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The least number which when divided by 6, 7 and 8 leaves remainder 3 in each case is:

  • A.147
  • B.171
  • C.165
  • D.339

Answer: B

A number leaving the same remainder with each divisor is the lowest common multiple plus that remainder. The LCM of 6, 7 and 8 is 168, so the number is \(168 + 3 = 171\). Check: 171 divided by 6, 7 and 8 leaves 3 each time.

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