Number of tenants support X = n(x)
Number of tenants support Y= n(y)
Number of tenants support both = n(x&y)
Given that, n(x)/n(x&y) = 3/2
n(y)/n(x&y) = 2 * 3/2 = 3
tenants only support x = n(x) - n(x&y)
Tenants only support y = n(y) - n(x&y)
Ratio of tenants only support x to tenants only support y = ( n(x) - n(x&y) ) / ( n(y) - n(x&y) )
Multiply n(x&Y) on top & bottom of above ratio = (n(x) - n(x&y))/n (x&y) / (n(y) - n(x&y))/n(x&y)
n(x) - n(x&y) / n(x&y) = (n(x)/n(x&y)) - 1 = (3/2) - 1= 1/2
n(y) - n(x&y) / n(x&y) = n(y)/n(x&y) - 1 = 3 - 1 = 2
Answer = (1/2) /2 = 1/4
All the remaining information is for confusing the candidates
Bunuel
A survey was conducted among the tenants of the Arconia building about their support for two propositions, X and Y. The ratio of the number of tenants who support proposition X to the number who support both X and Y is 3 to 2. The ratio of the number of tenants who support proposition Y to the number who support both propositions is twice that ratio. The ratio of the number of tenants who support neither proposition to the number who support both propositions is half the first ratio. What is the ratio of the number of tenants who support only proposition X to the number who support only proposition Y?
A. 1 : 4
B. 1 : 3
C. 1 : 2
D. 3 : 1
E. 4 : 1
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