The peacock is a bird that does not lay eggs. How do they get baby peacocks?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

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?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?

What is the coolest letter in the alphabet?

Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
The cars maintain their speed till the leading car catches up with the last car and then every car stops. In this scenario, do you think of any point when the distance between any two pairs will again be x miles i.e. the pairs will be x distance apart at the same time ?

What four weights can be used to balance from 1 to 30 pounds?

Who is that with a neck and no head, two arms and no hands? What is it?

John is the son of Jacob.
So,
Jacob is the_____of John's father?