Question

14. State whether the following statements are true (T) or false (F):
(1) If a number is divisible by 4, it must be divisible by 8.
(ii) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(io) If a number is divisible by 9 and 10 both, it must be divisible by 90.
() If a number divides two numbers separately, then it must divide their sum
(ul) If a number divides the sum of two numbers, then it must divide the two
numbers separately.
(vii) If a number is divisible by 3 and 8 both, it must be divisible by 12.
(viii) If a number is divisible by 6 and 15 both, it must be divisible by 90.​

Answer 1

Answer:

See below

Step-by-step explanation:

(1) If a number is divisible by 4, it must be divisible by 8. - (F)

(ii) If a number is divisible by 3, it must be divisible by 9. - (F)

(ii) If a number is divisible by 9, it must be divisible by 3.  - (T)

(io) If a number is divisible by 9 and 10 both, it must be divisible by 90.  -(T)

() If a number divides two numbers separately, then it must divide their sum  -(F)

(ul) If a number divides the sum of two numbers, then it must divide the two

numbers separately.  -(F)

(vii) If a number is divisible by 3 and 8 both, it must be divisible by 12.  - (T)

(viii) If a number is divisible by 6 and 15 both, it must be divisible by 90.​ -(T)