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SSC GD 2024 PYQ — Question 45

SSC GD Const (English) - 22 Feb 2024 - Shift 3 • Quantitative Aptitude • Q45

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If 4T = 5U, then what is the value of (T+U)/T?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 9/5.
According to the question: 

From ( 4T = 5U ), solve for ( U ):

⇒ U = 4T5\frac{4T}{5}

⇒ T+UT=T+4T5T\frac{T+U}{T} = \frac{T + \frac{4T}{5}}{T}

⇒ T+4T5=5T5+4T5=9T5T + \frac{4T}{5} = \frac{5T}{5} + \frac{4T}{5} = \frac{9T}{5}

⇒ T+UT=9T5T\frac{T+U}{T} = \frac{\frac{9T}{5}}{T}

⇒ 9T5T=9T5T=95\frac{\frac{9T}{5}}{T} = \frac{9T}{5T} = \frac{9}{5}