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In the present work, we study the mutual singularity of multifractal Hausdorff and packing measures which provide a positive answer to Olsen's questions in a more general framework. Our main results apply to a family of measures supported by the full 5-adic grid of [0, 1], namely the quasi-Bernoulli measures.doi:10.22199/issn.0717-6279-2021-01-0005 fatcat:5x7ls6uesne33g2mfjd5fpjale