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

I am quite hot but become too cold if you remove the first two letters. What am I?

Can you decipher the following common phrase?

T M C
A U O
H S M
W T E

He runs but never walks. Murmurs, but never talks. Has a bed, but never sleeps. And has a mouth, but never eats?

In a rainy season, one day 3 huge ladies walked under a normal-sized umbrella.
The umbrella is not huge enough to accommodate all 3 ladies yet not a single lady got wet. Why?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

Find the missing number in the sequence below:

John and Jill are madly in love with each other. To remind Jill of his pure love, John wants to send her a ring by post but in their country where burglary is quite prominent, any package that is not locked comes under the risk of being stolen for the contents.

John and Jill possess many padlocks but neither one of them has the other key.

Can you find a way John can send the ring to Jill safely?

The more you take me, the more you leave me behind.
Who Am I?

Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?