Initially, I thought the entire question was wrong. How could Pat get a discount from a different location if he hadn't rented more than 10 videos? But then I realized that missing piece of information was the key to the right answer -- it's not clearly specified that he's actually a Frequent Viewer, and the prompt further points us to the answer by specifying the Walnut Lane. In a way, my own confusion led me to the correct answer after I thought about it for more than 30 seconds.

Honestly same. I spent most of that trying to map it out in my head. Once I did the actual lawgic diagram though, it became really clear -- guess I can't skimp on that anymore!

Maybe we should form a group if we're all really this interested?

If you are a person (One) → /sleep in the library

sleep in the library → /One (personhood)

I guess there's an implication there that the "one" in "no one" refers to a particular subset of "someones". Is a mouse "one"?

I think it makes sense if we consider the inverse.

Students are cited as late ONLY IF they arrive 5 minutes late.

Inverse: A student CANNOT be cited as late if they are less than 5 minutes late.

My read of the scenario, although confusing, is that Kumar COULD have been marked late for being 17 minutes late, but being +5 minutes late is only a prerequisite for being marked late -- not a guarantee. There's simply a minimum parameter that must be met before he CAN be marked late.

Trying to reframe with some other examples:

1. Test Score

Necessary Condition: "You can pass the test only if you score more than 50%."

Scoring more than 50% is necessary to pass, but it doesn’t guarantee passing (other criteria may apply, like attendance).

Sufficient Condition: "If you score 90%, you will pass the test."

Scoring 90% is sufficient to pass.

2. Driver's License

Necessary Condition: "You can legally drive only if you have a valid driver's license."

Having a license is necessary, but it doesn’t guarantee you are driving legally (e.g., you might be under the influence).

Sufficient Condition: "If you pass the driving test, you are eligible for a driver’s license."

Passing the test is sufficient for eligibility.

3. Chess

Necessary Condition: "You win the chess game only if you checkmate your opponent."

Checkmating is necessary to win, but doesn’t guarantee a win (e.g., a stalemate might occur).

Sufficient Condition: "If your opponent resigns, you win the chess game."

Resignation guarantees a win.