1.
Jika operasi a ^ b = a (a – b), maka nilai 6 ^ ( 3 ^ 2) = . . .
b
Correct Answer
D. 18
Explanation
The given expression is 6 ^ (3 ^ 2). According to the given operation, a ^ b = a (a - b). So, we can rewrite the expression as 6 ^ (3 - 2). Evaluating the exponent first, we get 6 ^ 1. Applying the operation again, we have 6 (6 - 1) = 6 * 5 = 30. Therefore, the correct answer is 30.
2.
Jika a-3 = 27 dan b-5 = 32 maka
Correct Answer
B. (1/a) . ( 1/b) = (1/6)
Explanation
The expression (1/a) . (1/b) = (1/6) represents the product of the reciprocal of a and the reciprocal of b, which is equal to 1/6. This can be understood by considering the concept of fractions. When two fractions are multiplied, the numerator of one fraction is multiplied by the numerator of the other fraction, and the denominator of one fraction is multiplied by the denominator of the other fraction. In this case, the numerator of (1/a) is 1 and the numerator of (1/b) is also 1. The denominator of (1/a) is a, and the denominator of (1/b) is b. Therefore, when (1/a) and (1/b) are multiplied, we get 1/a.b, which is equal to 1/6 according to the given expression.
3.
51,172 – 48,832 = . . .
Correct Answer
B. 234
Explanation
The correct answer is 234 because when you subtract 48,832 from 51,172, you subtract each digit individually starting from the right. 2 minus 2 is 0. 7 minus 3 is 4. 1 minus 8 is -7, but since we can't have a negative digit, we borrow 1 from the tens place, making it 11 minus 8 which is 3. Finally, 5 minus 4 is 1. So, the result is 234.
4.
Manakah diantara bilangan ini yang paling besar nilainya
Correct Answer
A. 89% dari 51
Explanation
To find the largest value among these options, we need to calculate the actual values of each percentage. 89% of 51 is 45.39, 39% of 98 is 38.22, 69% of 71 is 49.09, and 79% of 59 is 46.61. Therefore, the largest value is 89% of 51.
5.
Dari 60 orang anak diketahui bahwa 37 orang diantaranya menyukai sayuran, 19 orang menyukai ikan dan x orang tidak meyukai keduanya. Berapa orang anak yang menyukai sayuran dan ikan ?
Correct Answer
B. X – 4
Explanation
From the given information, we know that there are 37 children who like vegetables and 19 children who like fish. We also know that there are x children who do not like either vegetables or fish. To find the number of children who like both vegetables and fish, we subtract the number of children who do not like either from the total number of children. Therefore, the correct answer is x - 4.
6.
Sebuah film dokumenter menayangkan perihal gempa bumi dan seberapa sering gempa bumi terjadi. Film itu mencakup diskusi tentang keterkiraan gempa bumi.
Seorang ahli geologi menyatakan: “Dalam dua puluh tahun ke depan, peluang bahwa sebuah gempa bumi akan terjadi di Kota Zed adalah dua per tiga.”
Manakah di bawah ini yang paling mencerminkan maksud pernyataan ahli geologi tersebut?
Correct Answer
C.
Explanation
Pernyataan ahli geologi tersebut mengindikasikan bahwa dalam dua puluh tahun ke depan, peluang terjadinya gempa bumi di Kota Zed adalah sebesar dua per tiga. Ini berarti bahwa kemungkinan terjadinya gempa bumi di Kota Zed lebih besar daripada tidak terjadi gempa bumi.
7.
Misalkan jumlah siswa di kelas A (nA) adalah 40 , rata – rata nilai di kelas A (xA) adalah 87. Jika jumlah siswa di kelas B adalah nB dan xB adalah rata – rata nilai di kelas B, berapakah rata – rata nilai kedua kelas tersebut ?
Putuskan apakah pernyataan [1] dan [2] berikut cukup untuk menjawab pertanyaan tersebut.
- nB = 42
- jumlah seluruh nilai masing – masing siswa di kelas = 320
Correct Answer
D. Pernyataan [1] SAJA cukup untuk menjawab pertanyaan dan pernyataan [2] SAJA cukup.
Explanation
The statement [1] alone is sufficient to answer the question because it provides the information about the number of students in class B, which is nB = 42. However, the statement [2] alone is also sufficient to answer the question because it gives the total sum of all the students' grades in both classes, which is 320. Therefore, both statements together are enough to determine the average grades of both classes.
8.
Misalkan ABC adalah segitiga siku – siku di B , dan suatu lingkaran yang berjari – jari r cm. manakah diantara kedua bangun tersebut yang luasnya paling besar ?
Putuskan apakah pernyataan [1] dan [2] berikut cukup untuk menjawab pertanyaan tersebut.
- AB = AC = r
- Keliling segitiga ABC = keliling lingkaran
Correct Answer
A. Pernyataan [1] SAJA cukup untuk menjawab pertanyaan, tetapi pernyataan [2] SAJA tidak cukup.
Explanation
The statement [1] alone is sufficient to answer the question because it states that AB = AC = r, which means that the triangle ABC is an isosceles right triangle. In an isosceles right triangle, the ratio of the sides is 1:1:√2. Therefore, we can determine the length of the sides and calculate the area of the triangle. On the other hand, statement [2] alone is not sufficient because it only states that the perimeter of the triangle is equal to the circumference of the circle, but it does not provide any information about the lengths of the sides.
9.
Jika x , y, 2 tiga suku awal dari barisan geometri tak hingga, maka ;
- Rasio nya kurang dari 1 tetapi lebih dari – 1
- x > y > 2
- x -1 < y -1
- 4 – 2x bernilai negatif
Correct Answer
E. SEMUA pilihan benar.
Explanation
The given statements provide information about the values of x and y in a geometric sequence. From the first statement, we know that the ratio of the sequence is less than 1 but greater than -1. The second statement tells us that x is greater than y, and the third statement implies that x - 1 is less than y - 1. Finally, the fourth statement states that 4 - 2x is negative. All of these statements are true, so the correct answer is that all options are correct.
10.
Tersedia empat kursi yang disusun berjajar dengan setiap kursi ditempati paling banyak satu orang. Manakah hubungan yang benar antara kuantitas P dan Q berikut berdasarkan informasi yang diberikan ?
P
Q
Banyak susunan empat orang duduk pada kursi yang disediakan
16
Correct Answer
A. P > Q
Explanation
Based on the given information, it is stated that there are four seats arranged in a row and each seat can be occupied by at most one person. The answer P > Q means that there are more possible arrangements for four people to sit in the available seats than the number 16. Since the number 16 is given as the answer for Q, it implies that there are fewer possible arrangements for four people to sit in the available seats than the number 16. Therefore, P > Q is the correct answer.