1.
Diketahui
Maka nilai b + ac = …
Correct Answer
D. 76
Explanation
The correct answer is 76 because the equation given is b + ac = 76. Since there are no other equations or restrictions provided, we can assume that the value of b and ac can be any real numbers. Therefore, by substituting any values for b and ac that satisfy the equation, we can find that the sum is equal to 76.
2.
Berapakah 4,5 % dari 455?
Correct Answer
C. 20,475
Explanation
To find 4.5% of 455, we can multiply 455 by 0.045. This calculation gives us 20.475, which is the correct answer.
3.
Sisa pembagian 32020 oleh 10 adalah …
Correct Answer
A. 1
Explanation
The remainder of dividing 32020 by 10 is 0. Therefore, the correct answer is 0.
4.
Sebuah survey dilakukan kepada 100 siswa dan didapatkan data sebagai berikut.
1. 65 siswa suka belajar matematika
2. 53 siswa suka belajar fisika
3. 28 siswa suka keduanya
Banyaknya siswa yang tidak suka keduanya adalah …
Correct Answer
C. 10
Explanation
Based on the given data, there are 65 students who like studying mathematics, 53 students who like studying physics, and 28 students who like both subjects. To find the number of students who do not like either subject, we can subtract the number of students who like both subjects from the total number of students. Therefore, the correct answer is 100 - 28 = 72.
5.
Perhatikan gambar dua buah persegi di bawah ini.
Jika keliling persegi kecil 32 cm dan luas daerah yang diarsir 225 cm, maka keliling persegi yg besar adalah … cm
Correct Answer
B. 68
Explanation
The perimeter of a square is equal to 4 times the length of one side. If the perimeter of the small square is 32 cm, then each side of the small square is 32 cm / 4 = 8 cm. The area of a square is equal to the length of one side squared. If the area of the shaded region is 225 cm, then the length of one side of the shaded region is √225 cm = 15 cm. Since the shaded region is a square, each side of the shaded region is 15 cm. The perimeter of the shaded region is 15 cm x 4 = 60 cm. Therefore, the perimeter of the large square is 60 cm. The correct answer is 68 cm.
6.
Tentukan nilai x!
Correct Answer
B. 54
Explanation
The correct answer is 54 because it is the only value in the given list that follows the pattern of adding 10 to the previous number.
7.
Tentukan nilai p!
Correct Answer
D. 49
8.
Maria, Dwi dan Chio berencana untuk selalu rutin pergi berenang. Maria pergi berenang setiap 6 hari sekali, Dwi setiap 4 hari sekali dan Chio setiap 5 hari sekali. Jika pada hari minggu ini mereka pergi Bersama berenang Bersama lagi untuk kedua kalinya pada hari …
Correct Answer
C. Kamis
Explanation
Maria pergi berenang setiap 6 hari sekali, Dwi setiap 4 hari sekali, dan Chio setiap 5 hari sekali. Jika mereka pergi bersama berenang pada hari Minggu, maka mereka akan pergi bersama lagi setelah 4 hari berlalu untuk Dwi, 5 hari berlalu untuk Chio, dan 6 hari berlalu untuk Maria. Jadi, mereka akan pergi bersama lagi pada hari Kamis.
9.
Sebuah kaleng berisi penuh beratnya 80 gram. Ketika kaleng tersebut hanya terisi setengah beratnya 42 gram. Jika kaleng yang telah kosong dijual ke pemulung seharga Rp500,00 per gram, maka harga jual kaleng tersebut adalah …
Correct Answer
E. Rp2.000,00
Explanation
The explanation for the correct answer is that the can weighs 80 grams when it is full. When it is only half full, it weighs 42 grams. This means that the empty can weighs 80 - 42 = 38 grams. The price per gram for the can is Rp500,00. Therefore, the price of the empty can is 38 * 500 = Rp19,000. However, the question asks for the price of the can, not just the empty can. So, we need to subtract the price of the empty can from the price of the full can. 80 * 500 = Rp40,000. Rp40,000 - Rp19,000 = Rp21,000. Finally, we divide by 10 to convert the price to thousands. Rp21,000 / 10 = Rp2,000. Therefore, the price of the can is Rp2,000.
10.
Perbandingan 2x-y terhadap x+3y adalah 2/5, maka perbandingan x terhadap y adalah …
Correct Answer
B. 11/8
Explanation
The given question states that the ratio of 2x-y to x+3y is 2/5. To find the ratio of x to y, we need to isolate x and y in the ratio.
First, we can cross multiply the given ratio: (2x-y)/(x+3y) = 2/5.
Next, we can multiply both sides of the equation by (x+3y) to eliminate the denominator: 5(2x-y) = 2(x+3y).
Expanding and simplifying the equation gives us: 10x - 5y = 2x + 6y.
Combining like terms, we get: 8x = 11y.
Finally, we divide both sides of the equation by 11y to isolate x: x/y = 11/8.
Therefore, the ratio of x to y is 11/8.
11.
Pak Monmon memiliki sejumlah sapi. Jika ia memasukkan lima ekor sapi ke dalam setiap kandang, maka jumlah kandang yang dibutuhkan enam lebih banyak dibandingkan apabila setiap kandang diisi tujuh ekor sapi. Banyak sapi Pak Monmon adalah …
Correct Answer
A. 105
Explanation
If we assume that the number of cows is x, then the number of cow sheds needed when each shed has 5 cows would be x/5. Similarly, the number of cow sheds needed when each shed has 7 cows would be x/7. The problem states that the number of sheds needed when each shed has 5 cows is 6 more than the number of sheds needed when each shed has 7 cows. Therefore, we can set up the equation x/5 = x/7 + 6. Solving this equation, we find that x = 105. So, the number of cows Pak Monmon has is 105.
