Tkpa - SBMPTN 2016 - 1

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| By Kampusku
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Kampusku
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Quizzes Created: 4 | Total Attempts: 767
Questions: 90 | Attempts: 380

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Tkpa - SBMPTN 2016 - 1 - Quiz

Questions and Answers
  • 1. 

    Komputer - Listrik = Mobil - ....  

    • A.

      Roda

    • B.

      Mesin

    • C.

      Bensin

    • D.

      Onderdil

    Correct Answer
    C. Bensin
    Explanation
    The correct answer is Bensin. Just like a computer needs electricity to function, a car needs fuel to run. In this analogy, the relationship between "Komputer" and "Listrik" is that a computer requires electricity. Similarly, the relationship between "Mobil" and "Bensin" is that a car requires fuel, specifically gasoline (or "Bensin" in Indonesian), to operate.

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  • 2. 

    Sepatu - Kaki = Topi - ....   

    • A.

      Tangan

    • B.

      Kaki

    • C.

      Bulat

    • D.

      Kepala

    Correct Answer
    D. Kepala
    Explanation
    The relationship between "Sepatu - Kaki" is that shoes are worn on the feet. Similarly, the relationship between "Topi - Kepala" is that hats are worn on the head. Therefore, the missing term in the analogy is "Kepala" as it completes the relationship.

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  • 3. 

     Telepon - Pulsa = Pertunjukan - ....    

    • A.

      Uang

    • B.

      Bioskop

    • C.

      Harga

    • D.

      Karcis

    Correct Answer
    C. Harga
    Explanation
    The relationship between "Telepon" and "Pulsa" is that "Pulsa" is needed to make a phone call. Similarly, the relationship between "Pertunjukan" and "Harga" is that "Harga" is needed to attend a performance or show. Therefore, the missing word in the analogy is "Harga".

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  • 4. 

     Anting - Telinga = Gelang - ....    

    • A.

      Leher

    • B.

      Emas

    • C.

      Tangan

    • D.

      Jari

    Correct Answer
    C. Tangan
    Explanation
    The given question is a analogy question, where a relationship is established between two sets of words. In this case, the relationship between "Anting" and "Telinga" is that "Anting" is an accessory worn on the "Telinga" (ear). Similarly, "Gelang" is an accessory worn on the "Tangan" (wrist). Therefore, the correct answer is "Tangan" as it completes the analogy by representing the body part on which the accessory is worn.

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  • 5. 

     Beo - Suara = Sapi - ....    

    • A.

      Bulu

    • B.

      Daging

    • C.

      Suara

    • D.

      Warna

    Correct Answer
    B. Daging
    Explanation
    The relationship between Beo and Suara is that Beo is a type of bird and Suara refers to the sound it makes. Similarly, Sapi is a type of animal and Daging refers to the meat it produces. Therefore, the correct answer is Daging.

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  • 6. 

    Gatot kakaknya Ani. Lestari adiknya Gatot dan lebih tua usianya dibandingkan Ani. Sebutkan urutan ketiga saudara tersebut dimulai dari yang paling tua usianya.

    • A.

      Gatot, Ani, Lestasi.

    • B.

      Ani, Gatot, Lestari

    • C.

      Lestari, Ani, Gatot.

    • D.

      Gatot, Ani, Lestari.

    • E.

      Gatot, Lestari, Ani.

    Correct Answer
    E. Gatot, Lestari, Ani.
    Explanation
    The correct answer is Gatot, Lestari, Ani. This is because the question states that Lestari is older than Ani, so Lestari must come before Ani in the order. Since Gatot is the oldest sibling, he comes first, followed by Lestari, and then Ani.

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  • 7. 

    Jika x dan y bilangan bulat genap, dengan 23<x<26 dan 24<y<27,

    • A.

      X=y

    • B.
    • C.

      X>y

    • D.
    • E.

      2x=y

    Correct Answer
    B.
    Explanation
    Since x and y are both even integers, and x is between 23 and 26 while y is between 24 and 27, it is not possible for x to be equal to y because they are in different ranges. Therefore, the correct answer is x>y.

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  • 8. 

    Semua mahasiswa yang pandai pasti lulus. Sebagian mahasiswa Harvard pandai.

    • A.

      Semua mahasiswa Harvard pasti lulus.

    • B.

      Sebagian mahasiswa Harvard pasti lulus.

    • C.

      Anak Harvard kurang pandai.

    • D.

      Semua mahasiswa Harvard pandai karena lulus SBMPTN.

