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EEJ MAIN Aptitude QUESTION #10939
Question 1
The Golden Ratio (\(\phi \approx 1.618\) is used extensively in architectural proportioning. If the longer side of a golden rectangle is 26 cm, what is the shorter side (to the nearest cm)?
  • 16 cm✔️
  • 18 cm
  • 14 cm
  • 21 cm
Correct Answer Explanation

In a golden rectangle: \(\dfrac{\text{longer}}{\text{shorter}} = \phi \approx 1.618\

Shorter side = \(\dfrac{26}{1.618} \approx 16.07 \approx \mathbf{16}\ \text{cm}\

The golden ratio appears in the Parthenon, Le Corbusier's Modulor system, and many classical buildings. It creates proportions perceived as naturally harmonious by the human eye.