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?

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?

What kind of band never plays music?

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

Replace the question mark with the correct number in the below-given picture?

Forwards I am heavy, backward I am not. What am I?

Why is a river so rich ?

P is the father of Q and S is the son of R. T is the brother of P and has a daughter U. If R is the sister of P, then what is the relation between U, Q and S?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?