I have branches, but no fruit, trunk or leaves. What am I?

What is the coolest letter in the alphabet?

You are provided with a grid (as shown in the picture). Can you fill the squares with numbers 1-8 in a manner that none of the two consecutive numbers are placed next to each other in any direction (vertically, horizontally or diagonally?)

They came out at night, without being called.
They lost at day, without being stolen.
Who are they?

A father is locked up in jail. His wife has gone bankrupt. Their male child has to sell his hotel in order to gain some money. Yet their girl child does not care and is quite happy.

How can someone be so rude?

A newspaper is supposed to have 60 pages, but pages 24 and 41 are missing.
Which other pages won't be there?

A father's child, a mother's child, yet no one's son.

Who am I?

How can you tell a raw egg from a hard-boiled egg?

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains the same digits only.

Can you find that number?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?