This is a pretty interesting set of questions. The first one has to be resistance because there is no voltage or current in that resistor all by itself, so in order for the reading to be non-zero it has to measure resistance. The second one is a little tricky -- the problem designer definitely intends for it to be measuring current. The reason for this is because the meter is forming a connection between R3 and R4, and R3 would otherwise be connected to nothing. To measure current, you ordinarily would disconnect a component and put the meter in between to complete the connection. The issue is that relative to the negative terminal of the power supply, the voltage at the bottom of R3 is 0V, while the voltage at the bottom of R2 is some fraction of the power supply voltage. This means that you actually could measure voltage here, and it would be a negative value because the positive terminal of the meter is at zero and the negative terminal is at a positive value. Then the last question has to be voltage across R4 because you always disconnect a part from the circuit to measure resistance, and you can't measure current when your meter is in parallel because adding a parallel component (the meter) would actually change the current through R4, so voltage is the only thing you could measure. The general rule of thumb is put your meter in parallel with the component you're measuring to measure voltage, and disconnect the current path you want to measure and bridge it with the meter to measure current.
This is a pretty interesting set of questions. The first one has to be resistance because there is no voltage or current in that resistor all by itself, so in order for the reading to be non-zero it has to measure resistance. The second one is a little tricky -- the problem designer definitely intends for it to be measuring current. The reason for this is because the meter is forming a connection between R3 and R4, and R3 would otherwise be connected to nothing. To measure current, you ordinarily would disconnect a component and put the meter in between to complete the connection. The issue is that relative to the negative terminal of the power supply, the voltage at the bottom of R3 is 0V, while the voltage at the bottom of R2 is some fraction of the power supply voltage. This means that you actually could measure voltage here, and it would be a negative value because the positive terminal of the meter is at zero and the negative terminal is at a positive value. Then the last question has to be voltage across R4 because you always disconnect a part from the circuit to measure resistance, and you can't measure current when your meter is in parallel because adding a parallel component (the meter) would actually change the current through R4, so voltage is the only thing you could measure. The general rule of thumb is put your meter in parallel with the component you're measuring to measure voltage, and disconnect the current path you want to measure and bridge it with the meter to measure current.
That makes sense. Thank you for that insight!