Question $1$

$1.$ Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory.

F $($T $$ H$)$

F $$ T $$ H

$($F $$ T$)$ H

$($F $$ T$)$ H

Question $2$

$1.$ If Chrysler increases sales, then it is not the case that both Mercedes introduces a new model and Nissan lays off workers.

C $($M $$N$)$

$($C $$M$)$ N

C $($M $$ N$)$

C $$M $$N

$($M $$ N$)$ C

Question $3$

$1.$ If Nissan lays off workers and Toyota closes a factory, then neither Honda nor Fiat reduces inventory.

N $[$T $($H $$ F$)]$

$($N $$ T$)($H $$ F$)$

$($N $$ T$)($H $$ F$)$

$($N $$ T$)($H $$F$)$

N $[$T $($H $$F$)]$

Question $4$

$1.$ Either Chrysler's increasing sales is a necessary condition for Toyota's closing a factory or Nissan's laying off workers is a sufficient condition for Honda's reducing inventory.

T $[$C $($N $$ H$)]$

$($C $$ T$)($N $$ H$)$

$($T $$ C$)($N $$ H$)$

T $[$C $($N $$ H$)]$

$($C $$ T$)($H $$ N$)$

Question $5$

$1.$ Honda reduces inventory if and only if Mercedes does not introduce a new model, unless Toyota closes a factory.

$($H $$M$)($M $$ T$)$

$($H $$M$)$ T

T $($H $$M$)$

H $($M $$ T$)$

$($H $$M$)$ T

Question $6$

$1.$ The fundamental unit of statement logic.

Compound statements

Conditional statements

Necessarily true statements

Atomic statements

Question $7$

$1.$ What is the main operator of the following statement: $[($A $$ Y$)($X $$ B$)][($A $$ X$)($B $$ X$)]$

Double Arrow

Vee

Arrow

Tilde

Dot

Question $8$

$1.$ What is the main operator of the following statement: $[($A $$ X$)($Y $$ B$)][($X $$ B$)($A $$ Y$)]$

Double Arrow

Vee

Arrow

Tilde

Dot

Question $9$

$1.$ It is easier for a conditional to be true versus a conjunction.

True

False

Question $10$

$1.$ A statement is a $[$blank$]$ if and only if it is false on every assignment of truth values to its atomic components.

tautology

contradiction

contingent

consistent

Question $11$

$1.$ Two statements are $[$blank$]$ if and only if they agree in truth value on every assignment of truth values to their atomic components.

logically equivalent

logically contradictory

Logically consistent

logically inconsistent

Question $12$

$1.$ A statement is $[$blank$]$ if and only if it is true on some assignments of truth values to its atomic components and false on others.

tautology

contradiction

contingent

consistent

Question $13$

$1.$ A biconditional jointly expresses a necessary condition and what?

negative condition

sufficient condition

possible condition

all of the above

Question $14$

$1.$ Two statements are $[$blank$]$ if and only if they are never both true on any assignment of truth values to their atomic components.

logically equivalent

logically necessary

logically consistent

logically inconsistent

Question $15$

$1.$ What is the main operator of the following statement: ~$[$~K $($~J $$ H$)]$

dot

arrow

double arrow

tilde

vee

Question $16$

$1.$ An either$/$or statement is called what?

conjunction

disjunction

conditional

negation

Question $17$

$1.$ An if and only if statement is called what?

conjunction

disjunction

conditional

biconditional

Question $18$

$1.$ Which kind of statement captures sufficient conditions.

Conjunctive

Disjunctive

Conditional

Negation

Question $19$

$1.$ It is easier for a disjunction to be true in comparion to a conjunction.

True

False

Question $20$

$1.$ What is the main operator in the following sentence?

$[($A $$ X$)($Y $$ B$)][($X $$ B$)($A $$ Y$)]$

Dot

Tilde

Arrow

Vee