I never stop running even when I standstill. If I am formed by joining two identical bodies together, can you guess who I am?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

During which month do people sleep the least?

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

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?

I have an eye but still cannot see.

Who am I?

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

PS: You may start the number from 0.

What have one eye but still cannot see?

Can you make a six-letter word using the letters N, A and B ?

Can you solve the photo plexer logic ?