MathematicsIn an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% of candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% of candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?


  1. A
    18%
  2. B
    21%
  3. C
    23%
  4. D
    25% 

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    Solution:

    The correct answer is: 23%.
    number of candidates who failed at least one subject=number of candidates failed in English+ number of candidates failed in Mathematicsnumber of candidates failed in both subjects  
    Number of candidates who failed at least one subject=52+4217 number of candidates who failed at least one subject=77  
    Now,
    Assume the total number of students to be 100
    Number of candidates passed in both subjects=10077 Number of candidates passed in both subjects=23  
     
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