Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

A swan sits at the center of a perfectly circular lake. At an edge of the lake stands a ravenous monster waiting to devour the swan. The monster can not enter the water, but it will run around the circumference of the lake to try to catch the swan as soon as it reaches the shore. The monster moves at 4 times the speed of the swan, and it will always move in the direction along the shore that brings it closer to the swan the quickest. Both the swan and the the monster can change directions in an instant.
The swan knows that if it can reach the lake's shore without the monster right on top of it, it can instantly escape into the surrounding forest.

How can the swan successfully escape?

What is the coolest letter in the alphabet?

What's the only room from which no one can enter or leave

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

Next Number in the Series,

5, 16, 49, 104, ?

The following sentence is false. The preceding sentence is true.
Are these two sentences true or false?

What has one letter and starts with an E?

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?

In order to complete the racing competition, the Mexico racetrack has to submit its top and the most famous three horses to win the competition. Due to an electrical storm, all the records are cleared and no one knows which horse holds the record. They all look identical and it becomes even more difficult to differentiate the horses. There are 25 horses in the Mexico racetrack. But there can be only five horses at a time on the track. What will the least number of races that can be conducted to find out the three fastest horses?