The results of a recent Chess tournament between five close rivals is described below:
Dale finished before Alex. Emery finished after Bailey. Alex finished before Chris. Emery finished after Dale. Bailey finished before Alex. Dale finished after Bailey. Chris finished before Emery.
Who finished where?
Hint
Try rewriting each statement so that they are all 'finished before' statements instead.
Answer
Bailey won …
… then Dale, Alex, Chris, and Emery.
Reasoning
By placing the person who finished higher to the left, we have:
Dale finished before Alex (Dale > Alex)Emery finished after Bailey (Bailey > Emery)Alex finished before Chris (Alex > Chris)Emery finished after Dale (Dale > Emery)Bailey finished before Alex (Bailey > Alex)Dale finished after Bailey (Bailey > Dale)Chris finished before Emery (Chris > Emery)
From (1) and (3):
Dale > Alex > Chris
Adding (7):
Dale > Alex > Chris > Emery
Adding (6):
Bailey > Dale > Alex > Chris > Emery
Which is the final placing for all the players, and can be double-checked with the remaining clues.
?
Puzzle 3
Starting with any number on the top row, make your way to the bottom, adding the numbers as you go.
Each time you must move to the next row, but you can move either straight down, or one place to the left or right.
What is the highest total you can make? What is the lowest?
1
5
1
5
1
5
3
3
2
3
3
4
2
3
4
4
3
2
2
2
3
2
2
4
2
2
4
3
4
2
4
4
4
4
2
3
Note: this puzzle is not interactive, and the numbers cannot be clicked.
