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The number 58129745812974 is divided by a certain number. The quotient is 5812974 and the remainder is 0. The divisor is:

  • A.10
  • B.11
  • C.101
  • D.10000001

Answer: D

The dividend is a number formed by repeating the block '5812974' twice. Let X = 5812974. The dividend is \(X \times 10^7 + X = X(10^7 + 1)\). The quotient is X and the remainder is 0. According to the division algorithm, Dividend = Divisor × Quotient + Remainder. So, \(X(10^7+1) = Divisor \times X + 0\). Dividing by X, we get Divisor = \(10^7 + 1 = 10000001\).

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