Latihan Soal Matematika : Himpunan
Latihan soal untuk menambah pemahaman materi tentang Himpunan bagi siswa SMP kelas 7
Questions and Answers
- 1.
Jika P={bilangan prima kurang dari 18} dan Q={bilangan ganjil antara 3 dan 13}, maka semua anggota himpunan adalah ...
- A.
{5,7,11}
- B.
{5,7,13}
- C.
{3,5,7,11}
- D.
{5,7,11,13}
Correct Answer
A. {5,7,11}Explanation
The set P represents prime numbers less than 18, and the set Q represents odd numbers between 3 and 13. The question asks for the set that contains all the elements of both sets P and Q. Looking at the options, the set {5,7,11} is the only set that contains all the elements of both sets P and Q. Therefore, the correct answer is {5,7,11}.Rate this question:
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- 2.
Diketahui himpunan A adalah himpunan alat tulis menulis yang dimiliki siswa. Manakah diantara pernyataan berikut ini yang salah?
- A.
Pensil A
![Latihan Soal Matematika : Himpunan - Quiz]()
- B.
Bola basket A
![Latihan Soal Matematika : Himpunan - Quiz]()
- C.
Penghapus A
![Latihan Soal Matematika : Himpunan - Quiz]()
- D.
Buku tulis A
![Latihan Soal Matematika : Himpunan - Quiz]()
Correct Answer
D. Buku tulis AExplanation
The given statement that is incorrect is "buku tulis A." This is because "buku tulis" is not a writing tool, but a type of notebook or exercise book. The other options, "pensil A," "bola basket A," and "penghapus A," are all writing tools that can be included in the set A.Rate this question:
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- 3.
Manakah diantara pernyataan berikut yang merupakan penyajian himpunan dengan cara mendaftar?
- A.
B = {himpunan nama bulan yang diawali huruf J}
- B.
B = himpunan nama bulan yang diawali dengan huruf J
- C.
B = {Januari, Juni, Juli}
- D.
B = {x|x diawali huruf J, x nama-nama bulan}
![Latihan Soal Matematika : Himpunan - Quiz]()
Correct Answer
C. B = {Januari, Juni, Juli}Explanation
The correct answer is B = {Januari, Juni, Juli}. This is the correct way of representing a set by listing its elements. The set B is defined as the set of month names that start with the letter J, and the elements of this set are explicitly listed as Januari, Juni, and Juli.Rate this question:
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- 4.
Manakah diantara himpunan berikut yang merupakan himpunan berhingga?
- A.
S = {0,1,2,3,...}
- B.
P = {1,2,3, ... ,110}
- C.
Q = { ...,-3,-2,-1,0}
- D.
R = {...,-3,-2,-1,0,1,...}
Correct Answer
B. P = {1,2,3, ... ,110}Explanation
The set P = {1,2,3, ... ,110} is a finite set because it contains a specific number of elements, which are the numbers from 1 to 110. The other sets S, Q, and R are all infinite sets because they either include all natural numbers (set S), all negative and non-negative integers (set Q), or all integers (set R), which means they have an infinite number of elements. Therefore, the correct answer is P = {1,2,3, ... ,110} because it is the only set that is finite.Rate this question:
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- 5.
Perhatikan diagram venn diatas, anggota dari adalah...
- A.
{1,2,3,4,5,7,8,10]
- B.
{3,6}
- C.
{1,2,3,4,5,6,9,12}
- D.
{7,8,10,11}
Correct Answer
C. {1,2,3,4,5,6,9,12}Explanation
The correct answer is {1,2,3,4,5,6,9,12} because it is the only set that includes elements from all the other sets in the Venn diagram.Rate this question:
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- 6.
Anggota dari A' adalah ...
- A.
{1,2,3,4,5}
- B.
{1,2,4,5}
- C.
{7,8, 10, 11}
- D.
{7,8,9,10,11,12}
Correct Answer
D. {7,8,9,10,11,12}Explanation
The correct answer is {7,8,9,10,11,12} because it is the only option that includes all the elements from set A'. The other options either have missing elements or include extra elements that are not part of A'.Rate this question:
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- 7.
Jika semua anggota himpunan A menjadi anggota himpunan B, maka dikatakan behwa ...
- A.
![Latihan Soal Matematika : Himpunan - Quiz]()
- B.
![Latihan Soal Matematika : Himpunan - Quiz]()
- C.
![Latihan Soal Matematika : Himpunan - Quiz]()
- D.
![Latihan Soal Matematika : Himpunan - Quiz]()
Correct Answer
C. -
- 8.
