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 ?

How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

In a basket of apples,
when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there was five extra.

However, if the apples were counted in sevens, no extra apple was left. Can you calculate the minimum number of apples that were present in the basket?

If you had a pizza with crust thickness 'a' and radius 'z', what's the volume of the pizza?

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

Before the start of the car race, John and Jacob have the same amount of fuel in their car. With this fuel, John can drive for 4 hours while Jacob can drive five hours.
After a time they realize that the amount of fuel left in John's car is 1/4th of the fuel in Jacob's.

For how long they are racing?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

what's the probability of getting a king or a queen from a pack of 52 cards?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?