For the following three statementsp:2 is an even numberq:2 is a prime number.r : Sum of two prime numbers is always even, then the symbolic statement (p∧q)→∼r means

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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

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

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

answer is C.

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Detailed Solution

Given, p:2 is an even numberq:2 is a prime numberr : sum of two prime numbers is always even.The symbolic representation of given option (s) area:p∧q∧rb:p∧q∧~rc:p∧q⇒∼rd:p∧q⇒r

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