Which word does the below Plexor means ?

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

Can you decipher the below rebus?

PBLUESAISNUERSES

He loves to dance, twist and prance, he shakes his tail, and as a way he sails, wingless he flies into the sky. What is he?

He does not have any heart but still, He manages to live.
If you kill him, you will eventually die but yet you kill him.
He cannot run, who is He?

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?

Find the Goldfish below the given Image.

Why 1729 is a magic number? Answer Logically.