Which is the rope you never skip with?

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

Can you find the number?

I don't get anymore wetter, no matter how much rain falls on me.

Give it food and it will live; give it water and it will die.

An artist while painting a scenic beauty, decides to paint three layers of blue colour on the sky.

Which layer will go on the first?

There is a five-letter word which has 3 consonants(all are same) and 2 different vowels.
Also, something wrong is associated with the word.

Can you name it?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

John was drowned by he was not wet. How?

It is an eleven letter word.
The first, second, third and fourth letters form a banquet's name.
The fifth, sixth and seventh letters form a car's name.
The eighth, ninth, tenth and eleventh letters form a mode of transport.

Can you identify what word it is?