Correct Answer - 20
a + e + f + g = 120 … (i)
b + d + f + g = 90 … (ii)
e + f + c + d = 70 … (iii)
g + f = 40 … (iv)
f + d = 30 … (v)
e + f = 50 … (vi)
U - (a+b+c+d+e+f+g) = 20
implies a + b + c + d + e + f + g = 180 ... (vii)
From Eqs. (i) and (iv), a + e = 80 ... (viii)
From Eqs. (ii) and (iv), b + d = 50 ... (ix)
From Eqs. (iii) and (v), e + c = 40 ... (x)
from Eqs (viii), (ix) & (x), a + b + c + d + e + = 197 ... (xi)
from (xi), (vii) and (iv), 197 - e + 40 = 180
170 - e + 40 = 180
e = 210 - 180 = 30
From Eq. (vi), e + f = 50
implies 30 + f = 50
implies f = 20