Puzzle Reasoning Problems: Logic Puzzles in Aptitude Tests
Puzzle reasoning problems give you a handful of clues about people, positions, days or attributes and ask you to deduce who goes where, or answer a question about the arrangement. The fastest way to solve them is always the same: draw a simple diagram, apply the most restrictive clue first, and stop as soon as the question you were asked is answered. Below you will find the main puzzle types, a fully worked example, the traps that cost most candidates marks, and eight practice puzzles with explained answers.
What puzzle reasoning tests measure
These items test deductive reasoning: drawing conclusions that must be true from the information given, and nothing else. They also put pressure on working memory, because you have to hold several constraints in mind at once. That is why the best candidates write things down instead of trying to keep the puzzle in their heads.
You will find puzzle reasoning in deductive and logical reasoning tests, general ability batteries, some public sector assessments and occasionally in analyst or consulting interviews. For the wider family of deductive formats, including syllogisms and conditional statements, see our guide to deductive reasoning tests.
The five puzzle types you will meet
| Type | Example setup | Best diagram |
|---|---|---|
| Ordering | Five runners finish a race in some order | A number line, positions 1 to 5 |
| Seating and position | Four people sit in a row or around a table | Numbered seats or a circle sketch |
| Matching (grid) | Three people, three jobs, three cities | A grid with ✓ and ✗ |
| Scheduling | Four meetings over four days | Days as columns, tasks placed one by one |
| Truth-tellers and liars | Some speakers always lie, others always tell the truth | Test each case: "if A is truthful, then..." |
Most aptitude test puzzles are one of these, or two combined. Recognizing the type tells you which diagram to draw, which saves the most time.
Clue types and what to do with them
- Fixed clues ("S finished last"): place them immediately.
- Relative clues ("P finished before Q"): note them as P < Q. They do not fix a position on their own.
- Adjacency clues ("R finished immediately after Q"): treat the pair as a single block, QR.
- Negative clues ("Sales is not on Tuesday"): put a ✗ in the diagram. They are easy to overlook and often decide the puzzle.
- Conditional clues ("If A is in seat 1, B is in seat 4"): only apply when the condition holds. They say nothing when it does not.
Worked example
Puzzle. Four meetings (Budget, Hiring, Sales, Tech) take place Monday to Thursday, one per day.
- Hiring is the day after Budget.
- Tech is earlier in the week than Sales.
- Budget is not on Monday.
- Sales is not on Tuesday.
Which meeting is on Wednesday?
Step 1, set up. Write Mon, Tue, Wed, Thu in a row.
Step 2, pick the most restrictive clue. Clue 1 creates a block, Budget then Hiring. Clue 3 rules out Monday for Budget. So the block can only start on Tuesday (Tue–Wed) or Wednesday (Wed–Thu).
Step 3, test each case.
- Block on Wed–Thu: Tech and Sales fill Monday and Tuesday. Clue 2 puts Tech on Monday and Sales on Tuesday, but clue 4 forbids Sales on Tuesday. This case fails.
- Block on Tue–Wed: Tech and Sales fill Monday and Thursday. Clue 2 puts Tech on Monday and Sales on Thursday. Clue 4 is satisfied.
Step 4, answer. Monday Tech, Tuesday Budget, Wednesday Hiring, Thursday Sales. Wednesday is Hiring.
Step 5, check. Run through all four clues once more. Every one holds, so the solution is safe.
Notice the method: when a block can only sit in two or three places, testing each case is faster than trying to reason in the abstract.
Typical traps
Reading "before" as "immediately before". "P finished before Q" allows any number of people between them. Only "immediately" or "directly" means adjacent.
Mixing up left and right. Decide at the start whether "left" means your left as you look at the diagram, and stick to it. Most tests define this in the instructions.
Forgetting a negative clue. Candidates who solve a puzzle "correctly" but get the wrong answer have usually ignored a "not" clue.
Assuming a unique full solution. Sometimes two arrangements fit all the clues but agree on the answer to the question. Do not waste time hunting for the "real" one.
Adding outside assumptions. If the puzzle does not say people sit in a row, do not assume it. If it does not say each person has one job, check whether two can share.
Solving more than you need. If the question asks who is in seat 2, stop once seat 2 is fixed.
Time strategy
Puzzle items often share one setup across several questions. That changes the maths: the minute you spend drawing a careful diagram pays back on every question attached to it.
- Single-question puzzles: aim for about one minute. Skim the clues, draw, place fixed clues, then answer.
- Shared-setup puzzles (3–5 questions): spend up to two minutes on the setup, then 20 to 40 seconds per question.
- Stuck rule: if you have made no progress after twice your average time, eliminate impossible options, guess, flag it if possible and come back at the end.
Keep your diagrams small and clean. A cluttered sketch costs more time than it saves when you return to it for the next question.
Practice puzzles
Work through these in order. They get harder as you go. Give yourself about one to two minutes each.
Question 1
Ana, Ben and Cal each own exactly one pet: a cat, a dog or a fish, and no two own the same pet. Ana does not own the dog or the fish. Ben does not own the dog. Who owns the dog?
A) Ana B) Ben C) Cal D) Cannot be determined
Answer: C. Ana must own the cat. Ben cannot own the dog, and the cat is taken, so Ben owns the fish. That leaves the dog for Cal.
Question 2
Five runners (P, Q, R, S, T) finish a race with no ties. T finishes first. S finishes last. P finishes before Q. R finishes immediately after Q. Who finishes third?
