The method to use here would be a simple comparison of the statements. Unfortunately, doing this successfully depends as much on you as it does on the statements given.
The simplest case would be if all of the statements involve a subject that you happen to know much about. If this is not the case, then the difficulty increases significantly. Our minds tend to use shortcuts to help us come to decisions quickly, and it is these shortcuts that we want to take advantage of here, so that we can spot factual inaccuracies quickly, and with accuracy. When comparing these statements, we have to put them into some sort of context. Assume that they are all correct, then say what if that were so? Find pieces of information you know are correct and draw inferences. Think to yourself "I don't know if this is true, but I know this other thing is. If the first statement were true, would this other thing still be true?" In doing this, you are drawing in your own knowledge, even if it is only barely relevant. If the statement is false, then it will cause other fact that you know to become false. As you build a strong basis of knowledge, you will be able to do this quicker and with more accuracy.