mathrm{b}$ cannot be the geometric mean of $\mathrm{a}$ and $\mathrm{c}$

$(II)$ If $\alpha \in(0,1)$, then $\mathrm{b}$ may be the geometric mean of $a$ and $c$

If for complex numbers ${z_1}$ and ${z_2}$, $arg({z_1}/{z_2}) = 0,$ then $|{z_1} - {z_2}|$ is equal to
$\mathop {\lim }\limits_{x \to 0} \frac{{x + 2\,\sin \,x}}{{\sqrt {{x^2} + 2\sin \,x + 1}  - \sqrt {{{\sin }^2}\,x - x + 1} }}$ is
If $2\tan A = 3\tan B,$ then $\frac{{\sin 2B}}{{5 - \cos 2B}}$ is equal to
Seven different lecturers are to deliver lectures in seven periods of a class on a particular day. $A B,$ and $C$ are three of the lecturers.The umber of ways in which a routine for the day can be made such that $A$ delivers his lecture before $B$ and $B$ before $C,$ is:
The complex numbers ${z_1},{z_2}$ and ${z_3}$ satisfying $\frac{{{z_1} - {z_3}}}{{{z_2} - {z_3}}} = $ $\frac{{1 - i\sqrt 3 }}{2}$ are the vertices of a triangle which is
If $x,y,z$ are in $A.P. $ and ${\tan ^{ - 1}}x,{\tan ^{ - 1}}y$ and ${\tan ^{ - 1}}z$ are also in $A.P.$, then
According to De Moivre’s theorem what is the value of $\text{z}^\frac{1}{\text{n}}$
The domain of the function $\text{f(x)}=\sqrt{\frac{(\text{x}+1)(\text{x}-3)}{\text{x}-2}}$ is:
In how many ways can $21$ English and  $19$ Hindi books be placed in a row so that no two Hindi books are together