State whether the following statements are true or false: (a) The sum of three odd numbers is even.

(a) False 

(b) True 

(c) True 

(d) False 

(e) False 

(f) False

(g) False 

(h) True 

(i) False 

(j) True

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

3 + 5 + 7 = 15. i,e. odd

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

3 + 5 + 6 = 14 i,e = even

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

3 × 5 × 7 = 105 i.e, odd.

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

4 ÷ 2 = 2 i.e, even

(e) All prime numbers are odd.False; 

2 is even number.

(f) Prime numbers do not have any factors. False; 

1 and the numbers itself are factors of the number.

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

2 + 3 = 5 i,e odd

h) 2 is the only even prime number.True

(i) All even numbers are composite numbers. False, 

2 is a prime numbers.

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

2 × 4 = 8, i.e even