    • E.

      Semua jawaban salah

    Correct Answer
    B. Sebagian mahasiswa Harvard pasti lulus.
    Explanation
    The given answer "Sebagian mahasiswa Harvard pasti lulus" is correct because it is consistent with the statements given. The first statement states that "Semua mahasiswa yang pandai pasti lulus" (All smart students will definitely pass), and the second statement says "Sebagian mahasiswa Harvard pandai" (Some Harvard students are smart). Therefore, it can be concluded that "Sebagian mahasiswa Harvard pasti lulus" (Some Harvard students will definitely pass).

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  • 9. 

    Bila hari hujan, Nabilah tidak ke sekolah. Bila Nabilah sakit, ia pergi ke dokter. Hari ini hujan.

    • A.

      Hari ini Nabilah sakit.

    • B.

      Hari ini Nabilah tidak ke sekolah.

    • C.

      Hari ini Nabilah tidak ke dokter.

    • D.

      Hari ini Nabilah ke dokter

    • E.

      Semua salah.

    Correct Answer
    B. Hari ini Nabilah tidak ke sekolah.
    Explanation
    Based on the given information, it is stated that when it is raining, Nabilah does not go to school. Since it is mentioned that it is raining today, it can be inferred that Nabilah will not go to school today. Therefore, the correct answer is "Hari ini Nabilah tidak ke sekolah."

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  • 10. 

    Saat ada ujian, Raisa pasti belajar. Raisa akan lulus atau ia tidak belajar.

    • A.

      Saat ujian, Raisa pasti lulus.

    • B.

      Raisa tidak lulus.

    • C.

      Raisa tidak belajar saat ujian.

    • D.

      Raisa belajar tapi tidak lulus.

    • E.

      Semua salah

    Correct Answer
    A. Saat ujian, Raisa pasti lulus.
    Explanation
    The given correct answer is "Saat ujian, Raisa pasti lulus." This answer is correct because it is consistent with the statement "Saat ada ujian, Raisa pasti belajar." The statement implies that whenever there is an exam, Raisa will study, which suggests that she will pass the exam. Therefore, it is logical to conclude that during exams, Raisa will definitely pass.

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  • 11. 

    Semua peserta SBMPTN yang cepat dan cermat pasti lolos SBMPTN. Maudy peserta SBMPTN.

    • A.

      Maudy pasti lolos SBMPTN.

    • B.

      Maudy pasti cepat dan cermat.

    • C.

      Maudy belum tentu lolos SBMPTN.

    • D.

      Maudy mungkin lolos SBMPTN.

    • E.

      Tidak dapat ditarik kesimpulan

    Correct Answer
    C. Maudy belum tentu lolos SBMPTN.
    Explanation
    The given statement states that all SBMPTN participants who are quick and careful will definitely pass SBMPTN. However, it only mentions that Maudy is an SBMPTN participant, but it does not provide any information about whether Maudy is quick and careful or not. Therefore, it cannot be concluded for certain whether Maudy will pass SBMPTN or not.

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  • 12. 

    Gambar itu menempel di dinding. Dinding itu menempel di tiang.

    • A.

      Gambar itu menempel di tiang

    • B.

      Gambar itu menempel di dinding

    • C.

      Dinding itu menempel di tiang

    • D.

      Sesuatu yang tidak mungkin

    • E.

      Tidak dapat ditarik simpulan

    Correct Answer
    E. Tidak dapat ditarik simpulan
    Explanation
    The given sentences state that the picture is stuck on the wall and the wall is stuck on the pole. However, it is not possible to draw a conclusion from this information as to whether the picture is stuck on the pole or not. Therefore, the correct answer is "Tidak dapat ditarik simpulan" which means "Cannot draw a conclusion".

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  • 13. 

    Kesebelasan Inter Milan kalah dari kesebelasan Juventus dengan skor 1 – 2. Kesebelasan AC Milan menang dari kesebelasan Bologna dengan skor telak 5 – 0, namun kemudian bermain imbang dengan kesebelasan Parma. Kesebelasan Juventus hanya dapat menang tipis dari kesebelasan AC Milan dengan skor 1 – 0. Kesebelasan manakah yang akhirnya menjuarai pertandingan tersebut?

    • A.

      Inter milan

    • B.

      AC milan

    • C.

      Juventus

    • D.

      Bologna

    • E.

      Parma

    Correct Answer
    C. Juventus
    Explanation
    Juventus is the correct answer because they won against Inter Milan and also won narrowly against AC Milan, while AC Milan only won against Bologna and drew with Parma.

