The invention relates to a group of wipes. The group of wipes includes at least three wipes separably joined together, each wipe separable joined to each adjacent wipe by a weakened line. Each weakened line includes a plurality of first-type weakened zones and at least one second-type weakened zone. The second-type weakened zone has a length that is at least 1.5 times a length of the first-type weakened zone and the second-type weakened zone is randomly positioned along the weakened line such that no two consecutive weakened lines have the second-type weakened zone in the same position relative to opposite ends of consecutive weakened lines.