SSC CPO 2024 PYQ — Question 134

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q134

The value of  1+11+15+12+131 + \frac{1}{1 + \frac{1}{5 + \frac{1}{2 + \frac{1}{3}}}}  is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 138451 {{38} \over 45}

Given that

1+11+15+12+131 + \frac{1}{1 + \frac{1}{5 + \frac{1}{2 + \frac{1}{3}}}}

⇒ 1+11+15+371 + \frac{1}{1 + \frac{1}{5 + \frac{3}{7}}}

⇒ 1+11+7381 + \frac{1}{1 + \frac{7}{38}}

⇒ 1+38451 + \frac{38}{45}

⇒ 138451 {{38} \over 45}