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      Question

      Find out the sum of digits of largest number that leaves

      same remainder when it divides 12006, 6006, 5506 and 10006.Β 
      A 5 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      To leave same remainder the difference between two dividends must be divisible by the divisor Taking difference of the numbers in descending order β‡’ 12006 – 11006 = 1000 β‡’ 11006 – 6006 = 5000 β‡’ 6006 – 5506 = 500 Each interval must be divisible by the divisor. β‡’ We need HCF of these numbers 1000, 5000 and 500 is 500 ∴ sum of digits = 5 + 0 + 0 = 5

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