Puzzle 5
What 5-digit number am I thinking of?
It has two prime digits.
Digit 3 is the highest digit.
Digit 2 is the lowest digit.
Digit 1 is higher than the sum of digits 4 and 5.
Digit 5 is half of digit 4.
Digit 1 is one smaller than digit 3.
Digit 5 is between digit 2 and digit 1
The digit 0 doesn't appear, and there are no duplicates. Don't forget that 1 isn't prime, the prime numbers start with 2, 3, 5...
Puzzle Copyright © Kevin Stone
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Hint
What can digits 4 and 5 be?
Answer
71842.
Reasoning
The number can be represented as:
- - - - -
By (5), Digit 5 is half of Digit 4, so we have four possibilities:
- - - 2 1
- - - 4 2
- - - 6 3
- - - 8 4
By (4), Digit 1 is higher than the sum of Digit 4 and Digit 5, so we can eliminate two possibilities, leaving:
- - - 2 1
- - - 4 2
By (7), Digit 5 is between Digit 2 and Digit 1, so we can eliminate - - - 2 1, leaving:
- - - 4 2
By (4), Digit 1 must be higher than the sum of Digit 4 and Digit 5, so we have three possibilities:
7 - - 4 2
8 - - 4 2
9 - - 4 2
By (6), Digit 1 is 1 smaller than Digit 3 we can eliminate 9 - - 4 2, and fill in Digit 3, leaving:
7 - 8 4 2
8 - 9 4 2
By (3), Digit 2 is the lowest digit, and must be 1:
7 1 8 4 2
8 1 9 4 2
By (1), the only possibility is:
7 1 8 4 2
Puzzle 6
What word goes in the brackets:
FOOD [ROAD] HARD
WEEP [----] FALL
Puzzle Copyright © Kevin Stone
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Hint
The letters come from the two words on the outside.
Answer
LEAP.
From the third letter of the second word, plus the third letter of the first word, plus the second letter of the second word, plus the fourth letter of the first word.
Puzzle 7
After a recent marathon, the following was noted.
Alex finished after Frankie.
Drew finished after Hayden.
Frankie finished after Billie.
Hayden finished before Alex.
Billie finished after Hayden.
Billie finished before Alex.
Frankie finished before Drew.
Alex finished before Drew.
Who finished where?
Puzzle Copyright © Kevin Stone
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Answer
Hayden
Billie
Frankie
Alex
Drew
Puzzle 8
At a picnic recently, I noticed that James liked chocolate but didn't like jelly.
Charles liked biscuits but didn't like custard.
Brian liked apples but didn't like biscuits.
Did David like doughnuts?
Puzzle Copyright © Kevin Stone
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Hint
Extra clue: Ellen liked shrimp, but didn't like eels.
Answer
No.
None of them liked food that started with the same letter as their name.
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