In an examination, there are three subjects 'A', 'B' and 'C', A s

In an examination, there are three subjects 'A', 'B' and 'C', A s
| In an examination, there are three subjects 'A', 'B' and 'C', A student has to pass in each subject. 20% students failed in 'A', 22% students failed in 'B' and 16% students failed in 'C'. The total number of students passing the whole examination lies between :

A. 42% and 84%

B. 42% and 78%

C. 58% and 78%

D. 58% and 84%

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Let the maximum number of students be 100

   Students passed     Students fail    
 A   80 20
 B   78 22
 C   84 16

Maximum number of students who pass all three subjects = 78 + 78 + 78 = 234

Minimum number of students who failed all three subjects = 42 + 42 + 42 = 126 

Maximum Percentage = 234 × 100/300 = 78%

Minimum Percentage = 126 × 100/300 = 42%

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