Observe the following sequence and choose the correct alternative in place of "?":

\(\rm \frac{2}{3}, \frac{4}{7}, ?, \frac{11}{21}, \frac{16}{31}\)

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TSPSC VRO 2018 Official Paper
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  1. \(\frac{5}{9}\)
  2. \(\frac{6}{11}\)
  3. \(\frac{7}{13}\)
  4. \(\frac{9}{17}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{7}{13}\)
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Detailed Solution

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The logic followed here is,

\(\rm \frac{2}{3}, \frac{4}{7}, ?, \frac{11}{21}, \frac{16}{31}\)

Numerator 

qImage67e0f815e3553c6da1d1b1f9

Denumerator 

qImage67e0f816e3553c6da1d1b207

So, the missing number is \(\frac{7}{13}\)

Hence the correct answer is "Option 3"

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