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Hard Puzzles


Difficulty: HardPuzzle 13

Puzzle IconComplete these common words by using all of the letters A to Z, each exactly once.

*e*er
**eue
**o
ma*
*p*a*e*
*erso*
***k*am*on
*ouse
*a*
*ur*
***igent

[Ref: ZCGP] © Kevin Stone

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Difficulty: HardPuzzle 14

Fill in the missing numbers with the digits 1 to 9. A diamond shape in the middle means that the four numbers around it add to 20.

Each uses a different way to add to 20, i.e. if there is already 1 + 3 + 7 + 9, then there will not be another using the digits 1, 3, 7 and 9 (in any order).

The same digit isn't allowed to touch, even diagonally.

Puzzle Image

[Ref: ZRSR] © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (195.08) and is used with permission.

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Difficulty: HardPuzzle 15

Puzzle IconMatthew Shelborn frequently has to travel for his company, which gives him a chance to meet many people from all parts of the USA. In April, Matthew flew to five different US cities on business and he flew a different airline each time. During each trip he chatted with the person next to him, and no two people he talked to were in the same profession.

From the information, can you determine the date Matthew made each flight (each was on a Monday exactly one week apart starting on April 2nd), the airline he flew, his destination, and the profession of the person who sat next to him on each flight?

1. Three consecutive flights were, in order from first to last, the flight Matthew took with WTA Airways, the flight where he sat next to the teacher, and the flight he took to Atlanta.

2. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle.

3. The week he flew Air Express was some time earlier in the month than the trip to Boston, which was some time earlier in the month than the trip where he sat next to the ballet dancer.

4. It wasn't on the trip to San Diego where Matthew sat next to the doctor.

5. Matthew didn't fly Skyways on his trip to Seattle, and he didn't fly WTA Airways on the trip where he sat next to the sports coach.

6. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer.

7. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.

Dates       : April 2nd, April 9th, April 16th, April 23rd, April 30th
Airline     : Air Express, Fly America, MidUSA Air, Skyways, WTA Airways
Destination : Atlanta, Boston, Chicago, San Diego, Seattle
Seat Mate   : Attorney, Ballet Dancer, Doctor, Sports Coach, Teacher

[Ref: ZETP] © Rodins Ltd.

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Difficulty: V.HardPuzzle 16

Puzzle IconDuring 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:

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.

What is the answer to the question being asked?

110011101001000100110011100110011110110
101100101100110010011101101001111010111
001010010000101011101011010110010110011
010010001111101011111000101001001101001
011111111010111001001000101110010000100
111010011100111011101100110011100111011
000011001011000110101101100111010010011
111111010111100011010010011001111111110
101100001100101011001111111110101

[Ref: ZYMX] © Kevin Stone

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