1. A∨B
2. ~B
1. ~A
2. B
3. A
4. Neither rule can be applied.
1. R∨S
2. ~R
1. S
2. ~S
3. S∨R
4. Neither rule can be applied.
1. M∨N
2. ~N
1. ~M
2. M
3. ~~M
4. Neither rule can be applied.
1. T∨U
2. ~T
1. U
2. ~U
3. ~T
4. Neither rule can be applied.
1. G∨H
2. ~~H
1. G
2. ~G
3. ~H
4. Neither rule can be applied.
1. E→F
2. ~F
1. E
2. ~E
3. ~~E
4. Neither rule can be applied.
1. ~W∨M
2. M
1. W
2. ~W
3. ~~W
4. Neither rule can be applied.
1. ~A∨B
2. ~B
1. ~A
2. ~~A
3. A
4. Neither rule can be applied.
1. ~J∨~K
2. ~~K
1. ~~J
2. ~J
3. J
4. Neither rule can be applied.
1. R∨~S
2. ~R
1. S
2. ~S
3. ~~S
4. Neither rule can be applied.
1. ~Y→Z
2. Z
1. ~Y
2. Y
3. ~~Y
4. Neither rule can be applied.
1. ~T∨~U
2. ~U
1. ~T
2. ~~T
3. T
4. Neither rule can be applied.
1. ~A→~B
2. ~~B
1. ~A
2. ~~A
3. A
4. Neither rule can be applied.
1. ~A∨~~B
2. ~~B
1. ~A
2. A
3. ~~A
4. Neither rule can be applied.
1. ~R∨~S
2. ~~R
1. S
2. ~S
3. ~~S
4. Neither rule can be applied.
1. ~K∨~~L
2. ~~K
1. L
2. ~L
3. ~~L
4. Neither rule can be applied.
1. M∨~~N
2. ~M
1. N
2. ~N
3. ~~N
4. Neither rule can be applied.
1. ~~T∨~~U
2. ~~T
1. U
2. ~U
3. ~~U
4. Neither rule can be applied.
1. ~E→F
2. ~F
1. E
2. ~E
3. ~~E
4. Neither rule can be applied.
1. A∨~B
2. B
1. ~A
2. ~~A
3. A
4. Neither rule can be applied.
1. C→~D
2. D
1. C
2. ~C
3. ~~C
4. Neither rule can be applied.
1. ~~M∨~N
2. ~~N
1. M
2. ~~M
3. ~M
4. Neither rule can be applied.
1. R∨S
2. ~~~R
1. S
2. ~S
3. ~~S
4. Neither rule can be applied.
1. (A&B)∨C
2. ~C
1. A&B
2. ~(A&B)
3. ~~(A&B)
4. ~A&B
5. Neither rule can be applied.
1. (~M&N)∨O
2. ~(~M&N)
1. O
2. ~O
3. ~~O
4. O∨(~M&N)
5. Neither rule can be applied.
1. (B∨C)→~D
2. ~~D
1. B∨C
2. ~(B∨C)
3. ~B∨C
4. ~~(B∨C)
5. Neither rule can be applied.
1. A∨~(B∨C)
2. ~A
1. B∨C
2. ~B∨C
3. ~~(B∨C)
4. ~(B∨C)
5. Neither rule can be applied.
1. T∨(U→V)
2. ~(U→V)
1. T
2. ~T
3. ~~T
4. T∨U
5. Neither rule can be applied.
1. ~(D∨E)∨(F&G)
2. ~(F&G)
1. D∨E
2. ~(D∨E)
3. ~D∨E
4. ~~(D∨E)
5. Neither rule can be applied.
1. (~V&~W)∨(~T∨U)
2. ~(~V&~W)
1. ~T∨U
2. ~(~T∨U)
3. ~(T∨U)
4. ~~(~T∨U)
5. Neither rule can be applied.
1. (~A∨B)→(C∨~D)
2. ~~(C∨~D)
1. ~A∨B
2. ~(~A∨B)
3. ~~(~A∨B)
4. ~(A∨B)
5. Neither rule can be applied.
1. ~(~Q→R)∨(S→~T)
2. ~(~Q→R)
1. S→~T
2. ~(S→~T)
3. ~~(S→~T)
4. ~S→~T
5. Neither rule can be applied.
1. ~(~E&G)→~(~H∨I)
2. ~~(~H∨I)
1. ~E&G
2. ~(~E&G)
3. ~(E&G)
4. ~~(~E&G)
5. Neither rule can be applied.
1. ~~(~J∨~K)∨~(L∨~~M)
2. ~~~(~J∨~K)
1. L∨~~M
2. ~(L∨~~M)
3. ~~(L∨~~M)
4. ~L∨~~M
5. Neither rule can be applied.
1. ~~(~C→D)∨~(~E&F)
2. ~(~C→D)
1. ~(E&F)
2. ~E&F
3. ~~(~E&F)
4. ~(~E&F)
5. Neither rule can be applied.
1. ~(~A∨B)∨~~(~C∨D)
2. ~~(~A∨B)
1. ~(C∨D)
2. ~(~C∨D)
3. ~~(~C∨D)
4. ~~~(~C∨D)
5. Neither rule can be applied.

This exercise focuses mainly on Disjunctive Argument (DA) but a few Modus Tollens (MT) problems are included because students often confuse these rules. For each question decide whether DA or MT may be applied and choose the correct answer.