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?

In a mathematical quiz, you are asked the following question:

Use three 9s in a mathematical expression without dividing or multiplying to form the number one.

Can you answer the question?

What begins with T, ends with T, and has T in it?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

John went to a parrot shop in Mexico, and the parrot owner told him that his parrot is so unique that he repeats everything he hears. John got excited and immediately bought the parrot. John went home and spoke many words, but the parrot does not repeat anything.
He went again to the parrot shop and complaint to the shopkeeper, but the shopkeeper never lied. Explain?

I know a ten-letter word in the English language which can be typed using only the top rows of the computer keyboard.

With the help clues provided in the image, can you find the 5 digit key?

What is red and smells like blue paint?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?