You may also like

problem icon

14 Divisors

What is the smallest number with exactly 14 divisors?

problem icon

Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

problem icon


Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

Weekly Problem 35 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1
The first person cannot be telling the truth since if all the others are knaves, this contradicts that they are telling the truth when they say the person in front is a knave.
The second person says the first is a knave so is telling the truth; he is a knight.
The third says this knight is a knaveso he is lying; he is a knave. Continuing in this way we see that there is an alternating sequence of 13 knaves and 12 knights.

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem