Question
Find the remainder when the number (289n + 133) is divided
by 17.Solution
289n + 133 = (17 X 17n) + (17 X 7) + 14 = 17 X (17n + 11) + 14
Since, 17 X (17n + 7) is completely divisible by 17
So, the remainder will be 14.
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