The BrainBashers Speed Skating championship was recently completed, however, the computer storing the results suffered from a power cut!
Using the following snippets of information, can you work out who finished where, their ages (18, 21, 24, and 28), and the colour they wore?
The youngest, who didn't wear blue, won the championship. Jesse was three years younger than the person who wore red. Kelly performed well to finish in second place. Logan wore green, and Max was the oldest competitor. The person who wore yellow was younger than Kelly. The person who came last was 21.
Answer
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
Reasoning
By (1), the 18-year-old won the championship.
By (3), Kelly finished second.
By (6), the person who came last was 21.
#1 18
#2 Kelly
#3
#4 21
By (4), Max was the oldest competitor at 28, and can only have finished third. Which means that Kelly must have been 24.
#1 18
#2 Kelly 24
#3 Max 28
#4 21
By (2), the person who wore Red can only be 21 or 24, so Max can't have worn Red. Max didn't wear Green (4), and didn't wear Yellow (5), so Max must have worn Blue.
#1 18
#2 Kelly 24
#3 Max Blue 28
#4 21
By (5), Kelly didn't wear Yellow, and by (4) didn't wear Green, so must have worn Red.
#1 18
#2 Kelly Red 24
#3 Max Blue 28
#4 21
By (2), Jesse was 21. Which means that Logan was 18.
#1 Logan 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse 21
By (4), Logan wore Green. Which means that Jesse wore Yellow.
#1 Logan Green 18
#2 Kelly Red 24
#3 Max Blue 28
#4 Jesse Yellow 21
??
Puzzle 58
Last week I decided to cycle to my Grandparents's house.
On the 1st day, I cycled half of the distance.
On the 2nd day, I cycled one half of the remaining distance.
On the 3rd day, I cycled three quarters of the remaining distance.
On the 4th day, I cycled 10 miles.
On the 5th day, I cycled two thirds of the remaining distance.
Four friends were competing in the internationally renowned BrainBashers Bog Snorkelling competition.
As usual, the judges were a little careless and, once again, they managed to lose the results.
Luckily, a number of spectators were able to remember the following snippets of information:
Only one person wore the same number as the position they finished. Gary, who didn't wear green, beat Barry. Larry beat the person who wore yellow. The person who wore number 3, wore green. The person who wore number 2 finished first, whereas Harry came last. The person who finished second wore green, Barry wore yellow, and the person wearing red beat the person wearing blue.
Can you work out who finished where, and the number and colour they wore?
Hint
Start by looking at clue (5), and then at the first part of clue (6).
Answer # Name Wore Colour
1 Gary 2 red
2 Larry 3 green
3 Barry 1 yellow
4 Harry 4 blue
Reasoning
By (5), the winner wore #2, and Harry finished last: # Name Wore Colour
1 2
2
3
4 Harry
By (6), the person who finished second wore green, and by (4), wore #3: # Name Wore Colour
1 2
2 3 green
3
4 Harry
By (1), only the person in last place could have worn the same number as the position they finished: # Name Wore Colour
1 2
2 3 green
3 1
4 Harry 4
By (3), Gary didn't wear green (so can't have finished second) and beat Barry (so can't have finished third), which means that he must have finished first. # Name Wore Colour
1 Gary 2
2 3 green
3 1
4 Harry 4
By (6), Barry wore yellow, so must have finished third: # Name Wore Colour
1 Gary 2
2 3 green
3 Barry 1 yellow
4 Harry 4
By (6) the person wearing red beat the person wearing blue, giving: # Name Wore Colour
1 Gary 2 red
2 Larry 3 green
3 Barry 1 yellow
4 Harry 4 blue
At last year's BrainBashers snail race, 10 fine snails completed the tabletop course.
Predictably, as per every year, the results mysteriously went missing.
However, various spectators remembered the following snippets of information:
Orange Berry lost to Zebra Wings. Zebra Wings beat Orange Berry, Frog Flippers and Apple Pie. Fizzy Pop lost to Minty Mouth, Orange Berry and CD Player. Frog Flippers beat Windy Hill, CD Player and Orange Berry. Top Hat lost to CD Player, Kipper Slippers and Apple Pie. CD Player beat Top Hat and Fizzy Pop. Apple Pie lost to Zebra Wings and Orange Berry. Kipper Slippers lost to Apple Pie and Frog Flippers. Frog Flippers beat Fizzy Pop, Minty Mouth and CD Player. CD Player lost to Frog Flippers, Kipper Slippers and Apple Pie. Top Hat beat Fizzy Pop and Windy Hill. Minty Mouth lost to Windy Hill and Orange Berry. Windy Hill lost to Apple Pie and CD Player.
Can you work out who finished where?
Hint
Who finished first? Start with Clue 2, and then Clue 4.
Answer
Zebra Wings (ZW)
Frog Flippers (FF)
Orange Berry (OB)
Apple Pie (AP)
Kipper Slippers (KS)
CD Player (CP)
Top Hat (TH)
Windy Hill (WH)
Minty Mouth (MM)
Fizzy Pop (FP)
Reasoning
If we number the clues, write each name using two letters, and rewrite the clues so that those who finished ahead are written first:
ZW beat OB.ZW beat OB, FF and AP.MM, OB and CP, all beat FP.FF beat WH, CP and OB.CP, KS and AP, all beat TH.CP beat TH and FP.ZW and OB both beat AP.AP and FF both beat KS.FF beat FP, MM and CP.FF, KS and AP, all beat CP.TH beat FP and WH.WH and OB both beat MM.AP and CP both beat WH.
By (2): ZW FF
By (4): ZW FF OB
By (7): ZW FF OB AP
By (8): ZW FF OB AP KS
By (10): ZW FF OB AP KS CP
By (5): ZW FF OB AP KS CP TH
By (11): ZW FF OB AP KS CP TH WH
By (12): ZW FF OB AP KS CP TH WH MM
By (3): ZW FF OB AP KS CP TH WH MM FP