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GATE2016 EC-1: GA-6

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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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50% probability if a person passes through a tuberculosis zone  and only 30% of infected people shows symptoms

so 70% do not show any symptoms  percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease

=50*70/100=35%
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