Cheap ohm meter (ohms X1 is important, not like 10K=10000) would be best, but the key is that each motor lead to each other motor lead should act like a straight wire connection and easily pass several amps of current.
<-----wire-----bulb-----battery-----wire----->
You short the two wires together and the bulb lights. Touching the two test wires to every possible pair of the three motor wires and the bulb should light up each time.
Another way to test requires a current limit in your quad to keep from potentially burning ESC / motor. A simple automotive bulb such as #1156 works fine for a current limit (and for the previous simple tester). Test just one motor. Undo one motor lead and retest. Did startup change (probably much worse)? It should change. Try all three, disconnecting a single motor wire at a time and leaving the other two motor wires connected. If you find one where it doesn't change, then that lead is probably already "open". It still could be ESC or motor though.