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Question

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:


  1. 1683

  2. 2000

  3. 2273

  4. 1783

  5. 1777


Solution

The correct option is A

1683


LCM of 5, 6, 7 and 8 is 840. So, our number is of the form 840k + 3. The lowest value of K for which 840k + 3 is divisible by 9 is k = 2.

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