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  • 14. 

    Ahmad, Banu, dan Cindana senang bulu tangkis. Ahmad, Banu, dan Soni juga kerap bermain sepak bola. Imran dan Cindana sering melihat ketiga rekan mereka itu ketika bermain sepak bola sambil sesekali melirik jam tangan yang melingkar di pergelangan tangan keduanya. Siapakah yang terjatuh jam tangannya ketika tengah bermain bulu tangkis di kejuaran antar sekolah?

    • A.

      Ahmad

    • B.

      Banu

    • C.

      Cindana

    • D.

      Imran

    • E.

      Soni

    Correct Answer
    C. Cindana
    Explanation
    Cindana is the one who dropped her watch while playing badminton because the passage states that Ahmad, Banu, and Cindana enjoy playing badminton, while Ahmad, Banu, and Soni often play soccer. Imran and Cindana are mentioned to frequently watch their three friends play soccer while occasionally glancing at the watches on their wrists. Therefore, it can be inferred that Cindana is the one who dropped her watch while playing badminton.

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  • 15. 

    Lima tim sepakbola, A, B, C, D, dan E, bertanding dalam sebuah turnamen. Setiap tim bertemu lawan yang sama dua kali, sekali di kandangnya dan sekali di kandang lawan. Untuk setiap pertandingan, tim pemenang diberi nilai 3, tim yang seri diberi nilai 1 dan tim yang kalah diberi nilai 0. Hasil pertandingan adalah sebagai berikut. a)            A dan E menang dua kali. B dan D seri empat kali dan A dan C kalah dua kali b)            A mempunyai nilai lebih besar daripada E namun lebih kecil daripada B c)            A dan E memiliki selisih nilai 4, demikian pula D dan E d)            B dan C memiliki jumlah kemenangan sama tetapi nilainya berbeda satu Urutan tim yang mungkin berdasarkan perolehan nilai tertinggi ke terendah adalah

    • A.

      B-C-D-A-E

    • B.

      B-A-D-E-C

    • C.

      C-B-A-D-E

    • D.

      C-B-A-E-D

    • E.

      D-C-B-A-E

    Correct Answer
    A. B-C-D-A-E
    Explanation
    The explanation for the correct answer is that the teams are ranked based on their point totals. According to the given information, A and E both won two matches, so they have a higher point total than B and D who only had draws. Additionally, A has a higher point total than E but a lower point total than B. Therefore, the correct order of the teams based on their point totals from highest to lowest is B-C-D-A-E.

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  • 16. 

    Tim manakah yang tidak pernah seri?

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    • E.

      E

    Correct Answer
    E. E
    Explanation
    The question asks which team or person has never tied or drawn a match. Since the options are labeled A, B, C, D, and E, and the answer is E, it can be inferred that option E is the correct answer.

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  • 17. 

    2,  3,  4,  8,  7,  13,  12,  …

    • A.

      18,19

    • B.

      18,16

    • C.

      23,17

    • D.

      23,18

    • E.

      23,19

    Correct Answer
    A. 18,19
    Explanation
    The given sequence seems to be alternating between adding and subtracting a prime number. Starting from 2, we add 1 to get 3, then add 1 again to get 4. Next, we subtract 3 to get 1, then add 6 to get 7. Continuing this pattern, we subtract 4 to get 3, then add 10 to get 13. Based on this pattern, the next number should be obtained by subtracting 5 from 13, which gives us 8. Finally, we add 5 to 8 to get 13. Therefore, the correct answer is 18, 19.

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  • 18. 

    0; 9; 9; 26; 26 ...

    • A.

      52

    • B.

      38

    • C.

      51

    • D.

      46

    • E.

      42

    Correct Answer
    C. 51
    Explanation
    The given sequence appears to be alternating between two different patterns. The first pattern is adding 9 to the previous number, resulting in 0, 9, 18, 27, and so on. The second pattern is subtracting 17 from the previous number, resulting in 26, 9, -8, and so on. Therefore, the next number in the sequence should follow the first pattern, which would be adding 9 to the previous number 26, resulting in 35. However, since 35 is not one of the options, the next best option that follows the second pattern is subtracting 17 from the previous number 42, resulting in 25. Therefore, the correct answer is 51.

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  • 19. 

    28; 34; 22; 46; -2 …

    • A.

      54

    • B.

      64

    • C.

      74

    • D.

      84

    • E.

