The correct answer is A. If A is a beggar, then A is not rich.
B is not correct because it is possible for someone to be poor and not be a beggar. For example, someone who is unemployed may be poor, but they may not be begging for money.
C is not correct because it is possible for someone to be rich and be a beggar. For example, someone who has lost everything in a financial crisis may be rich in terms of their assets, but they may be begging for money to survive.
D is not correct because it is possible for someone to be a beggar and not be rich. For example, someone who is homeless may be begging for money, but they may not have any assets.
The statement “All beggars are poor” means that if someone is a beggar, then they are poor. This does not mean that if someone is poor, then they are a beggar.