A survey of a village showed that 1 / 10 of the total population speak neither Hindi nor English. 1 / 5 of them cannot speak English and 3 / 7 of them cannot speak Hindi. What percentages of people know only one language?

• If there are 70 people,
  7 speak neither Hindi nor English. 14 cannot speak English and 30 cannot speak Hindi.
  No. of people who know only one language= 30+14-7 =27.
  percentages of people who know only one language= 100*27/70= 270/7 % = 38.57%
• 13 years agoHelpfull: Yes(5) No(11)
• For puzzle dated 9/2/11
  (x^x)^x – x^(x^x) = 0
  How many values of x are possible?
  
  Possible answers are 3 values even if 0 is not considered.
  
  as x can have values -1,1,2 .
  
  Pls check and correct ur solution pls.
• 13 years agoHelpfull: Yes(2) No(3)
• population knowing no language=(H'intersect'E)=1/10
  so,people knowing atleast one language = (1-1/10)=9/10 or 90%
  
• 13 years agoHelpfull: Yes(1) No(5)
• percentage of people who cannot speak hindi = 3/7
  percentage of ppl who cannot speak english = 1/5
  percentage of people who cannot speak both = 1/10
  
  now we have the formula;
  P(A union B ) = P(A ) + P(B) - P(A intersection B)
  
  hence ;
  P(of ppl who cannot speak hindi or english or both) = (1/5) + (3/7) - (1/10) =175/350
  Now, Probability of ppl who can speak only one language = (P of ppl who cannot speak hindi or english or both) - (P of ppl who cannot speak both) = (175/30) - (1/10) = 140/350 = 0.4 = 40%
  
• 7 years agoHelpfull: Yes(1) No(4)
• persons who can speak English = 1 - (1/5) = 4/5
  persons who can speak Hindi = 1 - (3/7) = 4/7
  persons who can speak any or both = 1 - 1/10 = 9/10
  so total persons speak both = 4/5 + 4/7 - 9/10 = 33/70
  persons speak any = 1 - 33/70 - 1/10 = 3/7
  % = 300/7
• 7 years agoHelpfull: Yes(1) No(0)