How many words can a pen with half refill write?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

What does this rebus mean?

O
N
C
E
TIME

What is the longest word in the dictionary?

John was visiting his friend Jacob. He found out that his friend's wife had just killed a burglar in self-defense.
John asks Jacob about what happened and he told that "His wife was watching television when suddenly the bell rang. She thought that it is her husband Jacob but she found the burglar who attacked her instantly and she got so frightened that she killed the burglar immediately with the knife.
John asked the police to arrest his friend's wife. Why?

Find three whole, positive numbers that have the same answer when multiplied together as when added together.

A family is trapped in a jungle. There is a bridge which can lead them to safety. But at one time, the bridge can only allow two people to pass through. Also, all of them are afraid of the dark and thus, they can't go alone.

Father takes 1 minute to cross, the mother takes 2 minutes, the son takes 4 and the daughter takes 5 minutes. While crossing the time taken will be according to the slower one. How can they all reach the other side in the minimum possible time?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

It's a protector.
It sits on a bridge.
One individual can see directly through it, while others wonder what it hides.

What is it?