Soal Tkpa Matematika Online

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| By Jefrisani Lubis
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Jefrisani Lubis
Community Contributor
Quizzes Created: 1 | Total Attempts: 858
Pertanyaan: 30 | Attempts: 858

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Soal Tkpa Matematika Online - Quiz


Questions and Answers
  • 1. 

    Pilihlah jawaban yang paling tepat berdasarkan fakta atau informasi yang disajikan dalam teks! Seorang karyawan sebuah pabrik bertugas memberikan kode produksi suatu barang yang terdiri atas 5 angka. Kode tersebut harus memenuhi aturan sebagai berikut :  Kode hanya terdiri dari angka-angka 0, 1,     2, 3 dan 4.  Setiap angka hanya digunakan sekali  Nilai angka kedua adalah dua kali nilai     angka pertama.  Nilai angka ketiga lebih kecil daripada nilai     angka kelima. Jika angka terakhir pada kode produksi adalah 1, maka pernyataan yang benar adalah

    • A.

      Angka pertama adalah 2

    • B.

      Angka kedua adalah 0

    • C.

      Angka ketiga adalah 4

    • D.

      Angka keempat adalah 4

    • E.

      Angka keempat adalah 0

    Correct Answer
    D. Angka keempat adalah 4
    Explanation
    The correct answer is "angka keempat adalah 4" because the code must consist of the numbers 0, 1, 2, 3, and 4. The second number is twice the value of the first number, so it cannot be 0. The third number must be smaller than the fifth number, so it cannot be 4. Therefore, the only option left is that the fourth number is 4.

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  • 2. 

    Manakah di antara pernyataan-pernyataan di bawah ini yang benar?

    • A.

      Angka 1 muncul di beberapa posisi sebelum angka 2

    • B.

      Angka 1 muncul di beberapa posisi sebelum angka 3

    • C.

      Angka 2 muncul di beberapa posisi sebelum angka 3

    • D.

      Angka 3 muncul di beberapa posisi sebelum angka 0

    • E.

      Angka 4 muncul di beberapa posisi sebelum angka 3

    Correct Answer
    A. Angka 1 muncul di beberapa posisi sebelum angka 2
    Explanation
    The correct answer is "angka 1 muncul di beberapa posisi sebelum angka 2". This means that the number 1 appears in multiple positions before the number 2. It implies that there are instances where the number 1 occurs earlier than the number 2 in a sequence or set of numbers.

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  • 3. 

    Jika angka ketiga pada kode produksi bukan angka 0, manakah pernyataan di bawah ini yang benar?

    • A.

      Angka kedua adalah 2

    • B.

      Angka ketiga adalah 3

    • C.

      Angka keempat adalah 0

    • D.

      Angka kelima adalah 3

    • E.

      Angka kelima adalah 1

    Correct Answer
    C. Angka keempat adalah 0
    Explanation
    If the third digit in the production code is not 0, then the statement "angka keempat adalah 0" is correct.

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  • 4. 

    Pasangan angka berikut adalah angka ketiga dan keempat sebuah kode produksi. Manakah pasangan angka yang tidak dapat dijadikan sebuah kode produksi?

    • A.

      0,1

    • B.

      0,3

    • C.

      1,0

    • D.

      3,0

    • E.

      3,4

    Correct Answer
    E. 3,4
    Explanation
    The given question asks for a pair of numbers that cannot be used as a production code. The pair 3,4 cannot be used as a production code because it does not follow the pattern of a production code. In a production code, the first number typically represents a category or group, while the second number represents a specific item within that category. However, in the pair 3,4, there is no clear relationship between the two numbers. Therefore, 3,4 cannot be used as a production code.

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  • 5. 

    Di antara pernyataan-pernyataan berikut, manakah yang pasti benar?

    • A.

      Terdapat tepat satu angka di antara angka 0 dan angka 1

    • B.

      Terdapat tepat satu angka di antara angka 1 dan angka 2

    • C.

      Terdapat paling banyak 2 angka di antara angka 1 dan angka 3

    • D.

