What is more useful when it is broken?

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

What word is pronounced the same if you take away four of its five letters?

You find yourself in a strange place guarded by two guards.One of the guard always say truth while other always lies.You don't know the identity of the two.You can ask only one question to go out from there. What should you ask?

I have eight fingers and two thumbs but I do not live. What Am I?

You need to climb ten stairs. At every stair, you can either take one step up or you can jump two steps up.

In how many different ways you can climb 10 stairs?

How will you measure 15 minutes using two hourglasses of 7 minutes and 11 minutes respectively?

What has many keys but can’t open a single lock?

If,

A = 1

B = 2

C = 3

...

...

Z = 26.

Based on above rule, you need to find an eleven letter word whose letter sum is equal to 52.

Remove two matchsticks to make the below equation correct.