Friday puzzle -- Which cards to flip

Out of the box solution

To stay out of the box, I'll keep quiet. ;-)

Nice one Alex.

Re: Out of the box solution

Since there are no takers yet:

One because of what you know.

Two because of what you don't know.

And the other one doesn't matter.

Correct

When I faced this one, I got the logic part right, but was sloppy in solving it. My mind leapt to an unwarranted assumption, and I worked from that frame, without going back to examine my assumptions.

Specifically, I assumed that every card has a letter on one side and a number on the other. Not a bad GUESS based on the cards shown and the nature of the claim. But clearly not warranted. With that assumption, the other side of the D doesn't matter, either.

Congrats to Bill

To elaborate on his answer, a card can either satisfy the claim (have a vowel on one side and an even number on the other side), contradict the claim (have a vowel on one side, but NOT have an even number on the other side), or be irrelevant (the claim only talks about cards that have a vowel on one side, so no claim is made about cards that have no vowels.)

We must turn over the A card to determine if the claim is true wrt that card.

We must turn over the D and 3 card to ascertain that the claim does not relate to them. Since neither of them is an even number, if either has a vowel on the other side, that would invalidate the claim.

The 6 card is irrelevant to the claim. If it has a vowel on the other side, it complies with the claim, and if not, the claim says nothing about that card. Either way, it can't change the conclusion you have reached by looking at the the other three cards.