Deduce #63: The yard sale — the solution

The Deduce puzzle from October 16, 2026, worked through clue by clue: 6 clues, 4 rounds of crossing off, and no guessing anywhere.

The puzzle

Four people — Keith, Amos, Kayla and Tyler — and three things to work out about each: their item, house and table. The clues only ever rule things out.

1. Amos is the one selling the bike.
2. Tyler is at a lower-numbered table than the one selling the toaster.
3. Tyler is the one at the gray house.
4. The one selling the vase is exactly 2 tables after the one at the red house.
5. The one selling the vase is the one at the yellow house.
6. Kayla is exactly 2 tables after the one selling the toaster.

The walkthrough

A round is one pass over the clues. Each round applies what the last one settled; every step below is an elimination the clues force, in the order a solver would take them.

Round 1

Start with every possibility open, and take the clues in order.

Clue 1, “Amos is the one selling the bike”: bike comes off Keith, Kayla and Tyler. That settles it: Amos’s item is bike.

Clue 2, “Tyler is at a lower-numbered table than the one selling the toaster”: toaster comes off Tyler; table 6 comes off Tyler.

Clue 3, “Tyler is the one at the gray house”: gray comes off Keith, Amos and Kayla. That settles it: Tyler’s house is gray.

Clue 5, “The one selling the vase is the one at the yellow house”: vase comes off Tyler; yellow comes off Amos. That settles it: Tyler’s item is skates.

Clue 6, “Kayla is exactly 2 tables after the one selling the toaster”: toaster comes off Kayla; table 5 and table 6 come off Keith; table 3 and table 4 come off Kayla.

Round 2

Go back over the clues with the new facts in hand.

Skates is Tyler’s, so it comes off Keith and Kayla. That settles it: Kayla’s item is vase.

Nobody but Keith can still have toaster, so Keith’s item is toaster.

Clue 2, “Tyler is at a lower-numbered table than the one selling the toaster”: table 3 comes off Keith; table 4 and table 5 come off Tyler. That settles it: Keith is at table 4 and Tyler is at table 3.

Clue 4, “The one selling the vase is exactly 2 tables after the one at the red house”: red comes off Kayla.

Clue 5, “The one selling the vase is the one at the yellow house”: yellow comes off Keith. That settles it: Kayla’s house is yellow.

Clue 6, “Kayla is exactly 2 tables after the one selling the toaster”: table 5 comes off Kayla. That settles it: Kayla is at table 6.

Round 3

Go back over the clues with the new facts in hand.

table 4 is Keith’s, so it comes off Amos.

table 6 is Kayla’s, so it comes off Amos.

table 3 is Tyler’s, so it comes off Amos. That settles it: Amos is at table 5.

Clue 4, “The one selling the vase is exactly 2 tables after the one at the red house”: red comes off Amos. That settles it: Amos’s house is green.

Round 4

Go back over the clues with the new facts in hand.

Green is Amos’s, so it comes off Keith. That settles it: Keith’s house is red.

The answer

Previous: Deduce #62 (Thu, Oct 15) · Next: Deduce #64 (Sat, Oct 17) · All Deduce solutions

About Deduce

Deduce is Noggin’s daily logic grid: four people, three things to work out about each, and clues that never hand you an answer. Every puzzle has exactly one solution and can be finished by crossing off alone. How to play Deduce, or play today’s.