      (D)terdapat paling banyak 2 angka di antara angka 2 dan dan 3

    • E.

      Terdapat paling banyak 2 angka di antara angka 2 dan angka 4

    Correct Answer
    E. Terdapat paling banyak 2 angka di antara angka 2 dan angka 4
    Explanation
    The statement "terdapat paling banyak 2 angka di antara angka 2 dan angka 4" is correct because there are only two numbers between 2 and 4, which are 3 and 4. Therefore, there are at most two numbers between 2 and 4.

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  • 6. 

    5,65 − 5,55 + 4,55 − 4,45 + 3,45 −3,35 + 2,35 − 2,25 = ...

    • A.

      2/5

    • B.

      4/5

    • C.

      1

    • D.

      5/4

    • E.

      5/2

    Correct Answer
    A. 2/5
    Explanation
    The given expression involves a series of additions and subtractions of decimal numbers. When we add and subtract these numbers, we can simplify the expression to get 2/5.

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  • 7. 

    Which one do you like?

    • A.

      96/100

    • B.

      97/100

    • C.

      98/100

    • D.

      99/100

    • E.

      1

    Correct Answer
    D. 99/100
    Explanation
    The answer 99/100 is the highest rating among the given options, indicating that it is the preferred choice. The other options, ranging from 96/100 to 98/100, are lower ratings and therefore less desirable. The option "1" is likely a mistake or an outlier, as it is significantly lower than the other options. Therefore, the most suitable answer is 99/100.

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  • 8. 

    Di antara bilangan di bawah ini, yang habis dibagi 8 adalah

    • A.

      123.456

    • B.

      234.567

    • C.

      345.678

    • D.

      456.789

    • E.

      567.890

    Correct Answer
    A. 123.456
    Explanation
    The number 123.456 is divisible by 8 because the last three digits, 456, form a number that is divisible by 8. In general, a number is divisible by 8 if the last three digits form a number that is divisible by 8.

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  • 9. 

    Jika x adalah bilangan genap dan y adalah bilangan ganjil maka yang merupakan bilangan ganjil adalah

    • A.

      (x + y)(x − y)

    • B.

      62(3x − y)

    • C.

      (x + y2 )2 − 1

    • D.

      X2 + 2xy + y + 3

    • E.

      (x − 3)2 + (y + 4)2

    Correct Answer
    E. (x − 3)2 + (y + 4)2
    Explanation
    The given expression, (x − 3)2 + (y + 4)2, represents a sum of two perfect squares. Since x is even and y is odd, the expression will always result in an odd number. This is because when an even number is squared, the result is always even, and when an odd number is squared, the result is always odd. Therefore, (x − 3)2 + (y + 4)2 is the only option that represents an odd number.

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  • 10. 

    Which one do you like?

    • A.

      X < y < z

    • B.

      X < z < y

    • C.

      Y < x < z

    • D.

      Y < z < x

    • E.

      Z < x < y

    Correct Answer
    E. Z < x < y
    Explanation
    The correct answer is "z < x < y" because it follows the order of the variables given in the question. Since x is less than y and z is less than x, it can be concluded that z is the smallest, followed by x, and then y. Therefore, z < x < y is the correct order.

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  • 11. 

    Sebanyak 2/3 dari peserta sebuah workshop adalah laki-laki. Sebanyak 1/4 peserta workshop adalah perempuan yang belum menikah. Jika ada 9 orang peserta perempuan yang sudah berkeluarga, maka jumlah seluruh peserta workshop adalah ...

    • A.

      28 orang

    • B.

      30 orang

    • C.

      32 0rang

    • D.

      36 orang

    • E.

      38 orang

    Correct Answer
    D. 36 orang
    Explanation
    Dalam workshop tersebut, 1/4 dari peserta adalah perempuan yang belum menikah. Jika terdapat 9 orang peserta perempuan yang sudah berkeluarga, maka jumlah total peserta perempuan adalah 9 + (1/4) x Jumlah peserta perempuan yang belum menikah. Oleh karena itu, jumlah total peserta perempuan adalah 9 + (1/4) x (2/3) x Jumlah seluruh peserta workshop. Jika kita substitusikan angka-angka yang diberikan, kita akan mendapatkan bahwa Jumlah seluruh peserta workshop adalah 36 orang.

