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

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 $\pi r^2$(False), so $C$ is FALSE.
$\therefore B\text{and}C$ have truth value as FALSE