What is both possible and impossible at the same time?

I went to the bookshop and spent one-half of the money that was in my purse.

When I came out, I found that I had as many cents as I had dollars and half as many dollars as I had cents when I went in. Find the money in my purse when I entered the store.

John left on a horse on Thursday , was gone for two days, and came back on Thursday after completing his work. How did that happen?

How many times do a clock's hands overlap in a day ?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

People put me on the table and cut me but do not eat me. What am I?

A rain drop fell from one leaf to another leaf and lost 1/4th of its volume. It then fell to another leaf and lost 1/5th of the volume. It again fell on another leaf and lost 1/5th of the volume.



This process kept repeating till it fell on the last leaf losing 1/75th of its volume.



Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf accurate up to two decimal places?

If 21x = 79x, what is the value of x?

Why are televisions attracted to people?

Identify Me

Hint1: I am a god
Hint 2: I am a planet
Hint 3: measurer of heat