I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.

Can you find out the number ?

A man plots the murder of his wife. His plan is full proof. Nobody saw them leaving their house. He stabbed her with a knife while driving. She died on the spot. He threw her body in a valley. He threw the knife carefully wiping his finger prints on a random garbage bin. Then he went back to his home and no one was watching him this time as well.

After an hour, he was called by the local police department who informed him that his wife was murdered. They asked him to reach the scene of crime immediately. But as soon as he arrived at the crime scene, he was arrested by them.

How did the police know that he himself is the murderer?

I look at you, you look at me, I raise my right, you raise your left. What am I?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

There is something which is always coming but never arrives?

They do not possess flesh or feathers or scales or bone
But still, they are blessed with fingers and thumbs of their own.

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?

Chef Andrea has to light the kitchen stoves to open her restaurant for the day. There are three stoves in the kitchen: A glass stove, a brick stove, and a wood stove. She only has one match. Which does she light up first?