Puzzle 37
During the recent BrainBashers cipher convention, a binary code contest took place.
The contest consisted of a binary code transmission where the spaces between the letters were missing and there was no punctuation.
Each letter of the alphabet was translated into its binary equivalent based on its position in the alphabet. The resulting code was then blocked in groups of five digits.
a=1, b=10, c=11, d=100, e=101, f=110, g=111, h=1000, i=1001, j=1010, k=1011, l=1100, m=1101, n=1110, o=1111, p=10000, q=10001, r=10010, s=10011, t=10100, u=10101, v=10110, w=10111, x=11000, y=11001, z=11010
Can you find 10 countries?
10101 10000 11110
10111 11100 10110 011
10000 11111 10011 11010 0
11010 01011 11011 101
11100 01001 11001 01
11011 11110 01011 11111 11111
11010 11101 10100 11
10100 11111 11011 11
10000 11110 11101 1
11011 11111 10111 11111 10010 011
Puzzle Copyright © Kevin Stone
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Hint
The first letters are C, F, J, M, M, P, P, T, W, Z (but not necessarily in this order).
Answer
Japan = 1010 + 1 + 10000 + 1 + 1110
Wales = 10111 + 1 + 1100 + 101 + 10011
Poland = 10000 + 1111 + 1100 + 1 + 1110 + 100
France = 110 + 10010 + 1 + 1110 + 11 + 101
Chile = 11 + 1000 + 1001 + 1100 + 101
Morocco = 1101 + 1111 + 10010 + 1111 + 11 + 11 + 1111
Zambia = 11010 + 1 + 1101 + 10 + 1001 + 1
Tonga = 10100 + 1111 + 1110 + 111 + 1
Panama = 10000 + 1 + 1110 + 1 + 1101 + 1
Mongolia = 1101 + 1111 + 1110 + 111 + 1111 + 1100 + 1001 + 1
Puzzle 38
Each of these sets of arrows represents a word – what are the words?
Puzzle Copyright © Kevin Stone
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Share Link – www.brainbashers.com/puzzle/zeeg
Hint
Where else might you see arrows and letters together?
Answer
See, new, sense, sew, ewe.
The arrows represent the compass directions N, E, S, and W.
Puzzle 39
Here is a curious grid! The sums of the shapes are shown at the end of each row, and at the bottom of each column.
What is the missing sum, and what is each shape worth?
Puzzle Copyright © Kevin Stone
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Hint
Look at the first and third columns first.
Answer
40.
Circle = 12
Star = 3
Square = 7
Triangle = 9
Reasoning
Looking at Column 1 and Column 3 we have:
[1] Square + Star + Circle + Square = 29
[2] Square + Square + Triangle + Star = 26
If we subtract [1] - [2] we get:
[3] Circle - Triangle = 3
And Row 3 is:
[4] Circle + Circle + Triangle + Circle = 45
If we add [3] + [4] we get:
Circle + Circle + Circle + Circle = 48
So Circle = 12.
Using [3] we find that Triangle = 9.
Using Column 2 we find that Star = 3.
Using Row 1 we find that Square = 7.
Double-Checking
The rows add to: 35 + 26 + 45 + 25 = 131.
The columns add to: 29 + 36 + 26 + 40 = 131.
The rows and columns must add to the same number, so this could have been used a shortcut to the missing sum.
In total, there are:
5 Squares = 5 x 7 = 35
5 Circles = 5 x 12 = 60
3 Stars = 3 x 3 = 9
3 Triangles = 3 x 9 = 27
Which is also a total of 131.
So all of the totals are the same, as expected.
Puzzle 40
What number comes next in this sequence:
914275 94275 9475 975 {?}
Puzzle Copyright © Kevin Stone
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Share Link – www.brainbashers.com/puzzle/zigy
Hint
Take a close look at the digits.
Answer
97.
Reasoning
The lowest digit is removed each time.
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