Puzzle 281
What value of X makes the following correct:
Puzzle Copyright © Kevin Stone
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Hint
The answer is a whole number less than 10.
Answer
3.
Reasoning
We can multiply throughout by 12,
X X X X
- - - + - = -
X 2 4 12
to give:
12 − 6X + 3X = X
12 − 3X = X
12 = 4X
3 = X
As required.
Double-Checking
3 3 3 3
- - - + - = -
3 2 4 12
1 − 1.5 + 0.75 = 0.25
0.25 = 0.25, which confirms that 3 is correct.
Puzzle 282
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: S C H O O L
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Alan Stillson and Frank Longo
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Hint
Row 2's missing letter is L.
Answer
O
J
Y
S
E
K
A
L
M
C
E
O
R
A
H
P
Across: JOYS, LAKE, COME, HARP
Down : MORE, JACK, YEAH, SLOP
Boxes : JOKE, LAYS, CRAM, HOPE
Other anagrams of these words are OK as long as they don't change the answer grid.
Puzzle 283
This BrainBashers safe has a rather unusual control panel.
In order to open the safe, you have to press every single square once only, in the correct sequence, ending on the square marked E .
Each square indicates which square to press next, for example, 2U means move up 2 squares and 3R means move right 3 squares.
Can you determine which square you must start with?
1D
6D
2R
3R
3L
5D
1L
1R
E
1U
3R
1R
3L
2D
2U
1D
2L
2U
1L
2D
1L
2D
2R
1D
3L
2U
3L
1D
1R
1D
2R
2D
1L
2D
1D
3R
1R
3U
4U
2U
1L
1D
2U
1R
2L
1R
4U
3U
4U
Note: this puzzle is not interactive, and the safe buttons cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
Start on any square, and see how far you can get.
Answer
Start from the 1D on the third row down and the second column across.
Puzzle 284
Painter Pete, our local DIY expert, is renovating the local hospital.
He has to number each of the rooms in the hospital with plastic numbers.
However, he has run out of the number 9.
Unfortunately, he has no spare 6's available, which certainly would have been useful.
How many 9's must Pete buy in order to number all 1,000 rooms?
Puzzle Copyright © Kevin Stone
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Hint
Don't forget the extra 9's in 90, 91, etc.
Answer
300.
Reasoning
Start with: 9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 – which is 20 9's.
We then repeat this for 100, 200, 300, up to 900 – which is 200 9's.
But from 900 to 999 we have an extra 100 9's as each starts with a 9.
So the total is 300.
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