State whether the following statements are true or false:
a) The sum of two prime numbers is always even.
b) The sum of two odd numbers and one even number is even.
c) All even numbers are composite numbers.

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Solution

a) The given statement is False.
Sum of two prime numbers may also be odd number
Example: 2 + 7 = 9 which is an odd number.

b) The given statement is True.
The sum of two odd numbers and one even numbers is even.
Example: 1 + 9 + 4 = 14 i.e is even number.

c) The given statement is False.
Since, 2 is a even number but it is prime number.

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Similar questions

State whether the following statement is True or False.

The sum of any two odd numbers is always divisible by all even numbers.

State whether the following statements are True or False:

(a) The sum of three odd numbers is even.

(b) The sum of two odd numbers and one even number is even.

(d) If an even number is divided by 2, the quotient is always odd.

(e) All prime numbers are odd.

(f) Prime numbers do not have any factors.

(g) Sum of two prime numbers is always even.

(h) 2 is the only even prime number.

(i) All even numbers are composite numbers.

(j) The product of two even numbers is always even.

Statewhether the following statements are True or False:

(a) Thesum of three odd numbers is even.

(b) Thesum of two odd numbers and one even number is even.

(d) If aneven number is divided by 2, the quotient is always odd.

(e) Allprime numbers are odd.

(f) Primenumbers do not have any factors.

(g) Sum oftwo prime numbers is always even.

(h) 2 isthe only even prime number.

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(j) Theproduct of two even numbers is always even.

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