If eleven plus two equals one, what does nine plus five equal?

I know a nine-letter word having only one vowel.
Do you ?

There is a barrel with no lid and some wine in it. 'This barrel of wine is more than half full,' said Curly. 'No it's not,' says Mo. 'It's less than half full.' Without any measuring implements and without removing any wine from the barrel, how can they easily determine who is correct?

Count the number of times the letter "F" appears in the following paragraph:

FAY FRIED FIFTY POUNDS OF
SALTED FISH AND THREE POUNDS
OF DRY FENNEL FOR DINNER FOR
FORTY MEMBERS OF HER FATHER'S FAMILY.

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

Can you solve below mathematical equation?

2^1234 - 2^1233

Can you convert the number zero(0) into a positive number using just one mathematical operator ?

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 ?