Puzzle 149
Hidden below are eight, 7-letter words.
Each word begins with the central S and you can move one letter in any direction to the next letter.
Each of the letters is used exactly once.
What are the words?
| G |
N |
L |
K |
R |
T |
E |
| E |
I |
E |
O |
X |
A |
E |
| K |
R |
N |
I |
H |
M |
N |
| E |
A |
Y |
S |
E |
A |
P |
| R |
E |
P |
P |
A |
W |
O |
| N |
E |
A |
G |
U |
E |
O |
| R |
N |
E |
S |
A |
D |
E |
Note: this puzzle is not interactive, and the letters cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
One of the words is SAUSAGE.
Answers
Sixteen, shampoo, seaweed, sausage, spanner, speaker, syringe, snorkel.
Puzzle 150
These five words are connected somehow, which word is missing?
origami
reptilian
{?}
nuclei
gliding
echo
Choose from:
albatross, approved, bingo, furtive, pedalled, zebra
Puzzle Copyright © Kevin Stone
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Hint
The words are linked by their letters.
Answer
Approved.
The initial letters spell ORANGE and the last letters spell INDIGO.
Puzzle 151
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 = 43.9696761...
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 152
We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days.
By this, I mean that the temperature rose by the same amount each day.
The average temperature was 2 °C, and I know it froze on two occasions (0 °C).
I also know the product of the temperatures was over 500 but below 2,000 and each temperature was an integer.
What were the last 5 temperatures?
Puzzle Copyright © Kevin Stone
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Hint
What must the middle temperature be? Remember that the temperature are in degrees Celsius.
Answer
The temperatures were -6, -2, 2, 6, 10 °C.
Each day increased by a steady 4 degrees.
Reasoning
As the temperature rose steadily each day, we know that the middle temperature (Day 3) was 2 degrees (because the average was 2 degrees).
Since Day 3 was 2 degrees, and there were two negative temperatures, we know that the daily increase must have been at least 3 degrees (otherwise Day 2 would not have been negative).
If we check a daily increase of 3 degrees, the sequence would be -4, -1, 2, 5, 8, but this doesn't work as the product is less than 500.
If we check a daily increase of 4 degrees, the sequence would be -6, -2, 2, 6, 10, which does matches all of the requirements.
If we check a daily increase of 5 degrees, the sequence would be -8, -3, 2, 7, 12, but this doesn't work as the product is more than 2000.
Any larger increase makes the product even larger, so we can stop checking.
So the only possible answer is -6, -2, 2, 6, 10.
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