what does this below rebus represent identXQQQQQME

I am a word that begins with the letter “i.” If you add the letter “a” to me, I become a new word with a different meaning, but that sounds exactly the same. What word am I?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

I am an odd number. Take away a letter and I become even. What number am I?

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

There is something which you can be arrested for attempting but not for successfully completing.

Rihana, Peeta, and Logan order a pizza for $10. Out of the three, Rihana and Peeta were quite hungry and ate 6 slices a piece, while Logan had just 2 slices.

Now, they want to split the cost among them fairly but due to the lack of change, they decide to round off the cost to the nearest possible dollar.

Can you find out the fairway which should be used to split the money?

What if the pizza was worth $11?

13 decks of cards have been mixed. What is the minimum number of cards that must be taken out from the above-mixed cards to guarantee at least one 'four of a kind?

There is a straight highway. Four different villages lie on that highway. The distance between them is different. The third village is 60km away from the first village; the fourth is 40 km away from the second; the third is 10 km near to the fourth that it is to the second.

Can you calculate the distance between the fourth and the first village ?