Soal Remidial : Logika Matematika

Based on the given premises, it is stated that if someone is a high school student, then they wear a gray and white uniform. It is also stated that Andi does not wear a gray and white uniform. Therefore, it can be concluded that Andi is not a high school student.

The conclusion that can be drawn from the given premises is that there is no damage to the engine. This can be inferred because the first premise states that if there is damage to the engine, the car cannot move. However, the second premise states that the car is able to move. Therefore, it can be concluded that there is no damage to the engine.

The correct answer is "Beberapa papan tulis tidak berwarna hitam" because it is the only statement that acknowledges the possibility of some whiteboards not being black. The other statements either deny the possibility of any black whiteboards or imply that all whiteboards are not black.

The conclusion that can be drawn from the given premises is "Harta benda Andi tidak terbawa banjir" (Andi's belongings were not carried away by the flood). This conclusion is valid because the first premise states that if Andi's belongings are carried away by the flood, then he will suffer. However, the second premise states that Andi did not suffer. Therefore, it can be concluded that Andi's belongings were not carried away by the flood.

The given correct answer is "Pernyataan". This is because a "pernyataan" refers to a statement or proposition that can be evaluated as either true or false. It is a declarative sentence that can be determined for its truth value. In contrast, the other options such as "kalimat terbuka" (open sentence) and "kalimat tertutup" (closed sentence) do not specifically refer to statements that can be evaluated for truth or falsehood. "Bukan pernyataan" means "not a statement" and "kalimat benar atau salah" means "sentence is true or false", but they do not capture the concept of a statement being either true or false.

The given correct answer is "Jika Rina tidak menikah maka Rina tidak lulus ujian." This is the contrapositive of the original statement. In logic, the contrapositive of a conditional statement switches the hypothesis and conclusion and negates both. So, if we negate the original statement "Jika Rina lulus ujian maka Rina akan menikah," we get "Jika Rina tidak menikah maka Rina tidak lulus ujian." This means that if Rina does not get married, then she will not pass the exam.

The given answer is the contrapositive of the statement "Jika Anda rajin belajar maka Anda menjadi pandai" (If you study hard, then you become smart). The contrapositive of a conditional statement switches the hypothesis and conclusion and negates both. So, the answer states that if you do not become smart, then you are not diligent in studying.

The correct answer is a logical deduction based on the given statements. It can be inferred from the statements that if Adi does not study, then it is the weekend. This is because the first statement states that if Adi does not study, then it is the weekend. Therefore, the correct answer is "Jika Adi tidak belajar maka malam minggu" which means "If Adi does not study, then it is the weekend."

The correct answer states that if Ardi is not prepared for the national exam, then he will not be able to solve the tryout questions correctly. This is equivalent to the given statement, as it maintains the same logical relationship between being prepared for the national exam and solving the tryout questions correctly.

An open sentence is a sentence that contains variables, and its truth value cannot be determined until the values of the variables are specified. It is called an open sentence because it is "open" or incomplete without the specific values of the variables. Therefore, the correct answer is "Kalimat terbuka".

The correct answer suggests that the negation of the statement "saya hadir dan Anda pergi" is "Saya tak hadir atau Anda tak pergi." This means that either I am not present or you are not leaving.

The correct answer is "Ani tidak senang bernyanyi atau senang olah raga" because it represents the negation of the statement "Ani senang bernyanyi dan tidak senang olah raga." The original statement states that Ani is happy singing and not happy doing sports. The negation of this statement would be that Ani is not happy singing or is happy doing sports.

The correct answer suggests that there are some congruent plane figures that do not have the same area. This means that even if two figures have the same shape and size, their areas can still be different.

The given statement "Satu minggu terdiri dari 6 hari" is correct. It means that a week consists of 6 days.

The conclusion that can be drawn from the given premises is that there are people who are not cautious about floods and landslides. This can be inferred from the fact that the first premise states that if everyone is cautious about floods and landslides, then the rainy season has arrived. Since the second premise states that the rainy season has not yet arrived, it implies that not everyone is cautious about floods and landslides. Therefore, the correct answer is "Ada orang tidak waspada banjir dan tanah longsor."