The Nash problem on arcs for normal surface singularities states that there are as many arc families on a germ (S,O) of a singular surface as there are essential components of a desingularisation of (S,O). It is known that this problem can be reduced to the study of quasi-rational singularities. In this Note we give a positive answer to the Nash problem for a family of non-rational quasi-rational hypersurfaces. This same method applies to give a positive answer in some other cases, for instance, the E_6 and E_7 type singularities, and gives simple proofs of known cases.
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