How do you go from 98 to 720 using just one letter?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Can you find the odd number in the following?

2716, 4135, 5321 and 7145

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?

You knock a Table over in the library, and suddenly 20 eyes are looking at you.

There is an exact a week gap between Christmas and New Year. Hence, It is obvious that the new year that comes right after Christmas comes on the same day of the week.

A Strange thing happened in the Year 1777. Christmas occurs on Wednesday and New Year on Monday. How is that possible?

Doctor Alex and a bus driver John are both in love with the same woman named Olivia. The bus driver need to go for a long trip of 10 days, Before he left he gave Olivia 10 apples.

If 1+9+8=1, what is 2+8+9?

What is the next number in the series?

15 29 56 108 208 ?

Can you solve below mathematical equation?

2^1234 - 2^1233