Can you find a number that lies one third of the distance between 1/3 and 2/3?

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?

There was a strange boy who was born before his father. How can this be possible?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

John is selling fruits.
He sells grapes at $30, Dates $25, and a Wolfberry $45.
At what price does he sell fig?

PS: Logical Thinking

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

I am dry when I go inside, but wet when I am pulled outside.
The longer I am inside, the stronger I get
When I am completely out, I am wet and I literally sag
Who am I?

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?

On the dull night when the blonde was dozing, she heard an odd clamour and she saw that there was a bizarre man with a gun simply outside her home. So she raced to the telephone to call the police, however, she can't dial 911. Why?

My friends called me Iron59 because my parents are a chemist and a mathematician. What is my real name?