In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both subjects. If 2500 candidates appeared at the examination, how many passed in either subject but not in both ?

a. 325
b. 1175
c. 2125
d. None of these

• both fail=15% only fail in sub1=20% and only fail in subject2=(42-15)%=27%
  so only pass in subject1=27% and only pass in subject2= 20% so (20+27)%=47% passed in either subject but not both
  now 100% =2500
  so 47%=(2500/100) * 47=1175
  so ans is b.1175
  
• 11 years agoHelpfull: Yes(4) No(2)
• actual candidate=2500
  
  paper1 failed student = 35
  
  paper2 failed student = 42
  
  student failed on both = 15
  
  
  assume no of candidate = 100
  
  paper 1 passed student = 100-35=>65
  
  paper 2 passed student = 100-42=58
  
  students failed in paper1 only=35-15=20
  
  students failed in paper2 only=42-15=27
  
  candidate failed both paper=20+27+15=62
  
  candidate Passed both paper=100-62=38
  
  candidate Passed in paper1 only = 65-38=27
  
  candidate Passed in paper2 only=58-38=20
  
  either passed in paper1 & 2 = 27+20 =47
  
  but actual student = 2500 in question
  
  so 2500 *47/100 =1175
  
• 10 years agoHelpfull: Yes(4) No(1)
• pass in one subject=42-15 % of 2500
  
  =27% of 2500 = 27/100 *2500 = 675
  
  pass in another subject=35-15 % of 2500
  
  =20% of 2500 = 20/100 *2500 = 500
  
  student passed in either subject but not in both = 675+500 = 1175
• 5 years agoHelpfull: Yes(0) No(0)