From the archive

Lineup Logic

Friday, October 16, 2026

Approved Lineup Logic puzzle artwork for Friday, October 16, 2026
LINEUP LOGICeasy

Four number cards are arranged from left to right:

1 · 3 · 5 · 7

But not in that order.

WHAT’S THE ORDER?

Clues

  1. 1 is immediately to the right of 5
  2. 3 is somewhere to the right of 7
  3. 7 is not on either end

Answer

5 — 1 — 7 — 3

Why it works

The fixed 5 — 1 pair can only occupy the first two positions; 7 and 3 then fill the remaining positions in order.

  1. Because 1 is immediately to the right of 5, treat 5 — 1 as a single adjacent block.
  2. The block cannot occupy positions two and three, because that would leave 7 on an end. It cannot occupy positions three and four for the same reason.
  3. So 5 — 1 must occupy the first two positions.
  4. The remaining cards are 7 and 3. Since 3 must be to the right of 7, they take the final positions as 7 — 3.
  5. The full order is 5 — 1 — 7 — 3.