SSC CPO 2023 PYQ — Question 123

SSC CPO - 04 Oct 2023 - Shift 1 • Quantitative Aptitude • Q123

Simplify: 513−{413+(313÷213−‾13)}5\frac{1}{3}-\{4\frac{1}{3}+(3\frac{1}{3}\div2\frac{1}{3}\overline-\frac{1}{3})\}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. −23-\frac{2}{3}

Given that

 Simplify: 513−{413+(313÷213−‾13)}5\frac{1}{3}-\{4\frac{1}{3}+(3\frac{1}{3}\div2\frac{1}{3}\overline-\frac{1}{3})\}

⇒ 163−{133+(103÷73−‾13)}\frac{16}{3}-\{\frac{13}{3}+(\frac{10}{3}\div\frac{7}{3}\overline-\frac{1}{3})\}

⇒ 163−{133+103÷63}\frac{16}{3}-\{\frac{13}{3}+\frac{10}{3}\div\frac{6}{3}\}

⇒ 163−{133+103×12}\frac{16}{3}-\{\frac{13}{3}+\frac{10}{3}\times\frac{1}{2}\}

⇒ 163−{133+53}\frac{16}{3}-\{\frac{13}{3}+\frac{5}{3}\}

⇒ 163−183\frac{16}{3}-\frac{18}{3}

⇒ −23-\frac{2}{3}