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To determine which group had the most members, it's important to analyze the information given regarding Group Y, which makes up 5/12 of the total number of doctors.

If Group Y consists of 5/12 of the total, this means that it represents less than half (which would be 6/12 or 1/2) of the total doctors. Consequently, at least 7/12 of the doctors are accounted for in either Group X, Group Z, or a combination of both. Since Group Y is already known to be less than half, it follows that one of the groups X or Z, or possibly both, must consist of more doctors together than Group Y does alone.

If Group Y is not the largest group, and based on the fraction 5/12, it can be inferred that either Group X or Group Z (or both) must have more than 5/12 of the total number of doctors. Therefore, without additional information confirming their sizes or ratios, it can be deduced that Group X could potentially have the highest number of members among the three groups, especially if X is greater than Y.

Thus, based on this reasoning, declaring Group X as having the most members is consistent with the