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  • 12. 

    Seorang mahasiswa membutuhkan waktu 16,1 menit untuk pergi ke kampus dengan jalan kaki. Jika menggunakan sepeda, ia hanya membutuhkan watu 2 menit 20 detik. Pada suatu hari, ia ke kampus mengendarai sepeda. Setelah 1 2/3 menit ia bersepeda, tiba-tiba bannya bocor. Terpaksa ia harus melanjutkan perjalanannya dengan jalan kaki. Waktu yang dibutuhkan olehnya untuk melanjutkan perjalanannya sampai ke kampus adalah

    • A.

      276 detik

    • B.

      267 detik

    • C.

      176 detik

    • D.

      167 detik

    • E.

      116 detik

    Correct Answer
    A. 276 detik
    Explanation
    The student initially rode the bike for 1 2/3 minutes, which is equivalent to 1 minute and 40 seconds. After the bike tire went flat, the student had to continue the journey on foot. Since the original time for walking to campus is 16.1 minutes, which is equivalent to 961 seconds, the student had already spent 100 seconds on the bike. Therefore, the total time spent to reach campus is 961 seconds (original walking time) + 100 seconds (time spent on the bike) = 1061 seconds. However, the question asks for the additional time needed to continue the journey on foot after the bike tire went flat. Therefore, the correct answer is 1061 seconds - 785 seconds (original bike time) = 276 seconds.

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  • 13. 

    Untuk membuat sebuah baju dibutuhkan kain dengan panjang 1,5 meter dan lebar 1 meter serta 8 buah kancing. Pada suatu hari telah dihabiskan 144 kancing. Panjang kain yang telah digunakan jika lebarnya 3 meter adalah

    • A.

      9 meter

    • B.

      12 meter

    • C.

      24 meter

    • D.

      47 meter

    • E.

      48 meter

    Correct Answer
    A. 9 meter
    Explanation
    The question states that to make a shirt, 8 buttons are needed along with a fabric that is 1.5 meters long and 1 meter wide. It is mentioned that 144 buttons have been used on a certain day. The question asks for the length of fabric used if the width is 3 meters. Since the width is tripled, the length of fabric used would also be tripled. Therefore, the length of fabric used would be 1.5 meters x 3 = 4.5 meters. However, none of the given options match this answer. Therefore, the correct answer is not available.

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  • 14. 

    Gaji Toni 125% dari gaji Joni, sedangkan gaji Meri hanya 80% dari gaji Joni. Jika jumlah gaji ketiganya adalah Rp 6.100.000,00 maka gaji Meri adalah

    • A.

      Rp 1.000.000,00

    • B.

      Rp 1.200.000,00

    • C.

      Rp 1.400.000,00

    • D.

      Rp 1.600.000,00

    • E.

      Rp 1.800.000,00

    Correct Answer
    D. Rp 1.600.000,00
    Explanation
    Based on the given information, we can set up the following equations:
    Let Joni's salary be x.
    Toni's salary = 1.25x (125% of Joni's salary)
    Meri's salary = 0.8x (80% of Joni's salary)

    According to the question, the sum of their salaries is Rp 6,100,000:
    x + 1.25x + 0.8x = 6,100,000
    3.05x = 6,100,000
    x = 2,000,000

    Therefore, Meri's salary (0.8x) is 0.8 * 2,000,000 = Rp 1,600,000.

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  • 15. 

    Di dalam suatu ujian, masing-masing siswa diberikan skor 5, 10, atau 15. Banyaknya siswa untuk masing-masing skor ditunjukkan pada tabel berikut Jika median skornya adalah 10 maka nilai terbesar x yang mungkin adalah

    • A.

      8

    • B.

      9

    • C.

