Question
A number 'N' when divided by 14 leaves 11 as remainder.
If 4N² is divided by 14, then find the remainder.Solution
ATQ, N = 14x + 11 So, 4N² = 4 X (14x + 11) ² = 4 X (196x² + 308x + 121) = 784x² + 1232x + 484 We can see that both 784 and 1232 are divisible by 14 So, required remainder will depend on 484 ÷ 14. 484 = 14 X 34 + 8 So, required remainder = 8 Hence, option d.
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