SSC GD 2024 PYQ — Question 42

The correct answer is option 4 i.e. $\frac{423}{990}$.

Given decimal form x = $0.4\overline{27}$

⇒ x = 0.4272727...      (i)

Multiply equation (i) by 10

⇒ 10x = 4.2727....    (ii)

Multiply equation (i) by 1000,

⇒ 1000x = 427.2727...   (iii)

Subtracting equation (i) from equation (ii),

⇒ 990x = 423

⇒ x = $\frac{423}{990}$

Hence the required answer is $\frac{423}{990}$.