Chapter 8: CATEGORICAL SYLLOGISMS
- Practice -


Multiple Choice:
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No. of Questions = 35

In this exercise, you will be given a categorical proposition, and asked to decide which other proposition bears a specified logical relationship to the first one, by choosing statement 2, 3, or 4. For example:
1) All soldiers who win Purple Heart awards are heroes
Which of the following is the contradictory of (1)?
2) No soldier who wins a Purple Heart award is a hero
3) Some soldiers who win Purple Heart awards are nonheroes
4) Some soldiers who win Purple Heart awards are not heroes

There are three levels of difficulty. Level a (questions 1-12) will test you on logical relationships from the square of opposition. Level b (questions 13-23) covers relationships of immediate inference. Level c (questions 24-32) includes relationships of both types.


1 (1) All nerds are dorks.
Which of the following is the contradictory of (1)?
a) Some nerds are dorks
b) Some nerds are not dorks
c) No nerds are dorks
2 (1) Some chocolate-covered ants are tasty.
Which of the following is the subcontrary of (1)?
a) All chocolate-covered ants are tasty
b) Some chocolate-covered ants are not tasty
c) No chocolate-covered ants are tasty
3 (1) Some maps are not reliable.
Which of the following is the contradictory of (1)?
a) Some maps are reliable
b) No maps are reliable
c) All maps are reliable
4 (1) All depressions are caused by anxiety.
Which of the following is the subaltern of (1)?
a) Some depressions are caused by anxiety
b) Some depressions are not caused by anxiety
c) No depression is caused by anxiety
5 (1) No food containing pork is kosher.
Which of the following is the subaltern of (1)?
a) All food containing pork is kosher
b) Some food containing pork is kosher
c) Some food containing pork is not kosher
6 (1) All dinosaurs were reptiles.
Which of the following is the contrary of (1)?
a) Some dinosaurs were reptiles
b) No dinosaurs were reptiles
c) Some dinosaurs were not reptiles
7 (1) No meter maids are CIA agents.
Which of the following is the contradictory of (1)?
a) All meter maids are CIA agents
b) Some meter maids are not CIA agents
c) Some meter maids are CIA agents
8 (1) No elementary school teacher hates children.
Which of the following is the contrary of (1)?
a) Some elementary school teachers hate children
b) Some elementary school teachers do not hate children
c) All elementary school teachers hate children
9 (1) Some professors are pretentious.
Which of the following is the contradictory of (1)?
a) No professor is pretentious
b) All professors are pretentious
c) Some professors are not pretentious
10 (1) Some situation comedies have laugh tracks.
Which of the following is the contradictory of (1)?
a) All situation comedies have laugh tracks
b) No situation comedies have laugh tracks
c) Some situation comedies do not have laugh tracks
11 (1) Some restaurants do not accept American Express cards.
Which of the following is the subcontrary of (1)?
a) All restaurants accept American Express cards
b) No restaurants accept American Express cards
c) Some restaurants accept American Express cards
12 (1) No one who juggles chain saws for a living is entirely sane.
Which of the following is the subaltern of (1)?
a) All people who juggle chain saws for a living are entirely sane
b) Some people who juggle chain saws for a living are entirely sane
c) Some people who juggle chain saws for a living are not entirely sane
13 (1) All safety experts are careful.
Which of the following is the contrapositive of (1)?
a) All noncareful people are non-safety experts
b) All careful people are safety experts
c) No safety expert is noncareful
14 (1) Some praise is qualified.
Which of the following is the obverse of (1)?
a) Some praise is not unqualified
b) No praise is qualified
c) Some qualified things are praise
15 (1) Some peanuts are salted.
Which of the following is the converse of (1)?
a) Some salted things are peanuts
b) No peanuts are salted
c) Some peanuts are unsalted
16 (1) Some salt-water taffy is sugarfree.
Which of the following is the obverse of (1)?
a) No salt-water taffy is sugarfree
b) Some salt-water taffy is not nonsugarfree
c) Some salt-water taffy is nonsugarfree
17 (1) Some collisions are not fatal.
Which of the following is the contrapositive of (1)?
a) Some nonfatal events are not noncollisions
b) No collisions are nonfatal
c) Some nonfatal events are noncollisions
