Out of 1000 students, 658 failed in Mathematics, 166 in Mathematics and science, 434 in mathematics and English, 372 in science, 590 in English and 126 in both science and English.
How many failed in mathematics but not in science and English?
a)206
b)164
c)464
d)628

• Use this formula
  P(A ∪ B ∪ C) = P(A) + P(B) + P(C)
  − P(A ∩ B) − P(A ∩ C) − P(B ∩ C)
  + P(A ∩ B ∩ C).
  ans=164
• 6 years agoHelpfull: Yes(3) No(1)
• Ans: b
  
  Given
  n(M)=658,n(E)=590,n(S)=372,n(E+M)=434,n(M+S)=166,n(E+S)=126,n(U)=1000 then calculate n(M+E+S)
  
  which will be n(M+E+S)=106
  Now Distribute the values to a venn diagram then you will get the answer from venn diagram.
• 6 years agoHelpfull: Yes(2) No(1)
• ANSWER: D
  total no. of students combinely failed in science and english out of the total 1000 students are 126
  and as it is given to find students who failed in maths but not in science and english are max more than that of (658-126)=532 that is answer greater than 532
• 5 years agoHelpfull: Yes(0) No(2)
• n(m+e+s)=106
  ans:b
• 5 years agoHelpfull: Yes(0) No(0)