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.
(c) Theproduct of three odd numbers is odd.
(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.
(i) Alleven numbers are composite numbers.
(j) Theproduct of two even numbers is always even.

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Solution

(a) False 3 + 5 + 7 = 15, i.e., odd
(b) True 3 + 5 + 6 = 14, i.e., even
(c) True 3Ã— 5 Ã— 7 = 105, i.e., odd
(d) False 4Ã· 2 = 2, i.e., even
(e) False 2is a prime number and it is also even
(f) False 1 and the number itself are factors of the number
(g) False 2 + 3 = 5, i.e., odd
(h) True
(i) False 2is a prime number
(j) True 2Ã— 4 = 8, i.e., even

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Similar questions

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.

2,

2

State true (T) of false (F):

$(i)$ The sum of primes cannot be a prime.

$(i i)$ The product of primes cannot be a prime.

$(i i i)$ An even number is composite.

$(i v)$ Two consecutive numbers cannot be both primes.

$(v)$ Odd numbers cannot be composite.

$(v i)$ Odd numbers cannot be written as sum of primes.

$(v i i)$ A number and its successor are always co-primes.

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