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When positive integer \(n\) is divided by 13, the remainder is 2. When \(n\) is divided by 8, the remainder is 5. How

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When positive integer \(n\) is divided by 13, the remainder is 2. When \(n\) is divided by 8, the remainder is 5. How

by M7MBA » Sat May 30, 2020 4:15 pm

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When positive integer \(n\) is divided by 13, the remainder is 2. When \(n\) is divided by 8, the remainder is 5. How many such values are less than 180?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

[spoiler]OA=B[/spoiler]

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Re: When positive integer \(n\) is divided by 13, the remainder is 2. When \(n\) is divided by 8, the remainder is 5. Ho

by orthodoxparadox » Sat May 30, 2020 11:11 pm
Since there are not many values that give remainder 2 with 13 under 180, we can evaluate them individually.

15 -> 7
28 -> 4
41 -> 1
54 -> 6
67 -> 3
80 -> 0
93 -> 5
106 -> 2
119 -> 7
132 -> 4
145 -> 1
158 -> 6
171 -> 3

Hence there is only 1 value (93) B
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