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GATE 2018 CE (CE2) – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Annual average rainfall in a tropical city is 1000 mm. The graph shows cumulative rainfall on one rainy day (24 hours). Half the rain falling on an unobstructed 50 m² rooftop is harvested. What volume is collected in litres?

Diagram for GATE 2018 CE (CE2) question 8
  1. 25000
  2. 18750
  3. 7500
  4. 3125

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Show answer and explanation

Correct answer: (C) 7500

Explanation

The final cumulative rainfall is 300 mm = 0.3 m. Harvested volume is $0.3(50)(0.5)=7.5$ m³ = 7500 litres (C). The annual rainfall does not determine this day’s harvest.