Puzzle 157
My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:
Austria 1,800 miles
New Zealand 2,400 miles
Japan 1,200 miles
Brazil 1,400 miles
How far away did it list Argentina as?
Puzzle Copyright © Kevin Stone
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Hint
Vowels (AEIOU) and consonants are each worth a different number of miles.
Answer
2,200 miles.
Vowels (AEIOU) are worth 300 miles and consonants are worth 200 miles.
Double-Checking
Argentina has 4 vowels (AEIA = 4 x 300), and 5 consonants (RGNTN = 5 x 200), for a total of 1,200 + 1,000 = 1,200 miles.
Puzzle 158
School Reunion '62 – Logic Puzzles
During a recent school reunion, four friends were discussing their starting salaries.
The salaries in question were, 8, 10, 12 and 14 thousand pounds per year.
The MP earned the most.
Alex earned more than Billie and the doctor earned more than Drew, the vet.
Billie, the lawyer, did not start on £10,000 nor did Drew.
And Chris couldn't remember.
Can you determine who has which job and their starting salaries?
Puzzle Copyright © Kevin Stone
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Answer
Name Profession Salary
Alex MP £14,000
Billie lawyer £12,000
Chris doctor £10,000
Drew vet £ 8,000
Puzzle 159
What number comes next in this sequence:
1 4 8 13 21 30 36 ?
Puzzle Copyright © Kevin Stone
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Hint
Try writing the numbers out as letters.
Answer
45.
Reasoning
Each term increases by the number of letters in the previous term (ignoring any hyphens).
1 + length("ONE") = 4
4 + length("FOUR") = 8
8 + length("EIGHT") = 13
13 + length("THIRTEEN") = 21
21 + length("TWENTYONE") = 30
30 + length("THIRTY") = 36
36 + length("THIRTYSIX") = 45
Puzzle 160
After a day picking strawberries, I ended up with a full basket, which is always nice.
I ate 5, and then gave Alex half of the remaining.
I ate another 3, and then gave Billie one third of the remaining.
I ate another 6, and then gave Charlie two thirds of the remaining.
I now had 34 strawberries left. How many did I start with?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
335 strawberries.
Reasoning
Working backwards …
I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.
I ate 6 myself, so I had 108 before I ate those.
I had 108 strawberries, so I had 162 before giving Billie one third.
I ate 3 myself, so I had 165 before I ate those.
I had 165 strawberries, so I had 330 before giving Alex one half.
Ate 5 myself, so I had 335 before I ate those.
Therefore, I started with 335 strawberries.
Double-Checking
I started with 335.
I ate 5, leaving 330.
I gave Alex half (165), leaving 165.
I ate 3, leaving 162.
I gave Billie one third (54), leaving 108.
I ate 6, leaving 102.
I gave Charlie two thirds (68), leaving 34.
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