Question

$p:$ Every square is a rectangle.
$q:$ Every rhombus is a kite.

The truth values of $p\to q$ and $p\leftrightarrow q$ are ............ and .................. respectively.

• A. F,F
• B. T,F
• C. F,T
• D. T,T

Answer 1

The correct option is D T,T

Given :

$p:$ Every square is a rectangle.
$q:$ Every rhombus is a kite.

We know that, every square is a rectangle because parallel sides are equal and all angles are right angle.

$\therefore p$ is true i.e. $T$

Also, every rhombus is a kite.

$\therefore q$ is true i.e. $T$

$T\to T$ is true

$\therefore p\to q$ is $T$

Also, we know $T\leftrightarrow T$ is true.

$\therefore p\leftrightarrow q$ is true.

Hence, truth values of $p\to q$ and $p\leftrightarrow q$ is $T,T$.