Consider the following statement: "If a number is divisible by 24, then it is divisible by 4 and by 6."
(a) (1 point) Is this statement true or false? (b) (2 points) Write the converse of the above statement. Is this new statement true or false? (c) (2 points) Based on your answers to (a) and (b), is the statement "A number is divisible by 24 if and only if it is divisible by 4 and by 6" true or false? Why?