For the following three statements
p:2 is an even number
q:2 is a prime number.
r : Sum of two prime numbers is always even, then the symbolic statement $(p \land q) \to\sim r$ means

Easy

A

2 is an even and prime number and the sum of two prime numbers is always even
B

2 is an even and prime number and the sum of two prime numbers is not always even
C

2 is an even and prime number, then the sum of two prime numbers is not always even
D

2 is an even and prime number, then the sum of two prime numbers is always even

Solution

Given,
p:2 is an even number
q:2 is a prime number
r : sum of two prime numbers is always even.
The symbolic representation of given option (s) are
$\begin{array}{l} (a) : p \land q \land r \\ (b) : p \land q \land ~ r \\ (c) : p \land q \Rightarrow\sim r \\ (d) : p \land q \Rightarrow r \end{array}$

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