Question : The value of $\left(\frac{1}{5}\right)+\left[1 \frac{1}{4}-\frac{1}{2}\right] \times\left(\frac{2}{5}\right)$ lies between:
Option 1: 2.1 and 2.4
Option 2: 0.2 and 0.6
Option 3: 1.5 and 1.8
Option 4: 0.8 and 1.2
Correct Answer: 0.2 and 0.6
Solution :
Given: $\left(\frac{1}{5}\right)+\left[1 \frac{1}{4}-\frac{1}{2}\right] \times\left(\frac{2}{5}\right)$
= $\frac{1}{5}+[\frac{5}{4}-\frac{1}{2}]×\frac{2}{5}$
= $\frac{1}{5}+\frac{3}{4}×\frac{2}{5}$
= $\frac{1}{5}+\frac{3}{10}$
= $\frac{5}{10}$
= $\frac{1}{2}$
= 0.5, which lies between 0.2 and 0.6.
Hence, the correct answer is 0.2 and 0.6.
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