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Question

Read the following information carefully and answer the questions:    In hospital ‘A’, total number of doctors is 200, out of this 75% are male doctors and rest is female doctors. In hospital ‘B’ total number of doctors are half of the doctors of hospital ‘A’. In hospital ‘B’, 30% is male doctors. Total number of doctors in hospital ‘C’ is 70 less than the number of male doctors in hospital ‘A’. In hospital ‘C’, female doctors are equal to the male doctors of hospital ‘B’. In hospital ‘D’, total female doctors are 120, which 20% of total doctors.

What is average number of female doctors of hospital A, B and C together?

A 50 Correct Answer Incorrect Answer
B 45 Correct Answer Incorrect Answer
C 52 Correct Answer Incorrect Answer
D 48 Correct Answer Incorrect Answer
E 30 Correct Answer Incorrect Answer

Solution

Total doctors in hospital ‘A’ = 200   Male doctors in hospital ‘A’ = 200 × (75/100) = 150   Female doctors in hospital ‘A’ = 200 – 150 = 50       Total doctors in hospital ‘B’ = 200/2 = 100   Male doctors in hospital ‘B’ = 100 × (30/100) = 30   Female doctors in hospital ‘B’ = 100 – 30 = 70   Total doctors in hospital ‘C’ = 150 – 70 = 80   Female doctors in hospital ‘C’ = 30   Male doctors in hospital ‘C’ = 80 – 30 = 50   Female doctors in hospital ‘D’ = 120   Total number of doctors in all hospitals = 120 × (100/20) = 600   Total doctors in hospital ‘D’ = (600 - 200 - 100 - 80) = 220 Total number of male doctors in hospital 'D' = 220 - 120 = 100 Required average = (50 + 70 + 30)/3 = 150/3 = 50

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