What you cannot hold but it is yours?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

No one wants to have it, but if one got it, he does not want to lose it. What is It?

Find the missing number in the image below.

Solve below popular number sequence
314 159 265 358 979 323 846 ?

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Sweet & very intelligent katty has 8 puppets(Jane Bird Barbie Angel Colleen Nora Lass Missy).
All puppets are of different size. She arrange all puppets to face towards the guest and tell the guess the following clues :

* Jane has three puppets bigger on its left side
* Bird has two puppets smaller on its left side
* Barbie has one puppet bigger on its right side
* Angel has two puppets smaller on its right side
* Colleen has one puppet bigger on its left side
* Nora has one puppet smaller on its left side
* Lass has four puppets bigger on its right side
* Missy has three puppets smaller on its right side

Also some puppets are inside the bigger puppets.

Assuming you are the guest , can you tell the katty how the puppets are arranged ?

The more you take me, the more you leave me behind.
Who Am I?

While preparing the table for dinner, wife came up with an idea to tease his mathematician husband. She asked her husband to pick nine toothpicks and make ten without breaking any toothpick.

The husband was also smart and did it within seconds. How ?

Make eight squares by moving only two matchsticks.
Note- Square can be of different sizes.