SSC CPO 2024 PYQ — Question 122

SSC CPO - 28 June 2024 - Shift 1 • Quantitative Aptitude • Q122

The value of 1−11+12−12+131 - \frac{1}{1 + \frac{1}{2 - \frac{1}{2 + \frac{1}{3}}}} is :

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 718\frac{7}{18}. 

1−11+12−12+131 - \frac{1}{1 + \frac{1}{2 - \frac{1}{2 + \frac{1}{3}}}}

= 1−11+12−371 - \frac{1}{1 + \frac{1}{2 - \frac{3}{7 }}}

= 1−11+7111 - \frac{1}{1 + \frac{7}{11}}

= 1−11181 - \frac{11}{18}

= 718\frac{7}{18}