Puzzle 1
If I can boil 2 eggs in 10 minutes.
How long will it take me to boil 5 eggs?
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Hint
Be careful with your thinking.
Answer
Exactly the same time!
Puzzle 2
Classical Collection - Logic Puzzles
In my collection of classical music, I have a range of pieces that last 6, 7, 8 and 9 minutes.
The piece by Bach lasts 8 minutes, and the CD lasts longer than the piece by Holst.
The piece on DAT tape is longer than the piece by Beethoven.
The single lasts 7 minutes, and the album does not contain any Holst.
The piece by Butler is on the DAT tape.
Can you determine which piece of music is in which format, and how long each lasts?
Puzzle Copyright © Kevin Stone
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Hint
Look at the piece by Bach, and the single.
Answer
Composer Format Length
Beethoven album 6
Holst single 7
Bach CD 8
Butler DAT 9
Reasoning
By (1), the piece by Bach lasts 8 minutes. By (3), the single lasts 7 minutes.
Composer Format Length
6
single 7
Bach 8
9
By (4), the piece by Butler is on the DAT tape. But, by (2), this can't be the shortest, so it must be 9 minutes long.
Composer Format Length
6
single 7
Bach 8
Butler DAT 9
By (1), the CD can't be the shortest, so must be 8 minutes long.
Composer Format Length
6
single 7
Bach CD 8
Butler DAT 9
The album must therefore be 6 minutes long, and by (3) doesn't contain any Holst.
Composer Format Length
album 6
Holst single 7
Bach CD 8
Butler DAT 9
Which means that the album was the piece by Beethoven.
Composer Format Length
Beethoven album 6
Holst single 7
Bach CD 8
Butler DAT 9
Puzzle 3
Marathon Warm-up - Logic Puzzles
After the recent BrainBashers annual marathon, the judges were comparing notes to determine who finished where. From their notes, can you help them reconstruct the final result?
Max Merrymood beat Toby Trent and Jesse Jackson.
Pat Piper beat Jesse Jackson, Toby Trent, and Alex Ardle.
Zeb Zebra lost to Pat Piper.
Glenn Goodfellow beat Toby Trent
Zeb Zebra beat Frankie Flint.
Glenn Goodfellow lost to Frankie Flint and Pat Piper.
Toby Trent beat Billie Brick.
Alex Ardle beat Zeb Zebra, Kelly Kingfisher, and Glenn Goodfellow.
Kelly Kingfisher lost to Glenn Goodfellow and Max Merrymood.
Billie Brick beat Kelly Kingfisher.
Max Merrymood lost to Alex Ardle and Zeb Zebra.
Frankie Flint beat Toby Trent, Max Merrymood, and Billie Brick.
Toby Trent lost to Jesse Jackson and Alex Ardle.
Jesse Jackson beat Glenn Goodfellow and Billie Brick.
Puzzle Copyright © Kevin Stone
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Hint
Try rewriting the clues so that those who finished ahead are written first.
Answer
Pat Piper (P)
Alex Ardle (A)
Zeb Zebra (Z)
Frankie Flint (F)
Max Merrymood (M)
Jesse Jackson (J)
Glenn Goodfellow (G)
Toby Trent (T)
Billie Brick (B)
Kelly Kingfisher (K)
Reasoning
If we number the clues, write each name using a single letter, and rewrite the clues so that those who finished ahead are written first:
M beat T and J
P beat J, T, and A
P beat Z
G beat T
Z beat F
F and P beat G
T beat B
A beat Z, K, and G
G and M beat K
B beat K
A and Z beat M
F beat T, M, and B
J and A beat T
J beat G and B
By (2): P A
By (8): P A Z
By (5): P A Z F
By (12): P A Z F M
By (1): P A Z F M J
By (14): P A Z F M J G
By (4): P A Z F M J G T
By (7): P A Z F M J G T B
By (10): P A Z F M J G T B K
Puzzle 4
Triathlon - Round 1 - Logic Puzzles
During the latest round of the BrainBashers school triathlon the final results were mislaid, however, this is what we do know.
Hayden was fourth.
Alex was not the oldest but was older than Drew, who was not second.
The child who was next in age to the youngest, finished second.
The child who finished in third place was older than the child who finished first.
Billie was younger than the child who finished in third place.
Can you determine who finished where and place the children in order of age?
Puzzle Copyright © Kevin Stone
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Hint
Start by finding out who the oldest is.
Answer
# Name Age
#1 Drew youngest
#2 Billie next to youngest
#3 Alex next to oldest
#4 Hayden oldest
Reasoning
By (2), neither Alex nor Drew were the oldest. By (5), neither was Billie. Therefore, Hayden was the oldest, and by (1) came fourth.
#1
#2
#3
#4 Hayden oldest
By (4) the youngest didn't come third, and by (3) the youngest didn't come second. Therefore, the youngest came first.
#1 youngest
#2
#3
#4 Hayden oldest
By (3), the next to youngest came second, leaving the next to oldest in third.
#1 youngest
#2 next to youngest
#3 next to oldest
#4 Hayden oldest
By (2), Drew wasn't second, but Alex was older, so Drew can't be third either. Therefore, Drew can only have come in first.
#1 Drew youngest
#2 next to youngest
#3 next to oldest
#4 Hayden oldest
By (5) Billie didn't come third, so came second. Leaving Alex in third.
#1 Drew youngest
#2 Billie next to youngest
#3 Alex next to oldest
#4 Hayden oldest
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