Diketahui A={1,2,3}, B={2,3,4,5}, C={0,1,2,3,4}, dan D = { }. Diantara pernyataan berikut yang benar adalah ...
- A.
D A
![Latihan Soal Matematika : Himpunan - Quiz]()
- B.
A B
![Latihan Soal Matematika : Himpunan - Quiz]()
- C.
B C
![Latihan Soal Matematika : Himpunan - Quiz]()
- D.
C D
![Latihan Soal Matematika : Himpunan - Quiz]()
Correct Answer
A. D AExplanation
The correct answer is D A because it states that D is a subset of A. In set theory, a subset is a set that contains elements that are also found in another set. In this case, since D is an empty set, it does not contain any elements. Therefore, it can be considered a subset of any set, including A.Rate this question:
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- 9.
Diketahui A = {2,3,5,7} dan B = {1,2,3,4,5} Anggota dari A - B adalah ...
- A.
{7}
- B.
{1,4}
- C.
{1,2,3,4,5}
- D.
{2,3,5,7}
Correct Answer
A. {7}Explanation
The answer {7} is correct because to find the set difference A - B, we need to remove all the elements from set B that are also present in set A. In this case, the only element in set A that is not in set B is 7. Therefore, the set difference A - B is {7}.Rate this question:
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- 10.
Jika A = {a,b,c} dan B = {a,b,c,d,e}, maka pernyataan yang salah adalah ...
- A.
A B = {a,b,c}
![Latihan Soal Matematika : Himpunan - Quiz]()
- B.
A B = {a,b,c,d,e}
![Latihan Soal Matematika : Himpunan - Quiz]()
- C.
N(A) = 4
- D.
B - A = {d,e}
Correct Answer
C. N(A) = 4Explanation
The given statement "n(A) = 4" is incorrect because the cardinality of set A is actually 3, not 4. The set A contains the elements a, b, and c, so the number of elements in set A is 3.Rate this question:
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- 11.
Jika P = {d,e,f} maka banyaknya himpunan bagian yang mungkin dari P adalah ...
- A.
3
- B.
6
- C.
8
- D.
9
Correct Answer
C. 8Explanation
The correct answer is 8 because when we have a set with 3 elements (d, e, f), the number of possible subsets can be found by using the formula 2^n, where n is the number of elements in the set. In this case, 2^3 = 8, so there are 8 possible subsets of the set P.Rate this question:
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- 12.
Dalam satu RT terdiri dari 60 warga, 20 warga berlangganan majalah, 35 warga berlangganan koran dan 5 warga berlangganan keduanya. Berapa orang warga yang tidak berlangganan kedua-duanya?
- A.
15 warga
- B.
30 warga
- C.
55 warga
- D.
10 warga
Correct Answer
D. 10 wargaExplanation
There are 20 residents who subscribe to magazines, 35 residents who subscribe to newspapers, and 5 residents who subscribe to both. To find the number of residents who do not subscribe to both, we subtract the number of residents who subscribe to both from the total number of residents who subscribe to either magazines or newspapers. Therefore, the number of residents who do not subscribe to both is 20 + 35 - 5 = 50. Therefore, the correct answer is 10 residents.Rate this question:
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- 13.
Sekelompok siswa terdiri dari 50 orang, setelah di data ternyata 20 orang suka bermain basket, 33 orang suka bermain futsal, dan 5 orang tidak suka bermain kedua-duanya. Banyaknya siswa yang suka bermain basket dan futsal sekaligus adalah ... orang
- A.
45
- B.
25
- C.
15
- D.
8
Correct Answer
D. 8Explanation
Dari data yang diberikan, terdapat 20 orang yang suka bermain basket dan 33 orang yang suka bermain futsal. Namun, 5 orang di antara mereka tidak suka bermain kedua-duanya. Oleh karena itu, banyaknya siswa yang suka bermain basket dan futsal sekaligus adalah 20 + 33 - 5 = 48.Rate this question:
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- 14.
Diketahui A = {1,2,3,4,5}, B = { 2,4,6,8}, dan S = {1,2,3,4, ... , 10} Anggota dari adalah ...
- A.
{1,2,3,4,5,6,8}
- B.
{7,9,10}
- C.
{2,4}
- D.
{9,10}
Correct Answer
B. {7,9,10}Explanation
The answer {7,9,10} is correct because S is defined as the set of numbers from 1 to 10. However, the numbers 1, 2, 3, 4, 5, 6, and 8 are already included in set A. Therefore, the remaining numbers that are in S but not in A are 7, 9, and 10.Rate this question:
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Mar 22, 2023Quiz Edited by
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May 18, 2013Quiz Created by
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