SOLUTION TO LAST MONTH'S QUIZ
1. 14
2. 20
3. 8
Notes.
Number who passed I but failed II = 5022 = 28
So in the Venn Diagram, e+a = 28  (i)
Similarly f+b = 4434 = 10  (ii)
and d+c = 8034 = 46  (iii)
Also a+b+c+d+e+f+g = 1002 = 98  (iv)
Add equations (i),(ii) and (iii) and subtract from (iv)
So g = 98281046 = 14
All remaining unknowns are then easily found,
in the following order: f, d, e, a, b, c
