Puzzle 197
Can you find anagrams of the following words?
aspirate
alarming
bleating
decimate
creative
cheating
download
gradient
altitude
generate
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: P, M, T, M, R, T, W, T, L, T.
Answers
parasite
marginal
tangible
medicate
reactive
teaching
woodland
treading
latitude
teenager
Puzzle 198
There are three houses, and three utilities: water, gas, and electricity.
Your task is to connect each house to all three utilities.
Therefore, each house will have three lines, and each utility will also have three lines.
However, you cannot cross lines! You cannot pass lines through houses or utilities. You cannot share lines.
Can you draw the 9 lines required?
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Hint
Try starting with the water.
Answer
This puzzle is a classic one that has no solution in 2D.
However, if you place the items on a doughnut shape in 3D you can solve it.
In the picture below, the electricity is linked to House 3 by going over the top and re-entering through the hole in the middle.
Puzzle 199
Can you complete this grid of letters?
Each line is a valid 5-letter word with its first and last letters missing.
The missing letters form a word when read downwards, and the same word appears both at the start and at the end.
What is the missing word?
I
N
E
R
O
D
Y
L
O
O
A
S
E
A
T
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The first missing letter is D, giving DineD.
Answer
DENTS.
D
I
N
E
D
E
R
O
D
E
N
Y
L
O
N
T
O
A
S
T
S
E
A
T
S
Puzzle 200
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, as 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
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