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SSC CGL 2023 PYQ — Question 18

SSC CGL Tier II - 3 March 2023 - Shift 1 • Quantitative Aptitude • Q18

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√20 - √20 - √20 - √20 – ….. ∞ Find the value of the given expression.

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4

Given that

√20 - √20 - √20 - √20 – ….. ∞

Let x = √20 - √20 - √20 - √20 – ….. ∞

⇒ x = √(20 - x)

⇒ x2 = 20 - x

⇒ x2 + x - 20 = 0

⇒ x = -5, 4

Hence. 4 is the required answer.