There's a lot of great discussion here all! I'd like to clear up some confusion about how to approach this slightly unusual
inference question.
Inference questions will commonly have a list of facts that we must accept as true. This question has a distinct argument core, which means that we must accept the conclusion as if it were an additional fact. Let's get a sense of those facts:
1) XL sausage pizza + hot peppers = he got ill
2) AYCE fried shrimp + hot peppers = he got ill
3) 2 giant meatball sandwiches + hot peppers = he got ill
4) only food in common was hot peppers
5) hot peppers were sole cause of illness
So we accept that in those three instances, hot peppers were the cause of the illness, and they were the only cause of the illness. But is this a conditional relationship? Is this even a universal causal relationship? Can we say that this relationship between hot peppers and illness extends to other situations, other meals, the past, the future?
No! We have to accept that for those three meals hot peppers were the cause and the only cause of the illness. But there's nothing to indicate this is a general rule that will always hold true. Just because hot peppers made Monroe sick yesterday does not necessarily mean they will make him sick tomorrow - nor does it mean they made him sick last year.
Similarly, just because we accept that nothing else in the meals made Monroe sick on these occasions does not necessarily mean that those things won't make him sick in the future.
It's great to be on the lookout for conditional relationships, but conditionals are generally rules that are written as true all the time. "If I go dancing, then I'll get home late" means that that is what always must happen. If last Friday, I went dancing and it caused me to get home late, we can't leap to the blanket rule that it will always happen! We only know it happened once!
The only answer supportable with this limited information is
(B). Since we know that hot peppers were
absolutely the cause of his illness
that particular time, switching the shrimp for chicken and keeping the hot peppers
for that particular meal will mean he still gets sick.
We Don't Know That!(A) We only know that nothing else in those three particular meals, on those days, can make Monroe sick. There could be other ingredients that make him sick that weren't in the original meals.
(C) We simply don't know a thing about the future. We only know what caused his illness in those three specific meals. Just because we accept that the pizza did not cause his illness last time doesn't mean it's impossible for it to make him sick in the future!
(D) We know nothing about the distant past! We have to accept that the shrimp didn't cause his illness these times, but we have no idea whether he's eaten shrimp before, or whether it ever made him sick.
(E) There's no information about where else Monroe might or might not have eaten hot peppers on other occasions.
Note that the wrong answers are about: the distant past, the future, other locations, and other foods. Since what we know is limited to those specific meals on those specific days, all of this is out of bounds.
Before before getting swept off your feet by a charming conditional or causal relationship, be sure to ask yourself if it is something that is always true, or if it only applies for certain in limited circumstances.
Please let me know if this helps clear up confusion about this tricky question!