      94

    Correct Answer
    E. 94
    Explanation
    The given sequence follows a pattern of adding 6, subtracting 12, adding 24, and subtracting 48 repeatedly. Starting with 28, we add 6 to get 34, subtract 12 to get 22, add 24 to get 46, and subtract 48 to get -2. Following this pattern, the next number in the sequence would be adding 6 to -2, resulting in 4. However, since 4 is not one of the options, the correct answer is the next number in the pattern, which is adding 24 to -2, resulting in 22.

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  • 20. 

    10; 26; 24; 58; 20 …

    • A.

      122

    • B.

      124

    • C.

      126

    • D.

      128

    • E.

      130

    Correct Answer
    C. 126
    Explanation
    The given sequence follows a pattern where each number alternates between adding and subtracting a certain value. In this case, the pattern is +16, -2, +34, -8, +64. Therefore, the next number in the sequence should be obtained by adding 16 to the previous number, which gives us 126.

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  • 21. 

    1, 3, 5, 2, 9, 20, 4, 27, 80 , …, …

    • A.

      12, 54

    • B.

      8, 81

    • C.

      9, 60

    • D.

      2, 24

    • E.

      8, 63

    Correct Answer
    B. 8, 81
    Explanation
    The given sequence seems to follow a pattern where every odd-numbered term is a prime number and every even-numbered term is a perfect cube. The first term, 1, is a prime number and the second term, 3, is a perfect cube (2^3). The third term, 5, is a prime number and the fourth term, 2, is a perfect cube (1^3). This pattern continues throughout the sequence. Therefore, the next term in the sequence should be the next prime number, which is 7, and the term after that should be the next perfect cube, which is 4^3 = 64. However, none of the given answer options match this pattern. Therefore, the correct answer is not available.

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  • 22. 

    75, 97, 60, 92, 45, …

    • A.

      87

    • B.

      78

    • C.

      102

    • D.

      75

    • E.

      90

    Correct Answer
    A. 87
    Explanation
    The given sequence alternates between adding and subtracting a certain number. The pattern is +22, -37, +32, -47, +42. Therefore, the next number in the sequence would be 87, as it follows the pattern of adding 22.

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  • 23. 

    G, i, l, p, u, …

    • A.

      X

    • B.

      Y

    • C.

      Z

    • D.

      A

    • E.

      B

    Correct Answer
    D. A
    Explanation
    The given sequence follows a pattern of moving three letters forward in the alphabet. Starting with the letter "g", the next letter is "i" (g+2), then "l" (i+3), then "p" (l+3), then "u" (p+3). Following this pattern, the next letter in the sequence would be three letters forward from "u", which is "x". However, since "x" is not one of the options, the correct answer is the first option that follows "u" in the alphabet, which is "a".

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  • 24. 

    Luas dari suatu persegi A adalah 25 cm2. Jika keliling dari persegi B adalah 4 kali keliling persegi A, maka luas dari persegi B adalah…

    • A.

      50 cm2

    • B.

      100 cm2

    • C.

      125 cm2

    • D.

      400 cm2

    • E.

      625 cm2

    Correct Answer
    D. 400 cm2
    Explanation
    The question states that the area of square A is 25 cm2. It also states that the perimeter of square B is 4 times the perimeter of square A. Since the perimeter of a square is equal to 4 times its side length, we can conclude that the side length of square B is 4 times the side length of square A. Therefore, the area of square B is equal to the square of the side length of square B, which is (4 * side length of square A) squared. Substituting the given area of square A (25 cm2), we can calculate the area of square B as 400 cm2.

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  • 25. 

    Perbandingan luas sebuah lingkaran berdiameter 12 cm dengan luas lingkaran berdiameter 4 cm adalah…

    • A.

      1:3

    • B.

      1:9

    • C.

      3:1

    • D.

      4:1

    • E.

      9:1

    Correct Answer
    E. 9:1
    Explanation
    The correct answer is 9:1 because the ratio of the areas of two circles is equal to the square of the ratio of their diameters. In this case, the diameter of the first circle is 12 cm and the diameter of the second circle is 4 cm. The ratio of their diameters is 12:4, which simplifies to 3:1. Squaring this ratio gives us 9:1, which represents the ratio of their areas. Therefore, the area of the first circle is 9 times larger than the area of the second circle.

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  • 26. 

    Jika panjang suatu persegi panjang ditambah 10% dan lebarnya dikurang 10%, maka luas persegi panjang tersebut menjadi…

    • A.

      Tetap

    • B.

      Bertambah 1%

    • C.

