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SSC CGL 2023 PYQ — Question 60

SSC CGL - 25 July 2023 - Shift 1 • Quantitative Aptitude • Q60

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What value of 'y' will satisfy the following equation?

3y1+11+y1−y=2\frac{3y}{1 + \frac{1}{1 + \frac{y}{1 - y}}} = 2

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 45\frac{4}{5}.

Given, 3y1+11+y1−y=2\frac{3y}{1 + \frac{1}{1 + \frac{y}{1 - y}}} = 2

⇒ 3y1+11−y+y1−y=2\frac{3y}{1 + \frac{1}{\frac{1-y + y}{1 -y}}}= 2

⇒ 3y1+1−y=2\frac{3y}{1 + 1 - y}= 2

⇒ 3y = 4 - 2y

⇒ 5y = 4

⇒ y = 4/5