The remainder obtained when 27 40 is divided by 12 is

Question

The remainder obtained when 27 40 is divided by 12 is,

MARKS App · Accepted Answer

27 40 = 3 3 40 = 3 120 3 119 = 4 - 1 119 = C 0 119 4 119 - C 1 119 4 118 + C 2 119 4 117 - . … … . + C 118 119 4 - C 119 119 = 4 k - 1 ⇒ 3 120 = 3 4 k - 1 = 12 k - 3 = 12 k - 1 + 9 So, the required remainder is 9 .

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