Question
Find the remainder when (2100 +
3100) is divided by 5.Solution
ATQ, Modulo 5 cycles are of length 4. 24 ≡ 1 (mod 5) ⇒ 2100 = (24)25 ≡ 125 ≡ 1 34 ≡ 1 (mod 5) ⇒ 3100 = (34)25 ≡ 1 Sum ≡ 1+1 = 2 (mod 5)
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