During which month do people sleep the least?

If we tell you that there is a relation between the numbers and letters in the given figure, can you analyze it and find the missing letter in the last box?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

You knock a Table over in the library, and suddenly 20 eyes are looking at you.

Can you identify if it's a murder or a suicide ?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

If all Goats are Sheep and all Sheep are Deers, are all Deers Goats ?

A man lives on the fifteenth floor of an apartment building. Every morning he takes the elevator down to the lobby and leaves the building. In the evening, he gets into the elevator, and, if there is someone else in the elevator, or if it was raining that day, he goes back to his floor directly. Otherwise, he goes to the tenth floor and walks up five flights of stairs to his apartment. Can you explain why he does this?

What does this mathematical rebus means ?