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Railways PYQCBT 2 2017

RRB NTPC · Question 92

Correct expression of \(0.06\overline {54}\). (the bar indicates repeating decimal)

  1. \(\frac{18}{275}\)

  2. \(\frac{18}{277}\)

  3. \(\frac{654}{100}\)

  4. \(\frac{654}{1000}\)

Show answer & explanation

Answer: (A) \(\frac{18}{275}\)

Explanation

Let x = 0.065454…. Then 10000x = 654.5454… and 100x = 6.5454…. Subtracting, 9900x = 648, so x = 648/9900 = 18/275.