Puzzle 45
Which of the shapes is identical to the first one?
There might be more than one.
Puzzle Copyright © Robert A. Hartmann
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Hint
Try to rotate them around in your head, but watch out for mirror images.
Puzzle 46
What number is...
...three-quarters of eight-ninths of one-half of 2001?
Puzzle Copyright © Kevin Stone
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Hint
Can the fractions be simplified?
Answer
667.
Reasoning
3 8 1
— of — of — of 2001
4 9 2
which simplifies to:
24
—— of 2001
72
which simplifies to:
1
— of 2001
3
Giving 667.
Puzzle 47
Drone Racing - Logic Puzzles
After the recent BrainBashers drone racing contest, the four contestants were congratulating each other.
Only one drone had the same race number as the position it finished in.
Adrian's drone wasn't painted yellow, or blue.
Andy's drone beat Avery's drone, whereas Alex's drone beat the drone with race number #1.
The drone painted green (Alex's) finished second, and the drone painted blue had race number #4.
The drone that had race number #3 was painted red, and beat the drone that finished third.
Avery's drone had race number #1.
Can you work out whose drone finished where, its race number, and the colour it was painted?
Puzzle Copyright © Kevin Stone
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Hint
Alex's drone finished second, so where did the red drone finish?
Answer
Pos Owner # Colour
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1 yellow
Reasoning
The four colours were: Blue, Green, Red, Yellow.
The four contestants were: Adrian, Alex, Andy, Avery.
By (4), second place was Green, and owned by Alex.
1
2 Alex green
3
4
By (5), Red beat third place, and since Green was second, Red must have been first (and had race number #3).
1 #3 red
2 Alex green
3
4
By (2), Adrian's drone was Red or Green, but we now know that Alex's drone was Green, so Adrian's drone was Red.
1 Adrian #3 red
2 Alex green
3
4
By (3), Andy beat Avery, so they were third and fourth respectively.
1 Adrian #3 red
2 Alex green
3 Andy
4 Avery
By (6), Avery's drone had race number #1.
1 Adrian #3 red
2 Alex green
3 Andy
4 Avery #1
By (1), second place must have had race number #2 (as first place had race number #3, and fourth place had race number #1).
1 Adrian #3 red
2 Alex #2 green
3 Andy
4 Avery #1
Which leaves third place with race number #4, and by (4) was Blue.
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1
Which leaves fourth place as Yellow.
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1 yellow
Puzzle 48
Which number, when written as a word, makes this true:
Cleverly, there are exactly {?} E's in this sentence.
Puzzle Copyright © Kevin Stone
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Hint
Does ONE work, does TWO work? How many E's are there already?
Answer
Twelve.
"Cleverly, there are exactly twelve E's in this sentence."
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