In an examination, 70% students passed in Science and 65% passed in Social Studies. 27% of the students failed in both the subjects. If only 292 students passed in both the subjects, the total number of students appearing for the examination was

400

• 27% failed in both subjects. i.e,73% passed in atlest one.
  73%=70%+65%-x
  x=62%of total=292
  total=470
  
  
• 10 years agoHelpfull: Yes(40) No(2)
• Some data in the question is mismatched.For the answer to be 400, students passed in both the subject should be 248.
  
  with the given data answer should be 470.96
  % of students passed in either one or both the subject=100-27= 73
  % of students passed in both the subject=(70+65)-73=62
  So % of students passed only in Science=70-62=8 &
  % of students passed only in social Studies=65-62=3
  As 62%=292, So total number(100%) of students=100*292/62=14600/31=470.96
• 10 years agoHelpfull: Yes(15) No(1)
• since 27% failed in both subjects so 73% must pass in both subjects.
  and 292 students passed in both subjects
  so,x*73%=292, where x is total no of students appeared in the exam.
  so x*73/100=292
  x=400
• 10 years agoHelpfull: Yes(9) No(13)
• pass in either one or both subject= n(A)+n(B)-n(C), =70% of x( assume total student is x) =(70+65-27)/100=62*x/100,
  therefore, 62*x/100=292, => x=470.96, => 471(approx)
  ANS= 471
• 9 years agoHelpfull: Yes(4) No(0)
• pass in either one or both subject= n(A)+n(B)-n(C), =70% of x( assume total student is x)(100-27=73% paee in both) =(70+65-73)x/100=62*x/100,
  therefore, 62*x/100=292, => x=470.96, => 471(approx)
  ANS= 471
• 9 years agoHelpfull: Yes(3) No(0)
• let x be the total no of students
  By the ques it is given that only 292 students have passed in both the subjects.
  so, (x-292) are the no of students that have failed in both the subjects.
  therefore,(x-292)=27% of x
  hence by solving x=400
• 9 years agoHelpfull: Yes(2) No(0)
• suppose there is 100X students,292 passes in both subjects,then failed in both subjects=(100X-292)
  100X-292=27x ie x=4 so total students =400
  
• 8 years agoHelpfull: Yes(0) No(0)
• 27% failed in both subject i.e, 73% passed in atleast one.
  then,
  (292*100)/73= 400;
  so the total students appearing in examination was 400
  
• 8 years agoHelpfull: Yes(0) No(0)