Difficult# KenKen Puzzles

GMAT-1X3FME

__Document 1: Rules for KenKen Puzzles__

Source: http://thinkmath.edc.org/resource/introducing-kenken-puzzles

Start with a 4x4 puzzle, like the one shown here.

The only numbers you may write are 1, 2, 3, or 4. (A 6x6 puzzle requires 1 through 6. An 8x8 puzzle, as will be seen in

Document 3, requires digits 1 through 8 to be used.) No numbers may appear more than once in any row or column. Each

“cage” (a region bounded by a heavy border) contains a target number. In a one-cell cage, just write the target number in

that cell. If there is more than one cell in the cage, the target is also accompanied by an arithmetic operation. You must fill

the cage with numbers that produce the target number, using only the specified arithmetic operation. Numbers may be

repeated within a cage, if necessary, as long as they do not repeat within a single row or column.

__Document 2: Example of a Completed 4x4 KenKen Puzzle__

__Document 3: Example of 8x8 KenKen Puzzle__

Source: http://www.kenken.com

Consider each of the following statements. Does the information in the three sources support the inference as stated?

Yes

No

Yes

No

"In Document 1, the 12x cage could be filled in with the digits 2, 2, and 3."

Yes

No

"In Document 3, the 12+ cage could be filled in with the digits 1, 3, and 8."

Yes

No

"In Document 3, the 60x cage contains three squares in a backwards L-shape. In general, any 60x cage shaped like that could have as many as 12 legitimate different combinations, assuming that, for instance, the combination 4, 5, 3 is counted as a different combination from 5, 3, 4, and also assuming that no other contradictions with other elements of the large square have yet been found."