Puzzle 165
Using the letters AAAAEERRRRTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
One of the words is AREA.
Answer
S |
T |
A |
R |
T |
A |
R |
E |
A |
R |
E |
A |
R |
E |
A |
P |
Puzzle 166
What comes next in this sequence:
fawn bear lion mole {?}
Choose from:
seal, duck, stag, vole, wolf
Puzzle Copyright © Kevin Stone
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Hint
Don't look at the first letters.
Answer
Duck.
The second letters of each word are the vowels in alphabetical order, fAwn, bEar, lIon, mOle, dUck.
Puzzle 167
Can you find three consecutive even numbers that …
… total 85,008 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
42, 44, and 46.
Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.
We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.
And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.
Double-Checking
42 x 44 x 46 = 85,008.
Puzzle 168
Developer's Bowling Match - Logic Puzzles
At a recent bowling match, two games were played.
Kelly beat Sam in both games, and Reed beat Jamie in both games.
The winner in game 1 came second in game 2.
Reed won game 2, and Jamie beat Sam in game 1.
No player got the same placing twice.
Can you determine who finished where in each game?
Puzzle Copyright © Kevin Stone
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Hint
Where did Reed come in game 1?
Answer
Name #1 #2
Kelly 1 2
Reed 2 1
Jamie 3 4
Sam 4 3
Reasoning
In Game1, (Clue1) Reed beat Jamie, and (Clue3) Jamie beat Sam.
Game1: Reed, Jamie, Sam
Since (Clue3) Reed won Game2 , and (Clue4) no player got the same placing twice, Reed can't have won Game1, therefore Kelly did.
Game1: Kelly, Reed, Jamie, Sam
In Game2:
Reed won (Clue3).
Sam can't have come last again (Clue4).
Since Kelly beat Sam (Clue1), Sam can only have come third.
Game2: Reed, Kelly, Sam, Jamie
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