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      Question

      Find the least number of four digits which is exactly

      divisible by 6, 8 and 16?
      A 1100 Correct Answer Incorrect Answer
      B 1008 Correct Answer Incorrect Answer
      C 1080 Correct Answer Incorrect Answer
      D 1800 Correct Answer Incorrect Answer

      Solution

      Least four digit number = 1000 So when 1000 is divided by LCM of 6,8 & 16 (i.e.48) , remainder is 40. So when gap of divisor & remainder is added to 1000, it will be completely divided by 48 & answer will be = 1000 +(48-40)= 1000+8 = 1008.

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