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?

It has horns but can’t beep. It is like to bleat but It is not a sheep. What is it?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

I am a five-letter word under you,
Remove the first letter and I am above you,
Remove the second as well and I am around you.

Who am I?

You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.

You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

John and his wife were living in a rural place. On a particular day, John's wife fell ill and he called the local doctor. When the doctor picked up, he said, "Doctor, my wife is ill. She might have appendicitis."

"This can't be possible! I took out her appendix two years ago myself," the doctor explained.

When diagnosed, John's wife was found to have appendicitis. How can this be possible?

Replace the question mark with the number below given a simple math problem.

What can go up a chimney down, but can’t go down a chimney up?

Can you name some countries which do not have the alphabet 'A' in them?