Puzzle 141
What number comes next in this sequence:
986888
724864
143224
==??==
Puzzle Copyright © Kevin Stone
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Hint
The answer involves multiplication (for example, 9 x 8 = 72).
Answer
468.
Reasoning
If we split each line in the following way:
98 68 88
72 48 64
14 32 24
Each new line is generated by multiplying the digits two at a time and writing the result below.
For example, 9 x 8 = 72, so 72 appears directly below 98.
And 7 x 2 = 14, so 14 appears directly below 72.
Double-Checking
9 x 8 = 72 and 7 x 2 = 14.
6 x 8 = 48 and 4 x 8 = 32.
8 x 8 = 64 and 6 x 4 = 24.
Puzzle 142
Which month comes next in this sequence:
July June March May ?
Puzzle Copyright © Kevin Stone
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Hint
Look at the first letters.
Answer
November.
This is the next month in alphabetical order:
April, August, December, February, January, July, June, March, May, November, October, September.
Puzzle 143
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?
| 2R |
2R |
4D |
2D |
1R |
2D |
E |
| 2R |
1U |
3R |
2D |
1U |
4L |
3L |
| 1U |
1R |
4R |
2D |
1U |
2D |
2U |
| 3U |
5R |
2D |
3L |
1U |
3L |
2U |
| 2D |
2U |
2L |
2L |
1U |
2D |
1D |
| 3U |
2R |
1D |
2R |
1U |
2U |
6L |
| 6R |
3U |
2R |
2L |
1U |
2L |
2U |
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 2R on the sixth row down and the second column across.
Puzzle 144
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
Puzzle Copyright © Kevin Stone
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Hint
How many reservoirs can each drain in 36 hours?
Answer
7 hours and 12 minutes.
Reasoning
We can use a time that 12 hours and 18 hours both fit in to, in 36 hours:
6 large pipes can drain 3 reservoirs.
6 small pipes can drain 2 reservoirs.
Therefore, together, 6 large and 6 small pipes can drain 5 reservoirs.
36 hours ÷ 5 = 7.2 hours for one reservoir.
7.2 hours = 7 hours and 12 minutes for one reservoir.
