SSC CHSL 2021 PYQ — Question 67

SSC CHSL - 6 Aug 2021 - Shift 3 • Quantitative Aptitude • Q67

Smplify the following expression. 323−576÷13×12323of113÷13\frac{3\frac{2}{3}-5\frac{7}{6}\div\frac{1}{3}\times1\frac{2}{3}}{\frac{2}{3}of1\frac{1}{3}\div\frac{1}{3}}

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. −10316-10\frac{3}{16}

Explanation:

According to the given question,

323−576÷13×12323of113÷13\frac{3\frac{2}{3}-5\frac{7}{6}\div\frac{1}{3}\times1\frac{2}{3}}{\frac{2}{3}of1\frac{1}{3}\div\frac{1}{3}}

⇒ 113−376÷13×5323of43÷13\frac{\frac{11}{3}-\frac{37}{6}\div\frac{1}{3}\times\frac{5}{3}}{\frac{2}{3}of\frac{4}{3}\div\frac{1}{3}}

⇒ 113−376÷13×5389÷13\frac{\frac{11}{3}-\frac{37}{6}\div\frac{1}{3}\times\frac{5}{3}}{\frac{8}{9}\div\frac{1}{3}}

⇒ 113−372×5383\frac{\frac{11}{3}-\frac{37}{2}\times\frac{5}{3}}{\frac{8}{3}}

⇒ 113−185683\frac{\frac{11}{3}-\frac{185}{6}}{\frac{8}{3}}

⇒ 113−185683\frac{\frac{11}{3}-\frac{185}{6}}{\frac{8}{3}}

⇒ −163683\frac{\frac{-163}{6}}{\frac{8}{3}}

⇒ −16316\frac{-163}{16}  = −10316-10\frac{3}{16}

Hence the required answer is −10316-10\frac{3}{16}.