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      Question

      A number 'N' when divided by 14 leaves 5 as remainder.

      If 3N2 is divided by 14, then find the remainder.┬а
      A 3 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      ATQ, N = 14x + 5 So, 3N2 = 3 X (14x + 5)2 = 3 X (196x┬▓ + 140x + 25) = 588x┬▓ + 420x + 75 We can see that both 588 and 420 are divisible by 14 So, required remainder will depend on 75 ├╖ 14. 75 = 14 X 5 + 5 So, required remainder = 5 Hence, option b.

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