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College T has 1000 students. Of the 200 students majoring in one or more of the sciences,130 are majoring in Chemistry and 150 are majoring in Biology. If at least 30 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?

  1. 110 to 130
  2. 110 to 120
  3. 120 to 130
  4. 120 to 170

1 Answer

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Total students= 200 
chemistry students = 130 

biology students =150 
student who doesnt take any science = atleast 30 
200-30= 130 + 150 -x 
so x= 110 
common students who have taken both chemistry and biology =110

that can be maximize till 130 

so ans is 110 to 130


 

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