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

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

Count the number of triangles in the picture below:

What seven-letter word has hundreds of letters in it?

We have four gears with below features=> Both Gear A and D has 60 teeth=> Gear B has 40 teeth=> Gear C has 20 teeth=> Every two minutes, Gear B makes 25 full turns.What is the relative speed of Gear A and Gear B?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

You have two buckets of 11 liters and 6 litres.
How can you measure exactly 8 litres?

Who is that with a neck and no head, two arms and no hands? What is it?

Below toothpicks/matchsticks indicate the group of fishes moving from west to east direction. Can you make them move from east to west by just moving three toothpicks/matchsticks?

With the help clues provided in the image, can you find the 5 digit key?