MCQ
Choose the correct alternative :
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 ∧ q) → ∼ r means.
Options
2 is an even and prime number and the sum of two prime numbers is always even.
2 is an even and prime number and the sum of two prime numbers is not always even.
If 2 is an even and prime number, then the sum of two prime numbers is not always even.
If 2 is an even and prime number, then the sum of two prime numbers is also even.
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Solution
If 2 is an even and prime number, then the sum of two prime numbers is not always even.
Concept: Mathematical Logic - Truth Value of Statement in Logic
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