FIJs, or Fact Inference Judgements are what we would call "Definition" based questions. The structure of these questions is such that a set of words are given a random definition, then we are supposed to categorize a set of sentances based on those definitions.
Now, for quite some time the Fact, Inference and Jugdgements have been give a definition that is close to real life definition, but that may not always be the case. So make sure to read the definitions properly on D day.
Now getting back to the FIJs that we know,.
1) You do not have to find if a sentance is a fact or an Inference, you only need to know if it is a Fact or not.
2) You do not have to find if a sentance is a Judgement or an Inference, you only need to know if it is a Judgement or not.
So now we have reduced FIJs to FJs. All you need to do is figure out the Fs and the Js, and be sure about them, and what is left is surely an Inference.
Now as per the definitions used lately in cat papers, a fact is not necessarily true, it is true subject to verification. which means it can be false too upon verification, but we do not care and will call it a Fact period.
Judgement is someone expresses his/her opinion on a ponit which maybe good or bad or great or anything else. These are of 2 main types.
Judgement based on stated facts and
Judgement based on unstated facts.
In both the cases we call them Judgements and Judgements only.
Now for some pointers with the help of examples.
(a) The heavy rains last year have been attributed to the goodwill of the gods
(b) The heavy rains last year were due to the goodwill of the gods
(a) would be a Fact, because both the occourance of heavy rains and their being attributed to the goodwill of gods is somethings that can be verified - For eg i can check up to see if there were heavy rains last year and if indeed someone did attribute the heavy rains last year to the goodwill of gods.
(b) would be a judgement, because although the occourance of heavy rains last year maybe a fact subject to verification, the opinion of the statement maker that these heavy rains are due to the goodwill of the gods is nothing but a Judgement based upon stated facts. For that matter even "The heavy rains last year can be attributed to the goodwill of the gods" will also be a Judgement.
Now look at some of the examples from cat 2006, here is a random selection of sentances
1) The truth is that we have more red tape - we take eighty nine days to start a new buisness, Australians take two.
2)Given the poor quality of service in the public sector, the HIV/AIDS affected must be switching to private initiatives that supply anit retroviral drugs (ARVs) at a low cost.
3)Red tape leads to corruption and distort's a people's character.
4)According to all statistical indications, the sarva siksha abhyan has managed to keep pace with its ambitious goals.
5)Every red tape procedure is a point of contact with an official, and such contacts have the potential to become opportunities for money to change hands.
Now lets dissect the above sentances.
1) Although the first part of the sentence may lead you to believe that it is a personal opinion, what follows this part makes is obvious that a statement of cerifiable fact is what is being made. So Fact. Things like "there is more rain here" "this is less suseptable" followed by a clear fact support it makes the whole stmt a fact. But something like "we are a less responsible people, we do not even care for our immediate environment" is very clearly a judgement based on a stated fact. The key to see the distinction clearly.
2) Reading second statement clearly shows that the second part of the statement is a personal opinion based on the first part that seems like a Fact. So Judgement
3) This is the easiest. It is a Judgement based on unstated facts.
4) This one is ambiguous, here is where we are prone to making a mistake.
According to all statistical indications tells us that there is a set of facts somewhere is the background.
has managed to keep pace is a conclusion ( not an opinion or Judgement) based on those background facts. So neither are the facts present here, and neither is there an opinion or Judgement. So this is clearly an Inference.
5) This is even more ambiguous. Here we are out of the scope of our reasoning.
Every red tape procedure is a point of contact with an official, this seems to us like a verificable fact. and
and such contacts have the potential to become opportunities for money to change hands. seems like an opinion - and we are tempted to call this a judgement. But on close reading we can see that the second part of the statement is a conclusion based on the first part. The clue is the word "potential" this one word disassociates the author from the statement and hence it is his conclusion based on a set of facts and not his opinion based on a set of facts. [Even I am a bit lost here, the explanation of 5 is from a source other than me
]
Conclusion
Its easier to find Facts, a little closer look will give us the Judgements. If you are very doubtful, its most likely an Inference. So just think of these sets as FJs and get cracking!
Hope this has been of help.
Aditya
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Edited to add:
it maybe useful if we can work these into our reasoning:1)Judgments are arguable and contestable. Inferences are rock solid. Although both judgments and inferences are based on facts, in the latter the conclusion is so unquestionable that it becomes fact itself.2)Judgments are opinions, suggestions and recommendations whereas inferences are proven conditions.3) Judgment statements include a lot of quantities that cannot be measured, such as happiness, beauty, joy etc.4) Many a times, judgments are not accompanied by facts at all but are only opinion statements. When there is no fact involved, the statement can only be a judgment statement.5) A judgment is an honest attempt to make reasonable observations about the given facts but they do not conclusively prove anything.
Some useful links (Although Im yet to read any of them fully)
Link 1Link 2Link 3 Ref :http://www.pagalguy.com/forum/cat-and-related-discussion/34706-the-pg-dream-team-08-a-28.html#post1267401
and another 25% filled the form because their peers filled it, so just to be a part of peer group, he/she filled the form! 
You will be back in your tempo.
