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Railways PYQCBT 2 2017

RRB NTPC · Question 73

Correct expression of \(1.4\overline{13}\). (the bar indicates repeating decimal)

  1. \(\frac{1427}{1000}\)

  2. 1399/990

  3. \(\frac{1427}{10000}\)

  4. \(\frac{157}{111}\)

Show answer & explanation

Answer: (B) 1399/990

Explanation

Let x = 1.41313…. Then 1000x = 1413.1313… and 10x = 14.1313…. Subtracting, 990x = 1399, so x = 1399/990.