I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

Why 1729 is a magic number? Answer Logically.

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

Give it food and it will live; give it water and it will die.

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

How many letters are in the alphabet?

Known by all without exception, Forever here, for your protection, Sometimes strong, sometimes weak, Right after the night I come - hot and chic. And while millions of miles away, I always get to you, I find my way. No life around could do without me, Can you guess what I might be?

While going to your grandmother's house, you counted Twenty houses on the right side. While returning back to your home, you counted Twenty houses on the left side.

How many houses are there between your home and your grandmother's home?

Can you spot what's wrong with the following sentence?

PETER WAS ANGRY AT
HIMSELF BECAUSE HE
ACCIDENTALLY LEFT THE
THE KEYS TO HIS CAR
AT HIS FRIEND'S HOUSE.