Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. Option 1: Option 2: 3.2Option 3: Option 4: 3

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Question :
Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
$\frac{3}{5}, 1.4, \frac{11}{5}, ?, \frac{19}{5}, 4.6$
Option 1: $\frac{14}{5}$
Option 2: 3.2
Option 3: $\frac{16}{5}$
Option 4: 3

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Correct Answer: 3

Solution : Given:
$\frac{3}{5}, 1.4, \frac{11}{5}, ?, \frac{19}{5}, 4.6$

First, convert all the decimal values into fractions –
$\frac{3}{5}, 1.4 = \frac{7}{5}, \frac{11}{5}, ?, \frac{19}{5}, 4.6 = \frac{23}{5}$
Let's apply the pattern –
$\frac{3}{5}+\frac{4}{5}=\frac{7}{5} \frac{7}{5}+\frac{4}{5}=\frac{11}{5} \frac{11}{5}+\frac{4}{5}=\frac{15}{5} = 3 \frac{15}{5}+\frac{4}{5}=\frac{19}{5} \frac{19}{5}+\frac{4}{5}=\frac{23}{5}$

The missing number is 3. Hence, the fourth option is correct.

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