Solution:

NEELAM.

Explanation:
Just read the car's number upside down and you will know why.

Solution:

Move the coins as given in the figure and you will get the required result.

Solution:

The probability of two numbers being relatively prime is 60%. Thus if you keep playing the bet, you will hypothetically make 20 cents on every play.

Thus, you should accept the bet.

Solution:

One Night Stand.

Explanation:
Number 'One' + Knight(chess piece) + st + and(symbol &)

Solution:

Six.

There are only five colors, so six socks guarantee that two will be the same color.

Solution:

Align the toothpicks to form TEN. Use one toothpick for each of the lines.

Solution:

It can be done as shown in the picture below.

Solution:

Yes, some people are going get really tiny pieces but you were allowed for that right. Also, there is another way of doing it. Can you think of it?

Solution:

Lucky days are here again.

Explanation:
Lucky + Day + s + R + H + Ear + Again (Flower represent lucky symbol)

Solution:

The women is a of short stature. She can't reach the upper elevator buttons, but can push is with his umbrella.

Solution:

I filled a glass full of water and held it over my head for 20 minutes.