State whether the following statements are True or False:
(a) The sum of three odd numbers is even.
This is false. We can demonstrate this with the help of one example. 5 + 3 + 5 = 13, 13 is an odd number.
(b) The sum of two odd numbers and one even number is even.
This is true. We know that sum of two odd numbers is always even. Adding one more even number will keep the result an even number.
(c) The product of three odd numbers is odd.
True. Try to write different examples like
.
(d) If an even number is divided by 2, the quotient is always odd.
This is false. Example,
and 50 is an even number.
(e) All prime numbers are odd.
False. 2 is the only prime number which is even.
(f) Prime numbers do not have any factors.
False. Factors of given prime number is 1 and number itself. Example, factors of prime number 23 are 1 and 23.
(g) Sum of two prime numbers is always even.
False. 2 and 3 are both prime numbers. Sum of 2 and 3 is 5 which is odd.
(h) 2 is the only even prime number.
True.
(i) All even numbers are composite numbers.
False. 2 is not a composite number and it is even.
(j) The product of two even numbers is always even.
True. Try to write different examples like
Divisha parashar says
Nice , Good job