Question 1163106
<pre>
{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,"a=?"),
locate(-3.5,-2,"h=?"),
locate(0,-2.7,M),
locate(-.45,-1,"g=?"),
locate(.6,.4,"f=?"), 
circle(sqrt(2),sqrt(2),2), 
locate(-3.5,2.5,E),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,S),
locate(-1.5,.5,"d=?"),
locate(-.4,2.3,"b=?"),
locate(1.8,2,"c=?"),
locate(-.4,1.1,"e=?") )}}}

In Venn diagram problems, the clues are nearly always given in the reverse
order from the order that you need them, so we begin by rearranging them in
reverse order: 

100 passed English, Spanish and Mathematics, that's e
   So we put 100 for e
150 English and Mathematics, that's d+e
   So we put 150-100=50 for d
160 Spanish and Mathematics, that's, e+f
   So we put 160-100=60 for f 
180 passed English and Spanish, that's b+e
   So we put 180-100=80 for b 
220 passed Math, that's d+e+f+g
   So we put 220-50-100-60=10 for g 
280 passed Spanish, that's b+c+e+f 
   So we put 280-80-100-60=40 for c
300 passed English, that's a+b+d+e
   So we put 300-80-100-50=70 for a
440 students took the exam, that's a+b+c+d+e+f+g+h
   So we put 440-70-80-40-50-100-60-10=30 for h

{{{drawing(300,300,-4,4,-5,4,
rectangle(-4,-3.5,4,4),
circle(0,-.5,2),
locate(-2.3,2,70),
locate(-3.5,-2,30),
locate(0,-2.7,M),
locate(-.45,-1,10),
locate(.6,.4,60), 
circle(sqrt(2),sqrt(2),2), 
locate(-3.5,2.5,E),
circle(-sqrt(2),sqrt(2),2),
locate(3.5,2.5,S),
locate(-1.5,.5,50),
locate(-.4,2.3,80),
locate(1.8,2,40),
locate(-.4,1.1,100) )}}}

The question is:

How many altogether passed at least one of these three subjects?

That's all but the h=30 who didn't pass any. That's 440-30=410

Edwin</pre>