SSC GD 2021 PYQ — Question 61

SSC GD Constable (English) - 2nd December 2021 Shift 3 • Quantitative Aptitude • Q61

The value of  219÷[356−23×(612−213)]2\frac{1}{9}\div[3\frac{5}{6}-\frac{2}{3}\times(6\frac{1}{2}-2\frac{1}{3})] is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2.

Concept used:

BODMAS rule

Calculations:

⇒ 219÷[356−23×(612−213)]2\frac{1}{9}\div[3\frac{5}{6}-\frac{2}{3}\times(6\frac{1}{2}-2\frac{1}{3})]

⇒ 199÷[236−23×(132−73)]\frac{19}{9}\div[\frac{23}{6}-\frac{2}{3}\times(\frac{13}{2}-\frac{7}{3})]

⇒ 199÷[236−23×(39−146)]\frac{19}{9}\div[\frac{23}{6}-\frac{2}{3}\times(\frac{39 - 14}{6})]

⇒ 199÷[236−23×(256)]\frac{19}{9}\div[\frac{23}{6}-\frac{2}{3}\times(\frac{25}{6})]

⇒ 199÷[236−259]\frac{19}{9}\div[\frac{23}{6}-\frac{25}{9}]

⇒ 199÷1918\frac{19}{9}\div \frac{19}{18}

⇒ 2