SSC CPO 2023 PYQ — Question 142

SSC CPO - 3 Oct 2023 - Shift 1 • Quantitative Aptitude • Q142

Evaluate 0.040.05\frac{0.04}{0.05} of (313−212)÷12of11413+15of19\frac{(3\frac{1}{3}-2\frac{1}{2})÷\frac{1}{2}of1\frac{1}{4}}{\frac{1}{3}+\frac{1}{5} of \frac{1}{9}}

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e 3.

0.040.05\frac{0.04}{0.05} of (313−212)÷12of11413+15of19\frac{(3\frac{1}{3}-2\frac{1}{2})÷\frac{1}{2}of1\frac{1}{4}}{\frac{1}{3}+\frac{1}{5} of \frac{1}{9}}

⇒ 0.040.05\frac{0.04}{0.05} of (103−52)÷12of5413+145\frac{(\frac{10}{3}-\frac{5}{2})÷\frac{1}{2}of\frac{5}{4}}{\frac{1}{3}+\frac{1}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of (103−52)÷5813+145\frac{(\frac{10}{3}-\frac{5}{2})÷\frac{5}{8}}{\frac{1}{3}+\frac{1}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of (103−52)÷581×153×15+145\frac{(\frac{10}{3}-\frac{5}{2})÷\frac{5}{8}}{\frac{1\times15}{3\times15}+\frac{1}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of (206−156)÷581545+145\frac{(\frac{20}{6}-\frac{15}{6})÷\frac{5}{8}}{\frac{15}{45}+\frac{1}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of (56)×851645\frac{(\frac{5}{6})\times\frac{8}{5}}{\frac{16}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of 861645\frac{\frac{8}{6}}{\frac{16}{45}}

⇒ 0.040.05\frac{0.04}{0.05} of 86×4516{\frac{8}{6}}\times{\frac{45}{16}}

⇒ 0.040.05\frac{0.04}{0.05} of 4512{\frac{45}{12}}

⇒ 0.040.05\frac{0.04}{0.05} × 4512{\frac{45}{12}} 

⇒ 45×4512\frac{4}{5} \times \frac{45}{12}

⇒ 93=3\frac{9}{3 } = 3