Question
A number 'N' when divided by 14 leaves 7 as remainder.
If 5N² is divided by 14, then find the remainder.Solution
ATQ, N = 14x + 7 So, 5N² = 5 X (14x + 7) ² = 5 X (196x² + 196x + 49) = 980x² + 980x + 245 We can see that both 980 and 980 are divisible by 14 So, required remainder will depend on 245 ÷ 14. 245 = 14 X 17 + 7 So, required remainder = 7 Hence, option a.
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