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Railways PYQCBT 2 2017

RRB NTPC · Question 2

Which of the following is equivalent to \(0.\overline {56} \)? (the bar indicates repeating decimal)

  1. 56/100

  2. 56/1000

  3. 56/99

  4. 56/90

Show answer & explanation

Answer: (C) 56/99

Explanation

Let x = 0.5656…. Then 100x = 56.5656…, so 100x − x = 56 and x = 56/99. A two-digit repeating block always goes over 99.