Exercise: Syllogism

Questions for: Syllogism

Statements: All men are vertebrates. Some mammals are vertebrates.

Conclusions:

  1. All men are mammals.
  2. All mammals are men.
  3. Some vertebrates are mammals.
  4. All vertebrates are men.

A:
Only (4)
B:
Only (2)
C:
Only (3)
D:
Only (1)
Answer: C

Statements: All green are blue. All blue are white.

Conclusions:

  1. Some blue are green.
  2. Some white are green.
  3. Some green are not white.
  4. All white are blue.

A:
Only (1) and (2)
B:
Only (1) and (3)
C:
Only (1) and (4)
D:
Only (2) and (4)
Answer: A

Statements: No door is dog. All the dogs are cats.

Conclusions:

  1. No door is cat.
  2. No cat is door.
  3. Some cats are dogs.
  4. All the cats are dogs.

A:
Only (2) and (4)
B:
Only (1) and (3)
C:
Only (3) and (4)
D:
Only (3)
Answer: D

Statements: All cars are cats. All fans are cats.

Conclusions:

  1. All cars are fans.
  2. Some fans are cars.

A:
Only (1) conclusion follows
B:
Only (2) conclusion follows
C:
Either (1) or (2) follows
D:
Neither (1) nor (2) follows
Answer: D

Statements: All buildings are chalks. No chalk is toffee.

Conclusions:

  1. No building is toffee
  2. All chalks are buildings.

A:
Only (1) conclusion follows
B:
Only (2) conclusion follows
C:
Either (1) or (2) follows
D:
Neither (1) nor (2) follows
Answer: A
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