Are you male? This will not split the population 50/50. One group will be slightly larger, and you then only have 32 questions to subdivide this larger group in

Are you male? This will not split the population 50/50. One group will be slightly larger, and you then only have 32 questions to subdivide this larger group into further categories which is impossible. This is not possible unless the categories _precisely_ bisect the group each time.