Logical Reasoning Quiz

Questions: 16 · 10 minutes
1. Sarah will travel by either train or bus, but not both. She will not travel by train. What must she do?
Travel by bus.
Choose either option later.
Travel by both methods on different legs.
Cancel the journey.
2. Every red token is square, and no square token is small. Which token would be impossible under these rules?
A red token that is small
A blue token that is small
A square token that is large
A non-red token that is square
3. Ana finished before Ben, and Ben finished before Cara. Which ordering must be true?
The order of Ana and Cara cannot be determined.
Ana finished before Cara.
Ben finished after Cara.
Cara finished before Ana.
4. A report contains these claims: “Every package in the shipment was scanned,” “Package R was in the shipment,” and “Package R was not scanned.” What can be concluded?
Only the claim about Package R being in the shipment is false.
At least one of the three claims is false.
The scanner necessarily malfunctioned.
All three claims could be true together.
5. The statement “It is not true that both Alex and Jordan attended” means which of the following?
Neither Alex nor Jordan attended.
At least one of Alex and Jordan did not attend.
Exactly one of them attended.
Both attended, but at different times.
6. All poets are dreamers. No dreamers are accountants. Some teachers are poets. Which conclusion must be true?
No teachers are accountants.
All teachers are poets.
Some accountants are teachers.
Some teachers are not accountants.
7. A rule states: “The gate is open if and only if the green light is on.” The green light is off. What follows?
The gate might still be open because the rule works in only one direction.
The gate must have been open earlier.
The gate is open, but the light is defective.
The gate is not open.
8. After 18 consecutive buses on a route arrived on time, someone concludes that the next bus will probably arrive on time. How should this reasoning be classified?
It is deductively valid because the observed pattern has no exception.
It guarantees the next arrival unless the timetable changes.
It is inductively supported but not deductively guaranteed.
It is logically irrelevant because past observations can never support predictions.
9. All lumes are metallic, and no metallic objects can float. What must be true?
All floating objects are lumes.
Some lumes can float if they are hollow.
No lumes can float.
Some metallic objects are not lumes.
10. What makes a deductive argument valid?
Its premises and conclusion are all factually true.
If its premises are true, its conclusion cannot be false.
Its premises make the conclusion more probable than not.
Most informed people find its conclusion persuasive.
11. Ice cream sales and sunburn cases both increase during hot summer weeks. What is the most logically cautious conclusion?
Eating ice cream causes sunburn.
Sunburn causes people to buy ice cream.
The two increases cannot have any relationship.
A common factor, such as hotter weather, may influence both.
12. A security rule says: “If the alarm is set, the indicator light is on.” You observe that the indicator light is off. What follows logically?
The alarm is not set.
The alarm is set, but the light is faulty.
The alarm was set earlier.
Nothing can be inferred about whether the alarm is set.
13. Priya is older than Leon, and Leon is older than Mei. Who is the youngest of the three?
Mei
Leon
Priya
It cannot be determined.
14. Consider this reasoning: “If the permit is approved, construction will start. Construction has started, so the permit was approved.” Which error does it make?
Denying the antecedent
Presenting a false dilemma
Using circular reasoning
Affirming the consequent
15. Which finding would logically disprove the claim “All swans are white”?
A large survey containing only white swans
An expert’s statement that most swans are white
One reliably observed non-white swan
A non-white bird from a different species
16. Exactly one of switches A and B is on. Switch A is on. What can you conclude?
Both switches are on.
Switch A must be off.
Switch B is off.
There is not enough information about switch B.
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