GATE AG 2014 • Q5 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?

Options:

  • (A) 3-4 years
  • (B) 4-5 years
  • (C) 5-6 years
  • (D) 6-7 years

Official Answer Key:

A

Step-by-Step Solution & Explanation

Compound growth: P(1.20)^n = 2P → 1.20^n = 2. n = ln 2 / ln 1.20 = 0.6931 / 0.1823 = 3.80 years, which falls in the 3–4 year bracket. Answer: (A).

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