Question
A number 'N' when divided by 14 leaves 9 as remainder.
If 2N² is divided by 14, then find the remainder.Solution
ATQ, N = 14x + 9 So, 2N² = 2 X (14x + 9)² = 2 X (196x² + 252x + 81) = 392x² + 504x + 162 We can see that both 392 and 504 are divisible by 14 So, required remainder will depend on 162 ÷ 14. 162 = 14 X 11 + 8 So, required remainder = 8 Hence, option b.
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