Uji Coba Tes Online : Logika Matematika

1. Diketahui: Premis (1) : Jika hari hujan, maka adik tidak ke sekolah. Premis (2) : Adik ke sekolah. Kesimpulan yang sah dari argumentasi di atas adalah..........

Adik sekolah

Hari hujan

Adik tidak sekolah

Hari tidak hujan

Hari hujan dan adik sekolah

The correct answer is "Hari tidak hujan." This conclusion can be drawn from the given premises. Premise (1) states that if it is raining, then the sibling does not go to school. Premise (2) states that the sibling goes to school. Therefore, the conclusion can be made that it is not raining.

Explanation

The correct answer is "Hari tidak hujan." This conclusion can be drawn from the given premises. Premise (1) states that if it is raining, then the sibling does not go to school. Premise (2) states that the sibling goes to school. Therefore, the conclusion can be made that it is not raining.

2. Kesimpulan dari tiga premis:

adalah..............

p

q

r

~ r

~ p

The conclusion drawn from the three premises is that ~p. This can be inferred by examining the premises and the logical relationship between them.

Explanation

The conclusion drawn from the three premises is that ~p. This can be inferred by examining the premises and the logical relationship between them.

3. Konvers dari "Jika Lela masuk kelas maka temannya senang" adalah … .

Jika temannya senang maka Lela masuk kelas

Jika temannya tidak senang maka Lella masuk kelas

Jika Lela tidak masuk kelas maka temannya susah

Jika Lela masuk ada temannya yang tidak senang

Jika Lela tidak masuk ada temannya tidak senang

The correct answer states that "If her friend is happy, then Lela goes to class." This is the correct conversion of the given statement "Jika Lela masuk kelas maka temannya senang" which means "If Lela goes to class, then her friend is happy." Therefore, the correct answer is "If her friend is happy, then Lela goes to class."

Explanation

The correct answer states that "If her friend is happy, then Lela goes to class." This is the correct conversion of the given statement "Jika Lela masuk kelas maka temannya senang" which means "If Lela goes to class, then her friend is happy." Therefore, the correct answer is "If her friend is happy, then Lela goes to class."

4. Negasi dari "Semua teman menyenangkan" adalah … .

Ada teman yang menyusahkan.

Semua teman menyusahkan.

Ada teman yang menyenangkan.

Semua teman sama saja.

Ada teman yang lucu.

The correct answer is "Ada teman yang menyusahkan." This is because the negation of "Semua teman menyenangkan" (All friends are enjoyable) would be "Tidak semua teman menyenangkan" (Not all friends are enjoyable), which implies that there are some friends who are not enjoyable, or in other words, there are friends who are troublesome. Therefore, the correct negation is "Ada teman yang menyusahkan" (There are friends who are troublesome).

Explanation

The correct answer is "Ada teman yang menyusahkan." This is because the negation of "Semua teman menyenangkan" (All friends are enjoyable) would be "Tidak semua teman menyenangkan" (Not all friends are enjoyable), which implies that there are some friends who are not enjoyable, or in other words, there are friends who are troublesome. Therefore, the correct negation is "Ada teman yang menyusahkan" (There are friends who are troublesome).

5. Negasi dari "Ia rajin dan pandai" adalah … .

Ia malas atau tidak pandai

Ia malas dan tidak pandai

Ia malas tetapi pandai

Ia rajin tetapi tidak pandai

Ia rajin atau pandai

The negation of "Ia rajin dan pandai" is "Ia malas atau tidak pandai" because it presents the opposite meaning of the original statement. The original statement implies that the person is both diligent and intelligent, while the negation suggests that the person is either lazy or not intelligent.

Explanation

The negation of "Ia rajin dan pandai" is "Ia malas atau tidak pandai" because it presents the opposite meaning of the original statement. The original statement implies that the person is both diligent and intelligent, while the negation suggests that the person is either lazy or not intelligent.

6. "Jika Ali belajar maka nilai matematikanya lebih dari 60" ekuivalen dengan … .

Jika Ali belajar maka ia pandai

Jika nilai matematika Ali kurang dari 60 maka ia tidak belajar

Jika nilai matematika Ali lebih besar dari 60 maka ia belajar

Jika Ali belajar maka ia mendapat nilai matematika bagus

Jika Ali tidak belajar maka nilai matematika kurang dari 60

The given correct answer states that if the math score of Ali is less than 60, then it implies that he did not study. This can be inferred from the given statements, where it is mentioned that if Ali studies, his math score is greater than 60. Therefore, if his math score is less than 60, it means he did not study.

Explanation

The given correct answer states that if the math score of Ali is less than 60, then it implies that he did not study. This can be inferred from the given statements, where it is mentioned that if Ali studies, his math score is greater than 60. Therefore, if his math score is less than 60, it means he did not study.

7. Negasi "Jika semua anak senang belajar maka ada guru yang sedih" adalah......

Jika semua anak senang balajar maka semua guru senang.

Jika semua guru senang maka semua anak senang belajar.

Jika semua anak senang belajar maka semua guru susah.

Semua anak senang belajar dan semua guru senang.

Semua anak senang belajar dan ada guru yang senang.

The correct answer states that if all the children are happy learning, then all the teachers are happy. This is a valid conclusion because it follows the given negation statement that if all the children are happy learning, then there is a teacher who is sad. By negating this statement, we can conclude that if all the children are happy learning, then all the teachers are happy.

Explanation

The correct answer states that if all the children are happy learning, then all the teachers are happy. This is a valid conclusion because it follows the given negation statement that if all the children are happy learning, then there is a teacher who is sad. By negating this statement, we can conclude that if all the children are happy learning, then all the teachers are happy.

8. Negasi dari "Jika Arif sibuk maka ia kaya" adalah … .

Arif sibuk dan kaya

Arif penganggur tetapi kaya

Arif sibuk atau kaya

Arif sibuk dan ia miskin

Arif penganggur dan miskin

The negation of "Jika Arif sibuk maka ia kaya" is "Arif sibuk dan ia miskin". This means that if Arif is busy, then he is not rich.

Explanation

The negation of "Jika Arif sibuk maka ia kaya" is "Arif sibuk dan ia miskin". This means that if Arif is busy, then he is not rich.

9. Kontraposisi dari "

" adalah.........

not-available-via-ai

Explanation

not-available-via-ai

10. Invers dari kontraposisi "

" adalah........

Invers dari kontraposisi adalah implikasi yang terbentuk dari membalikkan kedua proposisi dan mengubah keduanya menjadi negasi. Dalam hal ini, jika kontraposisi adalah "jika tidak B maka tidak A", maka inversnya akan menjadi "jika A maka B". Ini berarti bahwa jika A benar, maka B juga harus benar.

Explanation

Invers dari kontraposisi adalah implikasi yang terbentuk dari membalikkan kedua proposisi dan mengubah keduanya menjadi negasi. Dalam hal ini, jika kontraposisi adalah "jika tidak B maka tidak A", maka inversnya akan menjadi "jika A maka B". Ini berarti bahwa jika A benar, maka B juga harus benar.