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# 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) - Mathematics and Statistics

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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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.05 | Page 29
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