GMAT Exam

Of the applicants passes a certain test, 15 applied to both college X and Y. If 20 % of the applicants who applied college X and 25% of the applicants who applied college Y applied both college X and Y,how many applicants applied only college X or college Y?

Read Solution (Total 1)

105 applicants applied only college X or college Y.

Let X = Applicants applied to only College X
And Y = Applicants applied to only College Y.

Then 0.20(X+15) = 15. (20% of applicant applied in college X)
And 0.25(Y+15) = 15. (25% of applicant applied in college Y)

By solving this, we get
X = 60 and Y = 45

So X + Y = 105 applicants.
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