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Difficulty: Hard

Puzzle 1

Complete the grid such that every row and column contains the digits 1 to 6.

All squares that are connected contain the same digit.

Puzzle Answer

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[Ref: ZBQB] © Johan de Ruiter
Visit for more Staircases Puzzles.

Difficulty: Hard

Puzzle 2

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


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[Ref: ZCGP] © Kevin Stone 

Difficulty: Hard

Puzzle 3

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 + 8 + 9, then there will not be another using the digits 1, 3, 8 and 9 (in any order).

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

Puzzle Image

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

Difficulty: Hard

Puzzle 4

PlaneMatthew 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

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[Ref: ZETP] © Rodins Ltd. 

Difficulty: V.Hard

Puzzle 5

Cipher MachineDuring 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?


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[Ref: ZYMX] © Kevin Stone 

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