Question Bank - Mathematics

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What is the percentage of candidates who failed in at least on subject?

A.
31%
B.
35.40%
C.
38.80%
D.
41.50%

Solution:

Given : Total candidates appeared in an examination = 50030 candidates failed in English only75 failed in Hindi only50 failed in mathematics only and 15 failed in both English and Hindi17 failed in both Hindi and Mathematics 17 failed in both Mathematics and English 5 failed in all three testsConcept used :Venn diagram conceptCalculations :Candidates failed in atleast one subject? Candidates failed in one subject + candidates failed on two subject + candidates failed in three subjectCandidates failed in english = 30Candidates failed in Hindi = 75Candidates failed in mathematics = 50Candidates failed in english and hindi only = 10Candidates failed in english and mathematics only = 12Candidates failed in Hindi and mathematics only = 12Candidates failed in Hindi, english and mathematics = 5Candidates failed in atleast one subject = 30 + 75 + 50 + 10 + 12 + 12 + 5? 194Percentage of candidates failed in atleast one subject? (Candidates failed in atleast one subject/Total candidates) × 100? (194/500) × 100? 38.8 %? Percentage of candidates failed in atleast one subject is 38.8%

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