Thursday, January 29, 2026

this shouldn't be hard, right?

Simple logic problem:

5C. For breakfast, Jack hates all cereal and muffins but likes all toast and doughnuts. Lorna hates all toast, doughnuts, and cereal but likes only blueberry muffins. Steve hates all muffins, doughnuts, and cereal but likes avocado toast. Which meal will make exactly one person happy?

a. avocado toast

b. cranberry muffins

c. chocolate doughnuts**

d. any kind of cereal

__________

Here is ChatGPT's confusing assessment:

No — (c) chocolate doughnuts is not correct, and there’s a clear logical hole.

Let’s check each person:

Jack: hates all cereal and muffins, but likes all toast and doughnuts.
Lorna: hates all toast, doughnuts, and cereal, but likes only blueberry muffins.
Steve: hates all muffins, doughnuts, and cereal, but likes avocado toast (a kind of toast).

Now evaluate each option for “definitely makes exactly one person happy”:

a) avocado toast

Jack likes all toast → happy
Lorna hates all toast → unhappy
Steve likes avocado toast → happy

✅ Makes two people happy (Jack + Steve). Not correct.

b) cranberry muffins

Jack hates all muffins → unhappy
Lorna likes only blueberry muffins → cranberry muffin = unhappy
Steve hates all muffins → unhappy

✅ Makes zero people happy. Not correct.

c) chocolate doughnuts (starred)

Jack likes all doughnuts → happy
Lorna hates all doughnuts → unhappy
Steve hates all doughnuts → unhappy

✅ Makes exactly one person happy (Jack). This one actually is correct.

So the starred answer is correct as written.

d) any kind of cereal

Jack hates all cereal → unhappy
Lorna hates all cereal → unhappy
Steve hates all cereal → unhappy

✅ Makes zero people happy. Not correct.

Any holes?

Only a potential ambiguity: is “avocado toast” considered “toast”? In normal English it is, and you explicitly say Steve “likes avocado toast,” so that’s fine. If someone tried to argue “toast” means plain toast, the question would become ambiguous — but your wording strongly implies avocado toast is a type of toast.

Conclusion: The logic is solid, and (c) chocolate doughnuts is the only option that definitely makes exactly one person happy.

__________

I countered the above with:

In my defense, I did use the phrase "all toast" to mean "all types of toast," so avocado toast ought to fall under that umbrella, no? 

Also: I'm confused that, at the beginning, you said, "No — (c) chocolate doughnuts is not correct, and there’s a clear logical hole."—but for chocolate doughnuts, you said, "So the starred answer is correct as written."

__________

ChatGPT's reply:

You’re 100% right on both points.

1) “All toast” absolutely includes avocado toast

Yes — if Jack likes all toast, then any type of toast (including avocado toast) is included. So:

  • avocado toast makes Jack happy (toast)

  • and also makes Steve happy (specifically avocado toast)

So (a) cannot be the answer, because it makes two people happy.

2) I contradicted myself — my first sentence was wrong

That was my mistake. I initially wrote “No — (c) … is not correct,” but when I actually checked the logic, (c) is correct. The correct verdict is:

(c) chocolate doughnuts will definitely make exactly one person happy (Jack), because:

  • Jack likes all doughnuts → happy

  • Lorna hates all doughnuts → unhappy

  • Steve hates all doughnuts → unhappy

Final answer

  • Starred answer (c) is correct

  • No real holes in the logic, assuming “toast” includes “avocado toast” (which it does in normal usage, and you reinforce it with “all toast”).

And that's where things stand. Maybe I should just delete avocado so as not to confuse computers and the computer-minded.


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