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GATE 2014 EC (EC4) – Question 8

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

Industrial consumption of power doubled from 2000–2001 to 2010–2011. Find the annual rate of increase (%) assuming it is uniform over the years.

  1. 5.6
  2. 7.2
  3. 10.0
  4. 12.2

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Correct answer: (B) 7.2

Explanation

With annual compound growth r, the ten-year doubling gives(1+r)¹⁰=2. Thus r=2^(1/10)−1≈0.071773, or7.1773%. The nearest option is **7.2%,B**. Dividing100%by ten would incorrectly assume simple rather than compound growth.