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Hello Everyone,

Another one of the Venn diagram Sets ques where I get stuck.

Q- In survey of potential presidential candidates A and B, 30 percent liked A and 48 percent liked B. If the percentage of people who liked only one candidate is two times the percentage of people who liked both candidates then what is percentage of people who liked neither candidate ?

(A) 27.5%

(B) 35.5%

(C) 41.5%

(D) 58.5%

(E) 64.5%

OA is C.

I tried solving it using formula -

AUB = A + B - (A INT B) + none

A = 30% & B = 48%

None = what we need to find out

so far it seems okay,

now...% who like one is 2 twice who liked both then we can rewrite it as - 2(A IN B)= A or B.. i mean twice a intersection b is = a or b..

I mean got stuck here...how do I go ahead ?

Cheers,

GR