Allied & ICAR Exam Bank • ALLIED_2176 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The value of $\sqrt{20 + \sqrt{20 + \sqrt{20 + \dots}}}$ is:

Answer Key:

5

Step-by-Step Solution & Explanation

Let $y = \sqrt{20 + y} \implies y^2 - y - 20 = 0 \implies (y - 5)(y + 4) = 0$. Since $y > 0$, $y = 5$.
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