Logical Problem Sets
Higher category: 【Logic】 Logic Index
Q2. Suppose the government has established the following basic policy regarding whether to proceed with four national projects, A, B, C, and D: If A is carried out, B will also be carried out. If C is carried out, D will also be carried out. At least one of A or C will be carried out. Which of the following is not necessarily true?
① At least two projects will be carried out. ② If it is decided not to carry out A, then exactly two projects will be carried out. ③ If it is decided not to carry out B, then C will be carried out. ④ If it is decided not to carry out C, then B will be carried out. ⑤ If it is decided not to carry out D, then whether the other three projects will be carried out is also completely determined.
A2. ②
B2. Gathering all the true statements you can obtain: A → B, ~A → C, ~A → D, ~B → ~A, ~B → C, ~B → D, C → D, ~C → A, ~C → B, ~D → A, ~D → B, ~D → ~C
Q3. Officers A, B, C, D, and E will attend the meeting subject to the following conditions. Which of the following is not necessarily true? If A attends the meeting, B also attends. If A attends, E also attends, and if C attends, E also attends. If D attends, B also attends. If C does not attend, B does not attend.
A3. ②
B3. Gathering all the true statements you can obtain: A → B, A → C, A → E, B → C, B → E, ~B → ~A, ~B → ~D, C → E, ~C → ~A, ~C → ~B, ~C → ~D, D → B, D → C, D → E, ~E → ~A, ~E → ~B, ~E → ~C, ~E → ~D
Input: 2026.02.21 16:40