I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

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

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Find the last number in the series below:

voN luJ yaM raM ---

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

The following "Brain Bat" means Slow Down.
S
L
O
W

Using the same logic, can you tell us what does the following Brain Bat means ?
E
V
I
G

What number divided by 4 is the same as that number minus 4?

I am a word of 12 alphabets.

* Alphabets 12, 4, 7, 2, 5 : Eastern beast of burden
* Alphabets 1, 8, 10, 9 are street made famous by Sinclair Lewis.
* Alphabets 11, 3, 6 are past.

On whole it means a person suffering from delusions of greatness.

What Is it ?