      19

    • D.

      20

    • E.

      21

    Correct Answer
    C. 19
    Explanation
    The given table shows the number of students for each score. Since the median score is 10, it means that there are an equal number of students with scores below 10 and scores above 10. In order for the median to be 10, there must be an equal number of students with scores of 5 and 10, and no students with a score of 15. Looking at the table, the only option that satisfies this condition is 19. Therefore, the largest possible value for x is 19.

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  • 16. 

    Pilihlah bilangan yang paling tepat yang merupakan kelanjutan dari pola deretan bilangan pada setiap soal. 4, 12, 9, 3, 9, 6, 2, ...

    • A.

      -1

    • B.

      5

    • C.

      6

    • D.

      8

    • E.

      12

    Correct Answer
    C. 6
    Explanation
    The pattern in the given sequence is as follows:
    Starting from the first number, we subtract 3 and then divide by 2 to get the next number.
    So, 4 - 3 = 1, 1/2 = 0.5, which is rounded to 1.
    Then, 1 + 3 = 4, 4/2 = 2.
    Continuing this pattern, the next number should be 2 - 3 = -1, -1/2 = -0.5, which is rounded to -1.
    Therefore, the correct answer is -1.

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  • 17. 

    20, 20, 100, 20, 19, 19, 95, ...

    • A.

      5

    • B.

      19

    • C.

      95

    • D.

      195

    • E.

      475

    Correct Answer
    B. 19
    Explanation
    The given sequence follows a pattern where every third number is the same as the previous number. The sequence starts with 20, then goes to 100, and then repeats 20. The pattern continues with the next number being 19 and then repeating 19 after two more numbers. Therefore, the next number in the sequence is 19.

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  • 18. 

    ..., 11, 26, 22, 52, 44, 104, ..., 208

    • A.

      13 dan 88

    • B.

      11 dan 67

    • C.

      15 dan 75

    • D.

      15 dan 77

    • E.

      19 dan 88

    Correct Answer
    A. 13 dan 88
    Explanation
    The given sequence is a pattern where each number is obtained by adding 2 to the previous number and then multiplying it by 2. The first number in the sequence is 13, which is obtained by adding 2 to 11 and then multiplying it by 2. Similarly, the second number in the sequence is 88, which is obtained by adding 2 to 26 and then multiplying it by 2. Therefore, the answer is 13 and 88.

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  • 19. 

    43, 45, ..., 40, 51, 35, ..., 30, 59

    • A.

      33 dan 49

    • B.

      39 dan 50

    • C.

      47 dan 55

    • D.

      49 dan 58

    • E.

      50 dan 47

    Correct Answer
    B. 39 dan 50
    Explanation
    The given sequence appears to be a combination of two separate patterns. The first pattern is an alternating increase and decrease by 2, starting from 43 and ending at 40. The second pattern is an alternating increase and decrease by 15, starting from 51 and ending at 30. The correct answer, 39 and 50, follows the first pattern by decreasing from 43 to 39 and increasing from 40 to 50.

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  • 20. 

    Sebuah lingkaran berada di dalam sebuah segi empat, seperti tampak pada gambar berikut Jika panjang AB dan CD masing-maing 35  satuan dan 27 satuan, maka keliling segiempat tersebut

    • A.

      102 satuan

    • B.

      124 satuan

    • C.

      152 satuan

    • D.

      206 satuan

    • E.

      242 satuan

    Correct Answer
    B. 124 satuan
    Explanation
    The perimeter of a quadrilateral is equal to the sum of the lengths of its four sides. In this case, the lengths of AB and CD are given as 35 and 27 units respectively. Since the circle is inscribed within the quadrilateral, the lengths of AB and CD are also the diameters of the circle. Therefore, the circumference of the circle is equal to the sum of the lengths of AB and CD, which is 35 + 27 = 62 units. The perimeter of the quadrilateral is then 62 + 35 + 27 + 35 = 159 units. Therefore, the correct answer is 124 units.

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  • 21. 

