Egghead Games

Finishing a Logic Grid Puzzle

Part 5 of 5 of How to Solve Logic Grid Puzzles.

All five clues have been read, and the grid still has plenty of empty squares. This is normal. The rest comes from three moves, used over and over.

$3.00$4.00$5.00$6.00goldorangeredwhitebeardogmonkeyturtlegoldorangeredwhite ANIMALSCOLORSPRICESCOLORS
The grid after one pass through the clues.

Move 1: find the last empty square

Look down the turtle column in the top-left grid. $3, $4 and $6 are all crossed out, so the turtle cost $5.

$3.00$4.00$5.00$6.00goldorangeredwhitebeardogmonkeyturtlegoldorangeredwhite ANIMALSCOLORSPRICESCOLORS
Three X's in the turtle column leave only $5.

Move 2: reread the clues

Two clues were waiting for exactly this. Clue 4 says the bear cost 2 dollars less than the turtle, so the bear cost $3. Clue 1 says the bear cost 1 dollar less than the monkey, so the monkey cost $4. That leaves $6 for the dog.

$3.00$4.00$5.00$6.00goldorangeredwhitebeardogmonkeyturtlegoldorangeredwhite ANIMALSCOLORSPRICESCOLORS
Clues 4 and 1 give the bear and the monkey their prices, and the dog takes the one that is left.

Clue 5 was waiting too. Of the $6 animal and the orange animal, one was the monkey and the other was the dog. The dog cost $6, so the monkey was the orange one. The only animal left for red is then the dog.

$3.00$4.00$5.00$6.00goldorangeredwhitebeardogmonkeyturtlegoldorangeredwhite ANIMALSCOLORSPRICESCOLORS
The dog was the $6 animal, so the monkey was orange. That leaves red for the dog.

Move 3: carry a match across

The bear has two circles: it cost $3, and it was gold. So the $3 animal was gold, which is a circle in the top-right grid. The same goes for the other three animals.

$3.00$4.00$5.00$6.00goldorangeredwhitebeardogmonkeyturtlegoldorangeredwhite ANIMALSCOLORSPRICESCOLORS
Each animal's price and color go together. Every row and column has its circle, and the puzzle is solved.

Whenever one item has a circle in two grids, the two things it is matched with also match each other.

The answer

Prices Animals Colors
$3.00 bear gold
$4.00 monkey orange
$5.00 turtle white
$6.00 dog red

X's carry across too

The same idea works for X's. Once you know the bear cost $3, any color ruled out for the bear is ruled out for the $3 animal, and the other way round. In a bigger puzzle this is often what gets you moving again.

If you are stuck

When none of the three moves finds anything, go back through the clues one at a time. A greater-than, either/or or multi-elimination clue that gave you little the first time will often give you more once the grid has filled in around it.


Previous: Multi-elimination clues
All parts of the guide