It is always ahead of me yet I can never see it. What is it?

A beggar on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the beggar finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

The centre of the third figure is empty. What digit should fit inside?

Can you decipher these quotes by Albert Einstein?
Blf xzm mvevi hloev z kilyovn lm gsv ovevo lm dsrxs rg dzh xivzgvw.

There are five vowels (a, e, i, o, u) in the English language.
Can you tell us a word that contains all these vowels?

Which city is three-fifths chick two third cat and 50% goat?

I throw two dice simultaneously.

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

What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

Role Action
Block Prevents the target player from acting
Redirect Change target player target.
Save Protects the target player from death.
Seer Sees all actions that occurred
Murderer Kills the target player

The following five players are playing:

Andy
Brian
Chris
Daniel
Fred

You are Andy the Seer and you saw the following things:
a) Brian was redirected to Chris.
b) Chris was blocked.
c) Daniel was killed.

Who is the murderer then?