remainder problem....

What is the remainder when 256+3.911+14 is divided by 41?

2 Answers

262
Aditya Bhutra ·

256 = 2.(32)11 = 2(41-9)11 ≡ -2.911 (mod 41)

256 +3.911 +14 = 911 +14 (mod 41)

911 = 9.(81)5 = 9.(82-1)5 ≡ -9 (mod 41)

256 +3.911 +14 = -9 +14 (mod 41) =5

71
Vivek @ Born this Way ·

Congruent Modulo is the best way to solve these.

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