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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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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orthodoxparadox
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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
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
