Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

What is both possible and impossible at the same time?

You need to pick one entry from pot A and one from pot B to have a perfect match. Can you do it?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

Count the number of lines in the image below ?

Two fathers and two sons went fishing one day. They were there the whole day and only caught 3 fish. One father said, that is enough for all of us, we will have one each. How can this be possible?

I know a nine-letter word having only one vowel.
Do you ?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

When does a USA Potato change its nationality?

Known by all without exception, Forever here, for your protection, Sometimes strong, sometimes weak, Right after the night I come - hot and chic. And while millions of miles away, I always get to you, I find my way. No life around could do without me, Can you guess what I might be?