What is more useful when it is broken?

I have some blue and red sock in my drawer. I have a total of 4 socks. I pick 2 socks and the chance that I get a pair of red socks is 1/2.

What is the chance of picking a pair of blue socks?

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?

Four cars come to a four-way stop, each coming from a different direction. They can’t decide who got there first, so they all go forward at the same time. All 4 cars go, but none crash into each other. How is this possible?

As shown in the image, the nine Dogs are square fenced. By constructing just two square fences can you make sure that two Dogs cannot meet each other without crossing the fence?

Solve the equation in the image by looking at the pattern closely.

If you had a pizza with crust thickness 'a' and radius 'z', what's the volume of the pizza?

John killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

That attorney is my brother, testified the accountant.

But the attorney testified he didn't have a brother.

Who is lying?

What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?