Let \(k\) be an integer such that \(\frac{p}{9} + \frac{q}{10} = k\).

Since all three numbers \(p\), \(q\), and \(k\) are integers, among the given options, the only case could be:
integer \((\frac{p}{9})\) + integer \((\frac{q}{10})\) = integer \((k)\)

C wins
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.