It might be worth clarifying the differences in testing a diode (rectifier or Zener) using either an analogue (AMM) or a digital multimeter (DMM).
Using an AMM's resistance measuring modes is the straightforward. An AMM will measure a relative low resistance with the leads connected one way round and a very high resistance with the leads connected the other way round, assuming the diode is ok. However, the low resistance measured will be much higher than the real value because of the way the measurement is done.
In the case of most DMM's, it will not be possible to test a diode using the resistance settings because of the way the DMM works - it will indicate an open circuit with the leads connected either way round. To overcome this problem, most DMM's have a diode test setting. In this case, in the forward bias case, the DMM will measure the voltage dropped across the diode which will normally be 0.5-0.7V - it doesn't indicate the resistance. In the reverse bias case, it will indicate an open circuit.
Therefore, either type of multimeter can be used but you need to be a bit more careful with the digital version.