Question

Which among the following statements have truth value as FALSE
$A)13$ is odd number and prime number.
$B)23$ is even number and prime number.
$C)$ Volume of sphere is $\frac{4}{3}\pi r^3$ cubic units and surface area is $\pi r^2$ sq. units.

• A. $B$ and $C$
• B. $A,B$ and $C$
• C. $A$ and $C$
• D. $A$ and $B$

Answer 1

The correct option is A $B$ and $C$

Since all the given statements are conjunction. So, if either of the simple statement is false, then compound statment will be false.
$A)13$ is odd and prime number.
Here, both sub statements are true.
So, compount statement will be TRUE.

$B)23$ is even and prime number.
Here, '$23$ is even' is False,
So, $B$ is FALSE.

$C)$ Volume of sphere is $\frac{4}{3}\pi r^3$ and surface area is $\pi r^2.$
Here, 'surface area of spehere is $\pi r^2$' is False.
So, $C$ is FALSE.
$\therefore B$ and $C$ have truth value as FALSE.