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Data on 450 candidates, who took an exam...

Data on 450 candidates, who took an examination in Social Science, Mathematics and Science is given below:
`{:("Passed in all the subjects","167"),("Failed in all the subjects",60),("Failed in social Sciences",175),("Failed in Mathematics",199),("Failed in science",191),("Passed in Social Science only ",62),("Passed in Mathematics only",48),("Passed in Science only ",52):}`
How many failed in one subject only?

A

152

B

144

C

61

D

58

Text Solution

Verified by Experts

The correct Answer is:
C

Total number of candidates = 450.
Candidates passed in all the subjects = 167.
Candidates failed in all the Subjects = 60.
Candidates passed in Social Science only = 62
Candidates passed in Mathematics only = 48.
Candidates passed in Science only = 52.
Therefore, candidates failed in one subject only
`= 450 - (167 +60 +62 +48 +52) = 450 - 389 = 61`
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