If each of the two digits \(X\) and \(Y\) is distinct, is the two-digit integer \(XY\) prime?

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If each of the two digits \(X\) and \(Y\) is distinct, is the two-digit integer \(XY\) prime?

(1) Each of the digits \(X\) and \(Y\) is the sum of \(2\) distinct single digit prime numbers.

(2) The sum of digits \(X\) and \(Y\) is \(16.\)

Answer: B

Source: Princeton Review
Source: — Data Sufficiency |