What is both possible and impossible at the same time?

Can you fill the blank with the correct number?

6 30 870 756030 _____

This isn't your average math problem. It requires you to see beyond basic operations and identify the hidden logic that connects the numbers.

18, 46, 94, ?, 52, 61

A plane crashed between the border of Mexico and America. Where do you bury the survivors?

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?

I get hot but I never sweat,
I cook food but I am not a chef,
I have a door but you can't enter me,
I have a light but I am not a lamp.
Who am I?

Next Number in the Series,

5, 16, 49, 104, ?

Identify The phrase in the picture.

There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS