Find the next number in the sequence

1, 2, 6, 21, 88, __?

A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

Which is Odd One Out and why?

4377

3954

9862

8454

9831

I shave every day, but my beard stays the same. What am I?

After teaching his class all about Roman numerals (X = 10, IX=9 and so on) the teacher asked his class to draw a single continuous line and turn IX into 6. The teacher's only stipulation was that the pen could not be lifted from the paper until the line was complete.

A frog is at the bottom of a 30-meter well. Each day he summons enough energy for one 3-meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well?

If you read clockwise, you can form a word by inserting three missing letters in the picture given below. Can you do it?

How is a fly different from a mosquito?

A boy and a girl are sitting on the porch.
"I'm a boy," says the child with black hair.
"I'm a girl," says the child with red hair.
If at least one of them is lying, who is which?