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Himpunan huruf pembentuk kata "BINATANG" adalah ... .
A.
{b, i, n, a, t, g}
B.
{b, i, n, t, a, n, g}
C.
{b, i, n, a, t, a, n, g}
D.
{b, i, n, a}
Correct Answer A. {b, i, n, a, t, g}
Explanation The correct answer is {b, i, n, a, t, g}. This is because the word "BINATANG" is spelled using these letters.
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2.
Anggota dari B = {x < 50, x anggota bilangan kuadrat} adalah ... .
A.
{1, 4, 9, 16, 25, 36, 49}
B.
{4, 9, 16, 25, 36, 49}
C.
{64, 81, 100, 121, ...}
D.
{1, 2, 3, 4, 5, 6, 7}
Correct Answer A. {1, 4, 9, 16, 25, 36, 49}
Explanation The correct answer is {1, 4, 9, 16, 25, 36, 49}. This is because the question states that the members of set B are numbers that are less than 50 and are perfect squares. The set {1, 4, 9, 16, 25, 36, 49} satisfies both conditions as all the numbers are less than 50 and are perfect squares.
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3.
Diketahui : P = {Bilangan kelipatan 5 antara 11 dan 32}.
Banyaknya anggota P yang merupakan bilangan genap adalah ... .
A.
4
B.
3
C.
2
D.
1
Correct Answer C. 2
Explanation The set P consists of the multiples of 5 between 11 and 32. To determine the number of even numbers in P, we need to determine which multiples of 5 are even. Multiples of 5 that are even are those that are divisible by 10. The multiples of 5 between 11 and 32 that are divisible by 10 are 10, 20, and 30. Therefore, there are 2 even numbers in set P.
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4.
Jika A = {Huruf pembentuk kata "PENDIDIKAN"}, maka n(A) adalah ... .
A.
10
B.
9
C.
8
D.
7
Correct Answer D. 7
Explanation The question asks for the number of elements in the set A, which consists of the letters used to form the word "PENDIDIKAN". The word "PENDIDIKAN" has 10 letters in total, but since the set A only includes distinct letters, the repeated letters are not counted. Therefore, the set A has 7 elements.
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5.
Jika himpunan P mempunyai 32 himpunan bagian, maka n(P) adalah ... .
A.
6
B.
5
C.
4
D.
3
Correct Answer B. 5
Explanation The correct answer is 5. This is because the number of subsets of a set with n elements is given by 2^n. In this case, if P has 32 subsets, then n(P) = 5, as 2^5 = 32.
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6.
Diketahui S = {Bilangan genap yang kurang dari 20}, A = {Bilangan kelipatan 2 yang kurang dari 20}.
Komplemen dari A adalah ... .
A.
{2}
B.
Himpunan kosong
C.
{2, 3, 6, 8, 10, 12, 14, 16, 18}
D.
{1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
Correct Answer B. Himpunan kosong
Explanation The complement of set A is the set of all elements in the universal set that are not in set A. In this case, the universal set is the set of even numbers less than 20, and set A is the set of multiples of 2 less than 20. Since there are no even numbers that are not multiples of 2, the complement of set A is the empty set.
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7.
Diketahui :
(i) Kumpulan hewan-hewan kecil.
(ii) Kumpulan hewan berkaki empat.
(iii) Kumpulan sungai-sungai yang panjang.
(iv) Kumpulan lukisan-lukisan yang bagus.
Diantara kumpulan-kumpulan di atas, yang merupakan himpunan adalah ... .
A.
(i)
B.
(ii)
C.
(iii)
D.
(iv)
Correct Answer B. (ii)
Explanation The question asks for the group that represents a set. A set is a collection of distinct elements, and option (ii) "Kumpulan hewan berkaki empat" represents a specific group of animals with a common characteristic, which can be considered a set. Options (i), (iii), and (iv) do not represent sets as they do not specify distinct elements or a common characteristic.
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8.
Himpunan di bawah ini yang bukan merupakan himpunan bagian dari L = {2, 3, 5} adalah ... .
A.
{himpunan kosong}
B.
HImpunan kosong
C.
{2, 5}
D.
{2, 3, 5}
Correct Answer A. {himpunan kosong}
Explanation The given correct answer is {himpunan kosong}. This is because the empty set, or himpunan kosong, is always a subset of any set, including the set L = {2, 3, 5}. Therefore, {himpunan kosong} is not a proper subset of L, but rather a subset of L.
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9.
Dari 42 siswa kelas VII SMP Katolik St.Yoseph Kepanjen, terdapat 26 siswa gemar matematika, 15 siswa gemar IPA, dan 8 siswa gemar keduanya. Banyaknya siswa yang tidak gemar matematika dan IPA adalah ... .
A.
9 siswa
B.
8 siswa
C.
7 siswa
D.
6 siswa
Correct Answer A. 9 siswa
Explanation From the given information, we know that there are 26 students who like mathematics and 15 students who like science. However, 8 students like both subjects. To find the number of students who do not like both subjects, we need to subtract the number of students who like both subjects from the total number of students who like mathematics and science. Therefore, the number of students who do not like mathematics and science is 26 + 15 - 8 = 33.
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10.
Pada suatu agen koran dan majalah terdapat 18 orang berlangganan koran dan majalah, 24 orang berlangganan majalah, dan 36 orang berlangganan koran. Banyaknya seluruh pelanggan agen tersebut adalah ... .
A.
40 orang
B.
42 orang
C.
60 orang
D.
78 orang
Correct Answer B. 42 orang
Explanation The total number of customers can be calculated by adding the number of customers who subscribe to both the newspaper and magazine, the number of customers who only subscribe to the magazine, and the number of customers who only subscribe to the newspaper. Therefore, the total number of customers is 18 + 24 + 36 = 78.
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