Asifpirlo wrote:
If x and y are prime numbers such that x > y > 2, then x^2 − y^2 must be divisible by which one of the following numbers?
(A) 3
(B) 4
(C) 5
(D) 9
(E) 12
Lets take someexamples:
\(x = 5 & y = 3\)
\(= 5^2 - 3^2\)
\(= 25 - 9\)
\(= 16\)
Similarly you take any other prime numbers you will get a difference which is always divisible by\(4\) .
Hece, Answer is B
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