Question

(a) at a glance, determine the digit d so that 63,416,12d is divisible by 4. is there more than one answer?
(b) can you choose the digit d so that 63,416,12d is divisible by 8 and not 16?

(a) which of the following lists all of the possible values for the digit d?

a. the digit d can be 0, 2, 4, 6, or 8.
b. the digit d can be 2.
c. the digit d can be 0.
d. the digit d can be 6.
e. the digit d can be 8.
f. the digit d can be 0, 2, or 6.
g. the digit d can be 4.
h. the digit d can be 0, 4, or 8.
i. the digit d can be 2 or 6.
j. the digit d can be 4 or 8.

Explanation:

Apply divisibility rule for 4

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK0
$$

Match with the given options

Using the Divisibility Rules knowledge point

$$
LATEXBLOCK1
$$

Answer:

• A. The digit d can be 0, 2, 4, 6, or 8.
• B. The digit d can be 2.
• C. The digit d can be 0.
• D. The digit d can be 6.
• E. The digit d can be 8.
• F. The digit d can be 0, 2, or 6.
• G. The digit d can be 4.
• H. The digit d can be 0, 4, or 8. (Correct answer)
• I. The digit d can be 2 or 6.
• J. The digit d can be 4 or 8.