Solution:

I was born in Hospital whose room number is 1950.

Solution:

Option A) :Yes

Explanation:
If Rachel is married, Joey who is unmarried is looking ar Rachel who is married.
If Rachel is unmarried, then Ross who is married is looking at Rachel who is unmarried.

Solution:

Simple, You must shoot the Tiger and drive off in the jaguar(car).

Solution:

Can be done smartly as shown below.

Solution:

Mr. Orange is wearing a Green shirt.
Mr. Pink is wearing an Orange shirt.
Mr. Green is wearing a Pink shirt.

One should notice that the person wearing Green shirt agreed to Mr. Pink's statement which implies that Mr. Pink is not wearing Green. Obviously, he cannot be wearing a Pink shirt which is why he must be wearing an Orange shirt.

Now, we can easily deduce that the Green shirt is being worn by Mr. Orange and the Pink shirt by Mr. Green since they must be wearing a color different than their names.

Solution:

987 is sam house number.
Pricing is simple 10$ for each number.

Solution:

She was playing baseball.

Solution:

It can be done as shown in the picture below.

Solution:

John Walters was drowned in the quicksand.

Solution:

It can surely be true because it is not mentioned that it was raining.