SarkariPYQ

SSC CGL 2025 PYQ — Question 51

SSC CGL - 18 Sep 2025 - Shift 1 • Quantitative Aptitude • Q51

Back to paper

Simplify :((0.5)3+(0.05)3+(0.005)3)÷((0.1)3+(0.01)3+(0.001)3)((0.5)^3 +(0.05)^3 +(0.005)^3) \div ((0.1)^3 +(0.01)^3 +(0.001)^3)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 125.

((0.5)3+(0.05)3+(0.005)3)÷((0.1)3+(0.01)3+(0.001)3)((0.5)^3 +(0.05)^3 +(0.005)^3) \div ((0.1)^3 +(0.01)^3 +(0.001)^3)

=(0.5)3+(0.05)3+(0.005)3(0.1)3+(0.01)3+(0.001)3=\frac{(0.5)^3 +(0.05)^3 +(0.005)^3}{(0.1)^3 +(0.01)^3 +(0.001)^3}

=53[(0.1)3+(0.01)3+(0.001)3][(0.1)3+(0.01)3+(0.001)3]=\frac{5^3[(0.1)^3 +(0.01)^3 +(0.001)^3]}{[(0.1)^3 +(0.01)^3 +(0.001)^3]}

= 53

= 125