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 twonumbers 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.

14. State whether the following statements are true (T) or false (F):

1.	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 twonumbers 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» SEE belowStep-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)