Deduce #60: The allotment — the solution

The Deduce puzzle from October 13, 2026, worked through clue by clue: 7 clues, 3 rounds of crossing off, and no guessing anywhere.

The puzzle

Four people — Edie, Bram, Ivo and Saul — and three things to work out about each: their crop, tool and plot. The clues only ever rule things out.

1. Saul is the one on plot 4.
2. Ivo is the turnips grower.
3. The radishes grower is exactly 2 plots after Bram.
4. The spinach grower is the one with the gloves.
5. The one with the bucket is on a lower plot than the turnips grower.
6. The one with the gloves is the one on plot 5.
7. The one with the twine is not the one on plot 3.

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, “Saul is the one on plot 4”: plot 4 comes off Edie, Bram and Ivo. That settles it: Saul is on plot 4.

Clue 2, “Ivo is the turnips grower”: turnips comes off Edie, Bram and Saul. That settles it: Ivo’s crop is turnips.

Clue 3, “The radishes grower is exactly 2 plots after Bram”: radishes comes off Bram; plot 5 comes off Bram.

Clue 4, “The spinach grower is the one with the gloves”: gloves comes off Ivo.

Clue 5, “The one with the bucket is on a lower plot than the turnips grower”: bucket comes off Ivo; plot 2 comes off Ivo.

Clue 6, “The one with the gloves is the one on plot 5”: gloves comes off Bram and Saul; plot 5 comes off Ivo. That settles it: Edie’s tool is gloves, Edie is on plot 5 and Ivo is on plot 3.

Round 2

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

plot 3 is Ivo’s, so it comes off Bram. That settles it: Bram is on plot 2.

Clue 3, “The radishes grower is exactly 2 plots after Bram”: radishes comes off Edie.

Clue 4, “The spinach grower is the one with the gloves”: spinach comes off Bram and Saul. That settles it: Edie’s crop is spinach and Bram’s crop is potatoes.

Clue 5, “The one with the bucket is on a lower plot than the turnips grower”: bucket comes off Saul.

Clue 7, “The one with the twine is not the one on plot 3”: twine comes off Ivo. That settles it: Ivo’s tool is ladder.

Round 3

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

Potatoes is Bram’s, so it comes off Saul. That settles it: Saul’s crop is radishes.

Ladder is Ivo’s, so it comes off Bram and Saul. That settles it: Saul’s tool is twine.

Twine is Saul’s, so it comes off Bram. That settles it: Bram’s tool is bucket.

The answer

Previous: Deduce #59 (Mon, Oct 12) · Next: Deduce #61 (Wed, Oct 14) · 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.