Question
A number 'N' when divided by 14 leaves 6 as remainder.
If 9N2 is divided by 14, then find the remainder.Solution
ATQ, N = 14x + 6 So, 9N2 = 9 X (14x + 6)2 = 9 X (196x² + 168x + 36) = 1764x² + 1512x + 324 We can see that both 1764 and 1512 are divisible by 14 So, required remainder will depend on 324 ÷ 14. 324 = 14 X 23 + 2 So, required remainder = 2 Hence, option a.
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