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GATE 2016 ME (ME1) – Question 6

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

A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?

  1. 15
  2. 33
  3. 35
  4. 37

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Show answer and explanation

Correct answer: (C) 35

Explanation

Use the supplied hypothetical probabilities: infection probability0.50, and probability of no disease conditional on infection1−0.30=0.70. Their joint probability is0.50·0.70=0.35. Thus **35%, C**, of all persons in the model are infected without the stated disease outcome.