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\newcolumntype{Q}[1]{>{\centering\arraybackslash}p{#1}}

what does [1] and p{#1} mean ?

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p is a standard latex array column specifier

\begin{tabular}{cp{3cm}}

means that each cell in the second column is a parbox of width 3cm

Q here is defined as a new column type taking an argument Q{...} where #1 denotes the argument. so Q{3cm} expands to >{\centering\arraybackslash}p{3cm} which is a p column with \centering applied to each cell.

See the array package manual (texdoc array) for more details.

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