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The greatest number that divides 43, 91 and 183 leaving the same remainder in each case is:

  • A.7
  • B.9
  • C.13
  • D.4

Answer: D

When a divisor leaves the same remainder, it divides the differences exactly. The differences are \(91 - 43 = 48\), \(183 - 91 = 92\) and \(183 - 43 = 140\). The highest common factor of 48, 92 and 140 is 4. Check: each of 43, 91 and 183 leaves remainder 3 on division by 4.

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