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Learn · Thinking Skills · 5 min

Logic puzzles: use a grid

“Ava, Ben and Cara each own one pet…” — these are only hard if you try to keep them in your head. Draw a grid and the clues do the work:

See it: three clues, one grid, no guessing

Ava, Ben and Cara each own one pet — a cat, a dog or a fish. Apply the clues one at a time.

catdogfish
Ava···
Ben···
Cara···

Press Clue 1 to start. Nothing is known yet.

Now — the move everyone misses

A tick does double work

Most students cross out what the clues say and then stop, stuck. Every tick you place gives you four more crosses for free — the rest of its row and the rest of its column. That cascade is what finishes the puzzle.

  • ① A clue says no → cross one cell
  • ② A row or column with one space left → that space is a tick
  • ③ Every new tick → cross the rest of its row and its column
  • ④ Repeat ② and ③ until the grid is full — you never guess

Tips & tricks

“Either / or” clues are two crosses
“The cat is Ava’s or Ben’s” tells you nothing about Ava or Ben — it tells you Cara has no cat.
Ordering puzzles — draw positions, not a grid
“Sam finished before Kim” → a line of places. Put in the fixed ones first, then slot the rest.
“Directly before” is stronger than “before”
“Directly” means touching — no room for anyone between. Read those two words carefully.
Start with the clue that mentions the fewest options
A clue naming one person and one thing settles a cell immediately. Save the vague ones for later.
If you must guess, you missed a deduction
Exam logic puzzles always have exactly one answer reachable by pure elimination. Re-read the clue list before guessing.

Now you try — 0/3

Dev, Eli and Fay each play one sport — soccer, tennis or chess.

  • Eli does not play tennis.
  • Dev plays neither soccer nor chess.
  • Fay does not play chess.

1. What does Dev play?

2. Who plays chess?

3. Once you know Dev plays tennis, what can you cross out straight away?

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