Question

Any number divisible by 3 is divisible by 6.

A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15

Answer 1

c. False, counterexample of 15

Explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

Answer 2

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'