SSC CPO 2024 PYQ — Question 103

SSC CPO - 28 June 2024 - Shift 1 • Quantitative Aptitude • Q103

The value of 514−[312−5\frac{1}{4} - [3\frac{1}{2} -  { 56−(35\frac{5}{6} - (\frac{3}{5}  × 110÷415)\frac{1}{10} ÷ \frac{4}{15} ) }] is :

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  2431202\frac{43}{120}

⇒  514−[312−5\frac{1}{4} - [3\frac{1}{2} -  { 56−(35\frac{5}{6} - (\frac{3}{5}  × 110÷415)\frac{1}{10} ÷ \frac{4}{15} ) }] 

By applying BODMAS rule:-

⇒ 214\frac{21}{4}  - [72\frac{7}{2} - { 56−(35\frac{5}{6} - (\frac{3}{5}  × 110÷415)\frac{1}{10} ÷ \frac{4}{15} ) }] 

⇒  214\frac{21}{4}  - [72\frac{7}{2} - { 56\frac{5}{6} -  940\frac{9}{40}}]

⇒  214\frac{21}{4}  - [72\frac{7}{2} - 73120\frac{73}{120}]

⇒  214\frac{21}{4}  - 347120\frac{347}{120}

⇒ 283120\frac{283}{120}

⇒ 2431202\frac{43}{120}