18 (1) No stone has been left unturned.
Which of the following is the obverse of (1)?
a) No stone has been left turned
b) Some things that have been left unturned are stones
c) All stones have been left turned
19 (1) No elective surgery is free.
Which of the following is the converse of (1)?
a) Some elective surgery is free
b) All elective surgery is free
c) No free things are elective surgeries
20 (1) No detachable widgits are available.
Which of the following is the contrapositive of (1)?
a) All detachable widgits are unavailable
b) Some detachable widgits are not available
c) No unavailable things are nondetachable widgits
21 (1) No self-respecting person wears suspenders at the beach.
Which of the following is the converse of (1)?
a) All people who wear suspenders at the beach are non-self-respecting
b) No one who wears suspenders at the beach is a self-respecting person
c) Some self-respecting people do not wear suspenders at the beach
22 (1) All mathematicians are clear thinkers.
Which of the following is the contrapositive of (1)?
a) No mathematicians are clear thinkers
b) Some clear thinkers are nonmathematicians
c) All nonclear thinkers are nonmathematicians
23 (1) No candidate from the South was successful in the primaries.
Which of the following is the converse of (1)?
a) No candidate successful in the primaries was from the South
b) All successful candidates were non-Southerners
c) Some successful candidates were non-Southerners
24 (1) All winners are lucky.
Which of the following is the contrapositive of (1)?
a) All unlucky people are non-winners
b) No winners are unlucky
c) Some winners are not lucky
25 (1) Some bathing suits are indecent.
Which of the following is the obverse of (1)?
a) Some decent things are not bathing suits
b) Some bathing suits are not decent
c) No bathing suits are decent
26 (1) All healthy food tastes terrible.
Which of the following is the contrapositive of (1)?
a) All non-terrible tasting food is unhealthy
b) All food that tastes terrible is healthy
c) No healthy food tastes non-terrible
27 (1) No human-powered aircraft is capable of flying the Atlantic.
Which of the following is the obverse of (1)?
a) Some human-powered aircraft are capable of flying the Atlantic
b) No human-powered aircraft is incapable of flying the Atlantic
c) All human-powered aircraft are incapable of flying the Atlantic
28 (1) Some of my best friends are icthyologists.
Which of the following is the converse of (1)?
a) Some of my best friends are not icthyologists
b) Some icthyologists are my best friends
c) No ichthyologist is my best friend
29 (1) All jaywalkers are criminals.
Which of the following is the contrary of (1)?
a) No jaywalkers are noncriminals
b) No jaywalkers are criminals
c) All nonjaywalkers are noncriminals
30 (1) All Woody Allen films are about Woody Allen.
Which of the following is the contrary of (1)?
a) Some Woody Allen films are not about Woody Allen
b) No Woody Allen films are about Woody Allen
c) Some films not about Woody Allen are non-Woody Allen films
31 (1) Some waiters are not couth.
Which of the following is the contrapositive of (1)?
a) Some waiters are uncouth
b) Some couth people are nonwaiters
c) Some uncouth people are not nonwaiters
32 (1) No paper with 3 or more grammatical errors is eligible for an A.
Which of the following is the converse of (1)?
a) Some papers with 3 or more grammatical errors are ineligible for an A
b) No paper eligible for an A is a paper with 3 or more grammatical errors
c) All papers ineligible for an A are papers with 3 or more grammatical errors
33 (1) All nations possessing nuclear weapons are UN members.
Which of the following is the converse of (1)?
a) All UN members are nations possessing nuclear weapons
b) Some nations possessing nuclear weapons are not UN members
c) No nations possessing nuclear weapons are non-UN members
34 (1) Some corporations are exempt from taxes.
Which of the following is the obverse of (1)?
a) Some noncorporations are exempt from taxes
b) Some corporations are not nonexempt from taxes
c) No corporation is exempt from taxes
35 (1) No over-the-counter medicines are subject to FDA regulation.
Which of the following is the contrary of (1)?
a) All over-the-counter medicines are subject to FDA regulation
b) Some over-the-counter medicines are subject to FDA regulation
c) Some things subject to FDA regulation are over-the-counter medicines



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