Fill the 5-gallon jug twice and empty it once into the 8-gallon jug, you will have 2 gallons left.

2 sons x and y cross; x returns.

Father crosses; y returns.

Two sons cross. 

Give a test for divisibility by 4 in the decimal system.

If  N = p^m.qⁿ (where p, q are prime numbers and m, n  are counting numbers), how many factors does N have?

If  N = p^k (where p is a prime number and k is a counting number), how many factors does N have?

In the early 1700's the city of Konigsperg, Gemany was connected by seven bridges. Many people in the city at that time were interested in finding if it were possible to walk through the city so as to cross each bridge. exactly once. 

In a class of 32 students various committees are to be formed. No student can be on more than one committee. Each committee contains from 5 to 8 students. What is the largest number of committees that can be formed?