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For the following three statements p :...

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) rArr ~ r` means

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

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

D

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

Text Solution

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The correct Answer is:
C
Given, p : 2 is an even number, q : 2 is a prime number and r : sum of two prime numbers is always even. The symbolic representation of given options are
(a) `p ^^ q ^^ r`
(b) `p ^^ q ^^ ~ r`
(c ) `p ^^ q rArr ~ r`
(d) `p ^^ q rArr r`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -MHT CET CORNER
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