\(4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}\) का मान क्या है?

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Agniveer Vayu Other than Science (Group Y) 20 Jan 2023 Memory-Based Paper
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  1. \(\frac{31}{40}\)
  2. \(\frac{1}{8}\)
  3. \(\frac{40}{9}\)
  4. \(\frac{40}{31}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{1}{8}\)
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गणना:

\(4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}\)

\(⇒ 4-\frac{5}{1+\frac{1}{3+\frac{4}{9}}}\)

\(⇒ 4-\frac{5}{1+\frac{9}{31}}\)

\(⇒ 4-\frac{5\times 31}{40} = 4-\frac{31}{8}\)

\(\frac{32-31}{40}=\frac{1}{8}\)

सही उत्तर \(\frac{1}{8}\) है

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