What is the least value that must be assigned to A so that the number 456A2384 is divisible by 16?
0
Divisibility by 16 depends only on the number formed by the last four digits, which here is 2384 - the digit A does not appear among these last four digits.
2384 ÷ 16 = 149 exactly, so the number is divisible by 16 for every value of A.
The least possible digit value is A = 0.
Hence, the correct answer is 0.
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