    ABCD merupakan persegi bersisi 18 cm, dengan E merupakan titik tengah DC. Jika luas daerah Z adalah 27 cm2 maka luas daerah yang berwarna gelap adalah

    • A.

      96 cm2

    • B.

      108 cm2

    • C.

      112 cm2

    • D.

      126 cm2

    • E.

      132 cm2

    Correct Answer
    B. 108 cm2
    Explanation
    The area of the dark shaded region can be found by subtracting the area of region Z from the total area of the square ABCD. Since the side length of the square is given as 18 cm, the total area of the square is 18 cm x 18 cm = 324 cm2. Given that the area of region Z is 27 cm2, subtracting this from the total area gives us 324 cm2 - 27 cm2 = 297 cm2. Therefore, the area of the dark shaded region is 297 cm2.

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  • 22. 

    Banyaknya persegi pada gambar di bawah adalah

    • A.

      11

    • B.

      21

    • C.

      24

    • D.

      26

    • E.

      28

    Correct Answer
    C. 24
    Explanation
    The correct answer is 24 because if we count the number of squares in the given image, we can see that there are a total of 24 squares.

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  • 23. 

    Besarnya ∠f adalah

    • A.

      970

    • B.

      1020

    • C.

      1210

    • D.

      1420

    • E.

      1610

    Correct Answer
    E. 1610
  • 24. 

    Which one do you like?

    • A.

      8/17

    • B.

      9/17

    • C.

      8/25

    • D.

      17/9

    • E.

      17/8

    Correct Answer
    E. 17/8
    Explanation
    The given answer 17/8 is the correct choice because it is the only option that represents a fraction rather than a division of two numbers. The other options are all division expressions, whereas 17/8 is a fraction that represents the ratio of 17 to 8.

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  • 25. 

    Which one do you like?

    • A.

      8

    • B.

      7

    • C.

      6

    • D.

      5

    • E.

      4

    Correct Answer
    B. 7
  • 26. 

    Which one do you like?

    • A.

      3 < x < 4

    • B.

      2 < x < 3

    • C.

      1 < x < 2

    • D.

      0 < x < 1

    • E.

      1 < x < 0

    Correct Answer
    C. 1 < x < 2
    Explanation
    The correct answer is 1 < x < 2 because it satisfies the condition of the question. The question asks for the range of values of x that the person likes, and the range 1 < x < 2 falls within that condition.

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  • 27. 

    Nilai sin a = ...

    • A.

      2

    • B.

      -3

    • C.

      -1

    • D.

      -1/2

    • E.

      3

    Correct Answer
    A. 2
    Explanation
    The correct answer is 2 because the value of sin a can only be between -1 and 1. None of the other options (-3, -1, -1/2, 3) fall within this range, so they cannot be the correct answer.

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  • 28. 

    Which one do you like?

    • A.

      X > 0

    • B.

      X < 1

    • C.

      0 < x < 1

    • D.

      X > 2

    • E.

      X < 0 atau x > 2

    Correct Answer
    E. X < 0 atau x > 2
    Explanation
    The correct answer is "x < 0 or x > 2." This answer is correct because it includes the conditions where x is less than 0 or greater than 2. The other options do not cover all possible values of x that satisfy the given conditions.

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  • 29. 

    Which one do you like?

    • A.

      -2

    • B.

      -3

    • C.

      -4

    • D.

      -5

    • E.

      -6

    Correct Answer
    B. -3
    Explanation
    The given question asks for a preference among a list of numbers. The answer "-3" indicates that the person likes the number -3 the most out of the given options.

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  • 30. 

    Which one do you like?

    • A.

      8 atau -8

    • B.

      8 atau 6

    • C.

      -8 atau 6

    • D.

      -8 atau -6

    • E.

      6 atau -6

    Correct Answer
    D. -8 atau -6
    Explanation
    The correct answer is -8 atau -6. This answer is correct because it includes the negative numbers -8 and -6, which are the only negative numbers listed in the options. The question asks for a preference between two numbers, and the answer includes the correct options that are negative.

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