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SSC CHSL 2025 PYQ — Question 64

SSC CHSL - 12 Nov 2025 - Shift 2 • Quantitative Aptitude • Q64

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Find the value of 12+12+12+⋯\sqrt{12 + \sqrt{12 + \sqrt{12 + \cdots}}}.

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Correct answer: B

Explanation

12+12+12+⋯\sqrt{12 + \sqrt{12 + \sqrt{12 + \cdots}}}
Let x = √(12 + x)
x = √(12 + x)
x² = 12 + x
x² − x − 12 = 0
x² − 4x + 3x − 12 = 0
(x − 4)(x + 3) = 0
x = 4 or −3
x = 4

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