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SSC CGL 2025 PYQ — Question 73

SSC CGL - 12 Sep 2025 - Shift 2 • Quantitative Aptitude • Q73

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Evaluate the continued fraction: x=3+12+13+12x=3+\frac{1}{2+\frac{1}{3+\frac{1}{2}}}

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 5516\frac{55}{16}.

x=3+12+13+12x=3+\frac{1}{2+\frac{1}{3+\frac{1}{2}}}

=3+12+172=3+\frac{1}{2+\frac{1}{\frac{7}{2}}}

=3+12+27=3+\frac{1}{2+\frac{2}{7}}

=3+1167=3+\frac{1}{\frac{16}{7}}

= 3 + 7/16

= 55/16