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If two distinct integers \(x\) and \(y\) are randomly selected from the integers between \(1\) and \(10,\) inclusive, what is the probability that \(\dfrac{x^2-y^2}4\) is a positive odd integer?
(A) \(\dfrac1{12}\)
(B) \(\dfrac1{14}\)
(C) \(\dfrac1{15}\)
(D) \(\dfrac18\)
(E) \(\dfrac2{15}\)
Answer: C
Source: Manhattan GMAT
(A) \(\dfrac1{12}\)
(B) \(\dfrac1{14}\)
(C) \(\dfrac1{15}\)
(D) \(\dfrac18\)
(E) \(\dfrac2{15}\)
Answer: C
Source: Manhattan GMAT