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Find the largest number which divides 62,132,237 to leave the same reminder.

  • A.30
  • B.32
  • C.35
  • D.45

Answer: C

When the remainder is the same but unknown, take the H.C.F. of the differences - the remainder cancels out of each.

\[ 132 - 62 = 70, \quad 237 - 132 = 105, \quad 237 - 62 = 175 \]

\[ \text{H.C.F.}(70, 105, 175) = 35 \]

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