Logical Reasoning Practice: Questions with Answers
By Atlas Labs · Original teaching examples
Logical reasoning questions ask what follows from a set of statements. A conclusion can sound believable without being guaranteed. For these exercises, use only the information provided and choose what must be true under those rules.
The three original questions below cover group membership, an if–then rule and an ordering problem. All explanations are free. There is no timer or score, and these practice items are separate from Atlas’s scored assessment.
3 logical reasoning questions with answers
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0 of 3 answeredUntimed · Free practice
There’s no timer. Focus on understanding the method.
QUESTION 01 · Warm-up
Use ‘all’ and ‘some’ carefully
Every copper token is round. Some round tokens are blue. Which statement must be true?
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Answer: C — Any token that is not round is not copper.
All copper tokens belong to the round group. A token outside the round group therefore cannot be copper.
The blue round tokens might include copper tokens, or they might not. The statements do not tell us where that overlap lies, so neither of the first two options is guaranteed.
Takeaway: An overlap involving the larger group does not establish an overlap with every subgroup.
For this puzzle, the rule has no exceptions: if a file is approved, it has a green label. File K does not have a green label. What follows?
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Answer: A — File K is not approved.
An approved file must have a green label. Because K lacks that required label, it cannot be approved under the stated rule.
The rule does not say that green labels are exclusive to approved files. It also says nothing about red labels. Those two conclusions would add information.
Takeaway: A missing necessary condition rules something out; the condition’s presence alone may not rule it in.
Four books sit in one row. Juniper is left of Maple. Maple is left of Oak. Pine is right of Oak. Which book is second from the left?
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Answer: B — Maple.
Combine the first two clues to get Juniper, Maple, Oak in that left-to-right order. Pine must come after Oak, making the full order Juniper, Maple, Oak, Pine.
All four books are accounted for. Maple is therefore second, even though no single clue stated its numbered position.
Takeaway: Combine relative comparisons before assigning absolute positions.
Separate what follows from what merely sounds possible
Mark the strength of each statement
‘All,’ ‘some’ and ‘none’ say different things. ‘Some’ means at least one, not most. If a rule says all A are B, it does not automatically say all B are A.
Keep conditional rules in the right direction
If P implies Q, observing P supports Q. Observing Q alone does not establish P. If Q is false and the rule has no exceptions, P cannot be true.
Look for a counterexample
To reject a ‘must be true’ option, find one situation in which the given statements hold but that option fails. For an order, draw a short chain rather than keeping every comparison in your head.
About these practice questions
Atlas Labs publishes these original learning exercises separately from the scored assessment bank. Each explanation checks the intended rule and describes why other choices fail. They help you practice a method; they do not estimate IQ, population rank or performance on an employer’s test.
Using real-world assumptions when a puzzle provides its own explicit rules.
Choosing something that could be true when the question asks what must be true.
Questions about logical reasoning practice
What is the difference between logical and abstract reasoning?
These logical examples use statements and constraints; our abstract examples use visual relationships. Both require consistent rules, but the information is presented differently.
Do I need formal logic notation?
No. A short chain, simple grouping diagram or plain-English restatement is enough for these examples. Notation is useful only if it helps you preserve the meaning of the statements.
Does getting all three right give me a reasoning score?
No. Three teaching questions are not a validated measure of ability. Atlas’s separate assessment reports performance on its own items and does not provide an IQ, percentile or hiring recommendation.
Explore all four sides of your reasoning
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