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October 27th, 2012, 12:34 AM  #1 
Newbie Joined: Oct 2012 Posts: 1 Thanks: 0  4 variable Venn diagram, Please help me in solving below que
In Shishu Vidyalaya, students study at least one of 4 subjects from Hindi, English, Science or Maths. The following additional information is known about the students in Shishu Vidyalaya Subject(s) Number of Students Hindi 54 English 77 Maths 91 Science 92 Further, it is also known that; ? 123 students study at least one of English and Science ? The number of students who study MathsEnglishScience is twice the number of students who study HindiMaths. ? The number of students who study HindiEnglish, Hindi alone and HindiScience form an arithmetic progression of common difference equal to 3. ? The number of students who study HindiEnglishScience, All the four subjects, English alone and Maths alone form an arithmetic progression of common difference equal to 2. ? The number of students who study Maths alone is equal to the number of students who study MathsEnglish, which is equal to the number of students who study MathsEnglishHindi. ? The number of students who study HindiMaths is one more than the number of students who study Maths alone. ? The number of students who study HindiScienceMaths is equal to the 3 rd prime number and the number of students who study MathsScience is equal to the 7 th prime number. 1. What is the total number of students in Shishu Vidyalaya? a. 150 b. 314 c. 160 d. 170 2. How many students study at least 2 of the 4 subjects? a. 94 b. 96 c. 112 d. 111 3. If the number of students who study exactly 3 subjects is equal to 8K+1, what is the value of K?a. 4 b. 5 c. 6 d. 7 4. If 16 students who study English, 12 students who study Science and 14 students who study Hindi leave the school, what could be the minimum number of students left in the school who study Maths? – a. 55 b. 60 c. 49 d. 57 
October 27th, 2012, 04:29 AM  #2  
Member Joined: Oct 2012 Posts: 45 Thanks: 0  Re: 4 variable Venn diagram, Please help me in solving below Quote:
 
October 27th, 2012, 07:55 AM  #3  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 5  Re: 4 variable Venn diagram, Please help me in solving below Quote:
 
October 27th, 2012, 08:02 AM  #4 
Member Joined: Oct 2012 Posts: 45 Thanks: 0  Re: 4 variable Venn diagram, Please help me in solving below
Wow... two answers, two stupid mistakes 
October 27th, 2012, 12:54 PM  #5 
Member Joined: Oct 2012 Posts: 45 Thanks: 0  Re: 4 variable Venn diagram, Please help me in solving below
I think there's something wrong. We know that then Now, , but therefore which means that but we know that Oops. 

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