GATE AG 2014 • Q4 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

Official Answer Key:

25 to 25

Step-by-Step Solution & Explanation

For a Poisson/geometric recurrence process, the expected (average) inter-arrival time equals the reciprocal of the annual probability of occurrence: Average recurrence interval = 1 / p = 1 / 0.04 = 25 years.

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