Syllogisms hard


 

Below is a quiz with 21 of the hardest multiple-choice questions about syllogisms you will find on the web. Have fun!

 

1. a. All hamburgers are meals.
  b. Some cows are hamburgers .

 
  All meals are cows
  At least some meals are cows
  No cows are meals
  Some cows are no meals
 

2. a. All cities have houses .
  b. All countries have cities .

 
  All houses have countries
  All countries have houses
  Not all houses have countries
  No valid conclusion possible
 

3. a. All kitchens have cabinets.
  b. All cabinets have shelves .

 
  At least some kitchens have shelves
  All shelves have kitchens
  All kitchens have shelves
  No valid conclusion possible
 

4. a. All car drivers are environmental polluters.
  b. All detergents are environmental polluters.

 
  Some detergents are environmental polluters
  All car drivers are detergents
  No car driver is a detergent
  No valid conclusion is possible
 

5. a. All dogs are brown.
  b. All Bull Dogs are brown.

 
  At least some dogs are Bull Dogs
  Some dogs are Bull Dogs
  All Bull Dogs are dogs
  No valid conclusion possible
 

6. a. All books are reference books.
  b. No reference books are encyclopedias.

 
  No books are encyclopedias
  All books are encyclopedias
  No books are no encyclopedias
  No valid conclusion possible
 

7. a. Some furniture have legs.
  b. All legs have owners.

 
  Some furniture have owners
  All furniture have owners
  At least some owners heft furniture
  No valid conclusion possible
 

8. a. No trousers are clothing.
  b. No sweaters are trousers.

 
  Some sweaters are clothing
  Some clothing are sweaters
  All sweaters are clothing
  No valid conclusion possible
 

9. a. Some rivers have currents.
  b. Some ponds have currents.

 
  Some rivers have ponds
  Some ponds have rivers
  No ponds have rivers
  No valid conclusion possible
 

10. a. All trees are oxygen producers.
  b. All trees are fire wood.

 
  All oxygen producers are fire wood
  At least some oxygen producers are fire wood
  Some fire woods are oxygen producers
  No valid conclusion possible
 

11. a. All kids are whiners.
  b. Some kids are cry babies.

 
  No whiners are cry babies
  Not all whiners are cry babies
  At least some whiners are cry babies
  No valid conclusion possible
 

12. a. No horses are molluscs.
  b. All crabs are horses.

 
  No crabs are mollusc’s
  Some horses are no crabs
  No mollusc’s are horses
  No valid conclusion possible
 

13. a. Some cars are four whealers.
  b. All cars are three whealers.

 
  No three wheelers are four wheelers
  All four wheelers are three wheelers
  At least some three wheelers are four wheelers
  No valid conclusion possible
 

14. a. All wires are strings.
  b. Some tubes are wires.

 
  Some strings are tubes
  Some tubes are strings
  No strings are tubes
  No valid conclusion possible
 

15. a. No computers are televisions.
  b. All cathode ray tubes are televisions.

 
  All cathode ray tubes are computers
  No cathode ray tubes are computers
  All computers are cathode ray tubes
  No valid conclusion possible
 

16. a. Some AB is CD.
  b. No CD is EF.

 
  At least some AB is No EF
  Some EF is AB
  No AB is EF
  No valid conclusion possible
 

17. a. All paths have rocks.
  b. All areas have paths.

 
  All rocks have areas
  All areas have rocks
  Not all rocks have areas
  No valid conclusion possible
 

18. a. All schools are buildings.
  b. Some schools are tents.

 
  No buildings are tents
  Not all buildings are tents
  At least some buildings are tents
  No valid conclusion possible
 

19. a. Some apartments have showers.
  b. Some boats have showers.

 
  Some apartments have boats
  Some boats have apartments
  No boats have apartments
  No valid conclusion possible
 

20. a. All fungi are bacteria.
  b. Some mushrooms are fungi.

 
  All bacteria are mushrooms
  At least some bacteria are mushrooms
  No mushrooms are bacteria
  Some mushrooms are no bacteria
 

21. a. No *** are ###.
  b. Some ^^^^ are ###.

 
  All ^^^^ are no ***
  Some *** are no ^^^^
  At least some ^^^^ are no ***
  No valid conclusion possible