కింద పేర్కొన్న ఏది \(0.\overline {56} \) సమానం? (బార్ పునరావృత్తమయ్యే దశాంశాన్ని చేస్తుంది)

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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ఇవ్వబడినవి:

\(0.\overline {56} \) = ?

లెక్కింపు:

 x = 0.56565656..... (i) అనుకుందాం 

100x = 56.565656.... (ii) 

సమీకరణ౦ (ii) - సమీకరణ౦ (i)

99x = 56

∴ x = 56/99

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