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
??
Puzzle 48
Can you add two lines to complete this sequence of towers?
Note: this puzzle is not interactive, and cannot be clicked.
Answer
Add the two lines to the second tower from the left to complete the 'X' in the inverted letter sequence U, V, W, X, Y forming the towers' roofs.