Which digits should come in place of * and # if the number 4675*2# is divisible by both 5 & 8?
(A)
4, 0
(B)
4, 5
(C)
1, 0
(D)
8, 0
Answer: (C)
Explanation:
Since the given number is divisible by 5, 0 or 5 must come in place of $. But a number ending with 5 is never divisible with 8 because a divisible number must be even. Therefore 0 will replace $. If the number is divisible by 8, the number formed by last three digits must be divisible by 8. The number *20 must be divisible by 8. Among all 4 options, only placing 1 in place of * makes it divisible by 8.
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