What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?

What occurs twice in a week, once in a year but never in a day?

In a rainy season, one day 3 huge ladies walked under a normal-sized umbrella.
The umbrella is not huge enough to accommodate all 3 ladies yet not a single lady got wet. Why?

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

Take away the whole and some still remain. What is it?

Can you find a five letter word that is left with only two letters if one is removed?

As we know that white starts the game of chess. Can you find the scenario shown in the picture below is possible when all the white pieces are at the original place while the black pawn is not as in the below picture?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

Peter wakes up daily to pick up his cycle and crosses the border between Spain and France daily with a bag on his shoulder. He is investigated daily by the officials but they don't find anything suspicious.

If we tell you that he is smuggling something what would it be?

That attorney is my brother, testified the accountant.

But the attorney testified he didn't have a brother.

Who is lying?