Deductive Reasoning Practice Test Worksheets
Build confidence with printable deductive reasoning worksheets and focused logic practice tests. Students learn to track anchor positions, apply relative clues, and identify shared positions across floors, levels, race ranks, and theatre rows.
For students who can follow individual clues, but need targeted practice chaining several position-based clues without losing track.
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What Do Deductive Reasoning Questions Look Like?
Deductive reasoning questions present a set of positional relationships among people or objects—such as car park levels, race finishing orders, or apartment floors. The goal is to deduce each individual's position from relative clues and identify matching or target positions. Here is a worked example.
Multi-Storey Car Park Level Deduction
Question: In a multi-storey car park, Fred parks on level 4. Bianca parks three levels below Fred. Peter parks one level above Fred. Camila parks four levels below Peter. Lucas parks two levels above Camila. Who parks on the same level?
Options:
A Peter and Fred.
B Lucas and Fred.
C Camila and Lucas.
D Camila and Bianca.
E Camila and Fred.
Worked Method
What it's testing: Rule 1 & Rule 2 — anchor identification and relative level offsets.
Step-by-step evaluation:
- Anchor: Fred = Level 4.
- Bianca: 3 levels below Fred → 4 − 3 = Level 1.
- Peter: 1 level above Fred → 4 + 1 = Level 5.
- Camila: 4 levels below Peter → 5 − 4 = Level 1.
- Lucas: 2 levels above Camila → 1 + 2 = Level 3.
- Identify shared pair: Both Camila and Bianca park on Level 1.
Answer: D (Camila and Bianca)
Tip: Always write down each person's name with their calculated number in a column as you read each sentence.
Rules to Help You Solve Deductive Reasoning Questions
Position-based logic puzzles measure step-by-step analytical deduction. Use these 4 core principles to work out relative positions systematically:
📌 Rule 1: Anchor Person & Base Position
Start with a person whose exact position is given. If no numerical position is given, choose a reference value and work out everyone’s position relative to it. These chosen numbers do not establish actual floors or ranks, but equal values still identify people who share a position.
Example: If Fred is given as Level 4, use the connected clues to calculate the other levels from that known position.
↕️ Rule 2: Directional Offset Math
When finding the person described relative to a known person, add for floors or levels above and subtract for those below. For race ranks, subtract for ahead and add for behind. If you are finding the reference person instead, reverse the operation.
For example, if Linda is on floor 4 and lives one floor below Lucas, Lucas is on floor 4 + 1 = 5.
The pack’s theatre answer keys use a scale whose numbers increase towards the front: add for in front and subtract for behind. This is the pack’s convention, not a universal rule for theatre row numbering.
Example: Bianca = Fred (4) - 3 = Level 1. In a race, 2 places behind 1st means Position 1 + 2 = Position 3.
🔗 Rule 3: Chaining Relational Clues
Once a person's position is derived, plug that value into later clues that reference them. This is essential when a question has no direct numerical anchor for every person.
Example: "Camila is 4 levels below Peter (5)" → Camila = 5 - 4 = Level 1.
🎯 Rule 4: Identifying Shared Positions
List all 5 calculated positions. Look for the two people with identical position numbers and match that pair to the correct option.
Example: Camila (Level 1) and Bianca (Level 1) share Level 1. Choose the option naming Camila and Bianca.
Two More Worked Examples
Running Race Position Deduction
Question: In a running race, Linda finished in position 5. Linda finished four places behind Naomi. Linda finished one place behind Bob. Jack finished three places ahead of Bob. John finished two places behind Jack. Who finished in the same position?
Options:
A Linda and Jack.
B Jack and Naomi.
C Linda and Naomi.
D John and Naomi.
E Linda and John.
Worked Method
What it's testing: Rule 2 & Rule 3 — race rank direction (behind = higher number, ahead = lower number).
Step-by-step evaluation:
- Anchor: Linda = Position 5.
- Naomi: Linda is 4 places behind Naomi → Naomi = 5 − 4 = Position 1.
- Bob: Linda is 1 place behind Bob → Bob = 5 − 1 = Position 4.
- Jack: 3 places ahead of Bob (4) → Jack = 4 − 3 = Position 1.
- John: 2 places behind Jack (1) → John = 1 + 2 = Position 3.
- Identify shared pair: Both Jack and Naomi finished in Position 1.
Answer: B (Jack and Naomi)
Tip: Remember that finishing "ahead" in a race means a lower numerical rank (e.g., 1st place is ahead of 4th place).
Block of Flats Multi-Step Deduction
Question: In a block of flats, Leo lives on floor 2. Linda lives two floors above Leo. Linda lives one floor below Lucas. Richard lives four floors above Leo. Luciana lives two floors above Linda. Who lives on the same floor?
Options:
A Luciana and Richard.
B Richard and Lucas.
C Linda and Luciana.
D Leo and Lucas.
E Leo and Richard.
Worked Method
What it's testing: Rule 3 & Rule 4 — chaining clues through intermediate derived people without mixing up references.
Step-by-step evaluation:
- Anchor: Leo = Floor 2.
- Linda: 2 floors above Leo → 2 + 2 = Floor 4.
- Lucas: Linda (4) is 1 floor below Lucas → Lucas = 4 + 1 = Floor 5.
- Richard: 4 floors above Leo (2) → Richard = 2 + 4 = Floor 6.
- Luciana: 2 floors above Linda (4) → Luciana = 4 + 2 = Floor 6.
- Identify shared pair: Both Luciana and Richard live on Floor 6.
Answer: A (Luciana and Richard)
Tip: Pay close attention to who the clue is relative to. "Linda lives one floor below Lucas" means Lucas is higher than Linda (Floor 5 vs Floor 4).