A) P B) Q C) R D) S
Answer: B. With T in 1st and S in 5th, positions 2 to 4 go to P, Q and R. QR is a block, and P is before Q, so the only order is P (2nd), Q (3rd), R (4th).
Question 3
Of five buildings, V is taller than W, X is shorter than W, Y is taller than V, and Z is shorter than X. Which building is the third tallest?
A) V B) W C) X D) Y
Answer: B. Chaining the clues gives Y > V > W > X > Z. W is third.
Question 4
Hana, Ivan and Jo work in Finance, HR and IT (one each) and live in Austin, Boston and Denver (one each). The person in IT lives in Denver. Hana is not in IT and does not live in Boston. Ivan works in HR. Who lives in Austin?
A) Hana B) Ivan C) Jo D) Cannot be determined
Answer: A. Ivan is in HR and Hana is not in IT, so Hana is in Finance and Jo is in IT. Jo therefore lives in Denver. Hana does not live in Boston or Denver, so she lives in Austin.
Question 5
Four people sit in a row of seats numbered 1 to 4 from left to right. Dana sits in an end seat. Eli sits directly to the right of Fay. Gus does not sit next to Dana. Who sits in seat 2?
A) Dana B) Eli C) Fay D) Gus
Answer: C. If Dana is in seat 1, Fay–Eli must occupy seats 2–3 (if they took 3–4, Gus would be in seat 2 next to Dana), leaving Gus in seat 4. If Dana is in seat 4, Fay–Eli must occupy 2–3 (if they took 1–2, Gus would be in seat 3 next to Dana), leaving Gus in seat 1. In both arrangements Fay is in seat 2.
Question 6
On an island, knights always tell the truth and knaves always lie. A says: "B is a knave." B says: "A and I are the same type." What are A and B?
A) Both knights B) Both knaves C) A is a knight, B is a knave D) A is a knave, B is a knight
Answer: C. If A is a knight, B is a knave, so B's claim that they are the same type is false, which is consistent. If A is a knave, B is a knight, but then B's claim would have to be true, and a knave and a knight are not the same type. That is a contradiction, so A is a knight and B is a knave.
Question 7
Three boxes are labeled "Apples", "Oranges" and "Mixed". Every label is wrong. You take one fruit from the box labeled "Mixed" and it is an apple. What does the box labeled "Oranges" contain?
A) Apples only B) Oranges only C) A mix of apples and oranges D) Cannot be determined
Answer: C. The box labeled "Mixed" cannot be mixed, and it contains an apple, so it holds apples only. The box labeled "Oranges" cannot hold oranges, and apples only is taken, so it must be the mixed box. That leaves oranges in the box labeled "Apples".
Question 8
Five people (Lee, Max, Nia, Oli, Pat) live in a row of houses numbered 1 to 5, one per house. Lee lives in house 1 or house 5. Max lives exactly two houses to the right of Nia (a higher number). Nia does not live in house 1. Oli lives directly next to Lee. Pat lives in an even-numbered house. Who lives in house 4?
A) Max B) Nia C) Oli D) Pat
Answer: D. Nia is not in 1, and Max is two higher, so the pair is Nia 2–Max 4 or Nia 3–Max 5. If Nia is in 2 and Max in 4, both even houses are taken and Pat has nowhere to go, so that fails. So Nia is in 3 and Max in 5. Lee must then be in house 1, Oli next to Lee in house 2, and Pat in the remaining house, 4, which is even.
A three-week practice plan
| Week | Focus | Sessions |
|---|---|---|
| 1 | Untimed. One puzzle type per day: ordering, seating, matching, scheduling, truth-tellers. Write out every step. | 20 minutes, 5 days |
| 2 | Timed, mixed types. Aim for one to two minutes per single-question puzzle. Log every error and its cause. | 25 minutes, 5 days |
| 3 | Full timed tests in your employer's format, then redo every puzzle you got wrong without looking at the answer. | 30 minutes, 4 days |
Your error log is the most useful tool here. Most candidates find their mistakes cluster around one or two causes, such as missing negative clues or misreading "before" as "immediately before". Once you know yours, you can check for it on every puzzle.
For more grid technique, our logic grid puzzle guide goes step by step through larger grids, and advanced logic puzzles covers harder multi-layer problems. If you want the full picture of the test these puzzles sit in, read the logical reasoning test guide. For timed practice in employer formats, use find the right test.
Frequently Asked Questions
Are puzzle reasoning and logic grid puzzles the same?
Logic grid puzzles are one type of puzzle reasoning. Ordering, seating, scheduling and truth-teller puzzles are others, and they are often faster to solve with a number line or a short list than with a full grid. The grid is best for matching two or three categories to each other.
How long should each puzzle take?
In most aptitude tests you have roughly one to three minutes per puzzle, depending on how many clues and questions it carries. A short puzzle with one question should take about a minute. If you have made no progress after twice your average time, guess, flag it if you can and move on.
Can I improve at puzzle reasoning?
Yes, and faster than most people expect. The improvement comes from setting up a diagram quickly, choosing the most restrictive clue first and recognizing standard clue types. Two to four weeks of regular timed practice usually makes a clear difference.
Do I need to solve the whole puzzle to answer the question?
Often not. Many questions ask about one position or one person, and you can stop as soon as that answer is fixed. Some puzzles even have several valid full arrangements that all agree on the answer to the question asked.
Where do puzzle reasoning problems appear?
They appear in logical and deductive reasoning tests, some general ability batteries, civil service and graduate assessments, and occasionally in consulting or analyst interviews. The exact format depends on the test provider, so check your invitation for the test name.