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

What is the Surname of Barbie Doll?

Only one colour, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?

What happened when the wheel was invented?

A man is walking down a road with a basket of eggs. As he
is walking he meets someone who buys one-half of his eggs
plus one-half of an egg.
He walks a little further and meets another person who buys
one-half of his eggs plus one-half of an egg.
After proceeding further he meets another person who buys
one-half of his eggs plus one half an egg. At this point, he
has sold all of his eggs, and he never broke an egg.
How many eggs did the man have to start with?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

What does the below rebus puzzle mean?

I am dry when I go inside, but wet when I am pulled outside.
The longer I am inside, the stronger I get
When I am completely out, I am wet and I literally sag
Who am I?

I am quite hot but become too cold if you remove the first two letters. What am I?