Q. 24.5( 34 Votes )

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.

(c) The product of three odd numbers is odd.

(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.

Answer :

(a) False.


For example- 1+3+5 = 9, this is an odd number.


(b) True.


Example- 1+3+4 = 8, this is an even number.


(c) True.


Example- 1 × 3 × 5 = 15, it is an odd number.


(d) False.


If an even number is divided by 2, the quotient is not always odd it can be even also.


For example-


8÷2 = 4, it is an even number.


(e) False.


All prime numbers are not odd, 2 is a prime number and it is an even number.


(f) False.


Prime numbers do have factors like 1 and the numbers itself are the factors of the numbers.


(g) False.


Sum of two prime numbers is not always even.


Example- 2+3 = 5 it is an odd number.


(h) True.


2 is the only even prime number.


(i) False.


All even numbers are not composite numbers, 2 is the prime number.


(j) True.


The product of two even numbers is always even.


Example- 4 × 6 = 24, it is an even number.


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