In an examination 70% candidates passed in English, 65% in Mathematics, 27% failed in both the subjects and 248 passed in both the subjects. Find the total number of candidates.

• 400
  
  If there are 100 candidates, then
  candidates failed in english =30
  candidates failed in Maths = 35
  candidates failed in both = 27
  candidates failed in atleast one subject = 30+35-27 = 38
  candidates passed in both subjects = 62
  If 62 candidates passed in both subjects, then total candidates = 100
  If 248 candidates passed in both subjects, then total candidates = 100*248/62=400
  
• 12 years agoHelpfull: Yes(25) No(3)
• 400...
  p=total no.of student
  a=no.of student passed in eng=0.7p
  b=no. of student passed in maths=0.65p
  n(aUb)=n(a)+n(b)-n(aUb)
  =1.35p-248
  n(a'∩b')+n(aUb)=p
  0.27p+1.35p-248=p
  henc p=400
  
• 12 years agoHelpfull: Yes(8) No(2)
• 100 = 70%+65%-x+27
  x=162%-100%=62%
  62%=248
  100%=x
  by cross multiplying we get 400.
• 5 years agoHelpfull: Yes(0) No(0)