Exercise: Syllogism

Questions for: Syllogism

Statements: Some cars are jeeps. All the boxes are jeeps. All the pens are cars.

Conclusions:

  1. Some cars are boxes.
  2. No pen is jeep.
  3. Some boxes are cars.

A:
None of three
B:
Only (1) and (2)
C:
Only (1) and (3)
D:
Only (2) and (3)
Answer: A

Statements: All the bottles are boxes. All the boxes are bags. Some bags are trays.

Conclusions:

  1. Some bottles are trays.
  2. Some trays are boxes.
  3. All the bottles are bags.
  4. Some trays are bags.

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

Only (3) and (4) follow.

Statements: All the books are papers. Some papers are journals. Some journals are calendars.

Conclusions:

  1. Some journals are books.
  2. Some calendars are papers.
  3. Some books are journals.
  4. Some books are calendars.

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

Statements: Some rats are cats. Some cats are dogs. No dog is cow.

Conclusions:

  1. No cow is cat.
  2. No dog is rat.
  3. Some cats are rats.

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

Statements: All the papers are books. All the bags are books. Some purses are bags.

Conclusions:

  1. Some papers are bags.
  2. Some books are papers.
  3. Some books are purses.

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