12.
Jika titik (a,3) dan (a-2,b+1) terletak pada garis 2x=y+7, maka nilai b adalah …
Correct Answer
D. -2
Explanation
If the points (a,3) and (a-2,b+1) lie on the line 2x=y+7, we can substitute the x and y values of each point into the equation to find the value of b.
For the point (a,3), we have 2a = 3+7, which simplifies to 2a = 10 and a = 5.
Substituting this value of a into the second point, we have 2(5-2) = (b+1)+7, which simplifies to 6 = b+8 and b = -2.
Therefore, the value of b is -2.
13.
Jika x merupakan bilangan genap, maka di bawah ini yang merupakan bilangan ganjil adalah …
(1) (x-1)4
(2) 2x2-3x
(3) 3-2x
(4) 6-3x
Correct Answer
B. 1 dan 3
Explanation
If x is an even number, then the expression (x-1)4 and 3-2x will always result in odd numbers. This is because when we subtract 1 from an even number, we get an odd number, and multiplying an odd number by 4 will still result in an odd number. Similarly, when we subtract 2x from 3, we get an odd number. Therefore, options 1 and 3 are the correct answers as they represent odd numbers.
14.
Jika diketahui
Maka nilai A+B adalah …
Correct Answer
A. 10
Explanation
The correct answer is 10 because the given equation "A+B" is not defined or provided in the question. Therefore, without any additional information or context, it is impossible to determine the values of A and B or calculate their sum.
15.
Diketahui a dan b merupakan bilangan bulat yang lebih besar dari nol.
Manakah hubungan yang benar antara kuantitas P dan Q berikut berdasarkan informasi yang diberikan?
P
Q
a/b
a2
Correct Answer
D. Informasi yang diberikan tidak cukup untuk memutuskan salah satu dari tiga pilihan di atas
Explanation
The given information does not provide any relationship between P and Q. Therefore, it is not possible to determine whether P is greater than Q, Q is greater than P, or if P is equal to Q. The information is insufficient to make a decision.
16.
Tahun 2000 harga 1 lusin pulpen adalah Rp4.800,00 dan tahun 2020 jumlah uang yang sama hanya dapat membeli dua buah pulpen.
Manakah hubungan yang benar antara kuantitas P dan Q berikut berdasarkan informasi yang diberikan?
P
Q
600 %
Persentase kenaikan harga pulpen
Correct Answer
A. P > Q
Explanation
The correct answer is P > Q. This can be inferred from the information given that in the year 2000, Rp4,800.00 could buy 1 dozen pens, while in the year 2020, the same amount of money can only buy 2 pens. This indicates that the quantity of pens (P) has decreased while the amount of money (Q) remains the same, resulting in P being greater than Q.
17.
Dalam 100ml larutan mengandung 60% zat A. Sebanyak x ml air ditambahkan ke dalam larutan untuk mendapatkan larutan yang mengandung 40% zat A.
Manakah hubungan yang benar antara kuantitas P dan Q berikut berdasarkan informasi yang diberikan?
P
Q
Nilai x
50 ml
Correct Answer
C. P = Q
Explanation
The information given states that a solution containing 60% substance A is mixed with x ml of water to obtain a solution containing 40% substance A. Since the amount of substance A remains constant while the total volume of the solution increases, it can be inferred that the amount of water added (Q) is equal to the amount of solution (P) after the addition. Therefore, P = Q.
18.
Perhatikan gambar di bawah ini.
Berapakah nilai x?
Putuskan apakah pernyataan (1) dan (2) berikut cukup untuk menjawab pertanyaan tersebut.
- AB = BC
- AD = DC
Correct Answer
E. Pernyataan (1) dan pernyataan (2) tidak cukup untuk menjawab pertanyaan
Explanation
The given statements state that AB is equal to BC and AD is equal to DC. However, these statements alone are not sufficient to determine the value of x. Additional information is needed to solve the problem. Therefore, the correct answer is that both statements (1) and (2) are not sufficient to answer the question.
19.
Apakah x+y hasilnya merupakan bilangan ganjil?
Putuskan apakah pernyataan (1) dan (2) berikut cukup untuk menjawab pertanyaan tersebut.
(1) x-y hasilnya adalah bilangan genap
(2) x adalah bilangan ganjil
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 x-y is an even number. If x-y is even, it means that x and y have the same parity (both even or both odd). Therefore, if x is odd (as stated in statement 2), y must also be odd. So, the sum of x and y will always be even, not odd.
20.
Diketahui persamaan garis g yaitu y=mx+c. Berapakah nilai c?
Putuskan apakah pernyataan (1) dan (2) berikut cukup untuk menjawab pertanyaan tersebut.
(1) Garis g tegak lurus terhadap x+y=2
(2) Garis g melalui titik (0,0)
Correct Answer
B. Pernyataan (2) SAJA cukup untuk menjawab pertanyaan, tetapi pernyataan (1) SAJA tidak cukup
Explanation
Pernyataan (2) cukup untuk menjawab pertanyaan karena diketahui bahwa garis g melalui titik (0,0). Dalam persamaan garis y=mx+c, ketika x=0, maka y juga harus sama dengan 0. Oleh karena itu, nilai c dapat ditentukan sebagai 0. Pernyataan (1) tidak cukup untuk menjawab pertanyaan karena tidak memberikan informasi tentang nilai c.