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?

Rearrange the letters in "new door" to make one word.

I am the largest in my family of fifty.
The youngest of our family lives separately from the rest of the family and so do I.
I am regarded as harsh and tough.
I am so large, you cut me in two equal halves,
each half would still be larger than the second largest member of the family.
Who am I?

Doctor Alex and a bus driver John are both in love with the same woman named Olivia. The bus driver need to go for a long trip of 10 days, Before he left he gave Olivia 10 apples.

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

What is black when you buy it, red when you use it, and gray when you throw it away?

After a heavy Thanksgiving meal, the night watchman went to work. In the morning, he told his boss he had dreamed that a saboteur planted a bomb in the factory and that he felt it was a warning. The boss promptly fired him. Worker confused, Why boss fire him?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?