Question
A number gives a remainder 34 when divided by 391. What
remainder will it leave when divided by 17?Solution
ATQ,
N ≡ 34 (mod391) 391 ≡ 0 (mod17) N ≡ 34 (mod17) = 34 ÷ 17 = 2 ⇒ 34 ≡ 0 (mod17)
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