Puzzle 197
I started a journey to my Aunt's yesterday with a full tank of gasoline, 10 gallons, but at that exact moment my gasoline tank sprang a leak.
I managed to drive 50 miles, in exactly one hour, before coming to a complete stop with an empty tank.
I know that the car manages 25 miles per gallon.
How quickly was I losing gasoline?
Puzzle Copyright © Kevin Stone
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Hint
How many gallons did the journey use?
Answer
8 gallons an hour.
Reasoning
I travelled 50 miles in one hour, at 25 miles per gallon this must have used 2 gallons.
So I must have lost the other 8 gallons through the hole.
Puzzle 198
A local school teacher wanted to share 703 sweets equally between the pupils.
If there were more than 20, but fewer than 50 pupils, how many sweets did each receive?
Puzzle Copyright © Kevin Stone
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Hint
What numbers divide into 703?
Answer
The 37 pupils each received 19 sweets.
Reasoning
703 can only be broken down into 19 x 37, it has no other factors.
Puzzle 199
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
Puzzle 200
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
1D
2D
2L
1L
1L
1L
1U
2R
2L
2D
1D
1R
2D
3R
5R
2D
2L
1R
1U
4D
2D
1R
2R
3L
2U
2D
1D
2U
1U
2D
1D
1L
1U
2L
6R
1U
4U
E
1D
3L
2L
2U
1U
2L
2L
1R
2L
6U
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 1U which is on the 5th row and the 6th column.
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