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

This question was previously asked in
NTPC CBT 2 2016 Previous Paper 1 (Held On: 17 Jan 2017 Shift 1)
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  1. 56/100
  2. 56/1000
  3. 56/99
  4. 56/90

Answer (Detailed Solution Below)

Option 3 : 56/99
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Detailed Solution

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Given:

\(0.\overline {56} \) = ?

Calculations:

Let x = 0.56565656..... (i)

100x = 56.565656.... (ii)

Equation (ii) - Equation (i)

99x = 56

∴ x = 56/99

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