Question

One of Mr. Abdul, his wife, their son, and their daughter is a butcher, and another is a baker. Here are some facts:

1. If the butcher and the baker are the same gender, then the baker is older than the butcher.

2. If neither the butcher nor the baker is the parent of the other, then the butcher is older than the baker.

3. If the butcher is a man, then he and the baker are the same age.

4. If the butcher and the baker are of the opposite gender, then the man is older than the woman.

Whose occupation can be determined?

Answer 1

The daughter is the butcher.
The baker can be either the son or the wife.
.
1) If the butcher and baker are the same gender, then the baker is older
2) If the butcher and baker are opposite genders, then the man is older
3) If the butcher is a man, then the butcher and baker are the same age.
This contradicts, thus the butcher cannot be a man.
.
Thus, the butcher can be the wife or the daughter.
If the other is the baker, then according to 1) the baker must be the wife and the butcher the daughter.
.
If the baker is the son, then 4) the daughter must be the butcher.