Ratio, Proportion

Quantitative Aptitude (CGL)

Title

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Indian Economy - Understanding the basics of Indian economic system

If 405 : y : : y : 125, and y > 0, then find the value of y.

This questions was previously asked in

ssc cgl 2023 pre

225

205

215

235

- You're given a proportion equation: 405 : y = y : 125.

- This translates mathematically to \(\frac{405}{y} = \frac{y}{125}\).

- By cross-multiplying, we get \(405 \times 125 = y \times y\).

- Simplify it to \(405 \times 125 = y^2\).

- Calculate the left side: \(405 \times 125 = 50625\).

- So, \(y^2 = 50625\).

- Taking the square root, \(y = \sqrt{50625}\).

- This gives \(y = 225\).

- Option 1: 225

- Option 2: 205

- Option 3: 215

- Option 4: 235