SSC GD 2024 PYQ — Question 53

The correct answer is Option 3 i.e. ${{1 \over 35}}$.

Let the fraction be ${x \over y}$

Now,

⇒ ${{x \over y} \over {1\over 64}} = {{4 \over 7} \over {5\over 16}}$

⇒ ${{x \over y} \times {64\over 1}} = {{4 \over 7} \times {16\over 5}}$

⇒ ${{x \over y} \times {64\over 1}} = {{64 \over 35}}$

⇒ ${x \over y} = {{1 \over 35}}$

Hence, the fraction is ${{1 \over 35}}$