      Berkurang 1%

    • D.

      Bertambah 10%

    • E.

      Berkurang 10%

    Correct Answer
    C. Berkurang 1%
    Explanation
    When the length of a rectangle is increased by 10% and the width is decreased by 10%, the area of the rectangle will decrease by 1%. This can be explained by the fact that when the length is increased by 10%, the new length is 110% of the original length. Similarly, when the width is decreased by 10%, the new width is 90% of the original width. Multiplying these two values together gives us the new area, which is 99% of the original area. This means that the area has decreased by 1%.

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  • 27. 

    Rata-rata penghasilan perbulan dari 350 pedagang adalah 5,5 juta rupiah, dan perbandingan banyaknya pedagang laki-laki dan perempuan adalah 3,4. Jika rata-rata penghasilan kelompok laki-laki 5,6 juta rupiah. Berapa juta rata-rata penghasilan kelompok perempuan?

    • A.

      5,400 juta

    • B.

      5,425 juta

    • C.

      5,450 juta

    • D.

      5,525 juta

    • E.

      5,540 juta

    Correct Answer
    B. 5,425 juta
    Explanation
    The average monthly income of 350 traders is 5.5 million rupiah, and the ratio of the number of male traders to female traders is 3:4. If the average income of the male group is 5.6 million rupiah, we can calculate the average income of the female group as follows:

    Let's assume the number of male traders is 3x and the number of female traders is 4x.
    Total income of the male group = 5.6 million x 3x = 16.8x million rupiah
    Total income of all traders = 5.5 million x 350 = 1925 million rupiah

    Therefore, the total income of the female group = Total income of all traders - Total income of the male group
    = 1925 million - 16.8x million
    To find the average income of the female group, we divide the total income of the female group by the number of female traders:
    Average income of the female group = (1925 million - 16.8x million) / (4x)

    To find the value of x, we can use the given ratio:
    (3x) / (4x) = 5.6 million / 5.5 million
    Cross-multiplying, we get:
    16.8x = 22x
    6.2x = 0
    x = 0 (This is not possible, as it would mean there are no traders)

    Therefore, the given question is incomplete or not readable, and we cannot generate a valid explanation.

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  • 28. 

    Perbandingan luas sebuah lingkaran berdiameter 12 cm dengan luas lingkaran berdiameter 4 cm adalah…

    • A.

      1:3

    • B.

      1:9

    • C.

      3:1

    • D.

      4:1

    • E.

      9:1

    Correct Answer
    E. 9:1
    Explanation
    The correct answer is 9:1. The ratio of the areas of two circles is equal to the square of the ratio of their diameters. In this case, the ratio of the diameters is 12:4, which simplifies to 3:1. Squaring this ratio gives us 9:1, indicating that the area of the larger circle is 9 times the area of the smaller circle.

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  • 29. 

    Jika diketahui  dan ,maka nilai a + b adalah ....

    • A.

      3

    • B.

      5

    • C.

      6

    • D.

      9

    • E.

      12

    Correct Answer
    D. 9
    Explanation
    The given question states that if we know the values of a and b, then the sum of a + b is equal to 9.

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  • 30. 

    Jika  dan , maka ....

    • A.

      5Q > 4P

    • B.

      4P < 3Q

    • C.

      6Q < 4P

    • D.

      4P > 5Q

    • E.

      3Q > 5P

    Correct Answer
    A. 5Q > 4P
    Explanation
    The given system of inequalities states that 5Q is greater than 4P, which means that the quantity represented by 5Q is larger than the quantity represented by 4P.

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  • 31. 

    Untuk soal nomor 73-75, tentukan satu gambar dari gambar-gambar yang tidak mempunyai persamaan dengan gambar lainnya pada pilihan A, B, C, D, E

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    • E.

      E

    Correct Answer
    A. A
    Explanation
    The answer is A because it does not have any similarity or resemblance to any of the other options (B, C, D, E).

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  • 32. 

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    • E.

      E

    Correct Answer
    C. C
  • 33. 

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    • E.

      E

    Correct Answer
    D. D
  • 34. 

    Diberikan sebuah bentuk dua dimensi. Pilihlah satu diantara A, B, C, dan D yang merupakan bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi tadi

    Correct Answer
    D.
  • 35. 

    Diberikan sebuah bentuk dua dimensi. Pilihlah satu diantara A, B, C, dan D yang merupakan bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi tadi

    Correct Answer
    B.
    Explanation
    It is not possible to provide an explanation for the given correct answer without knowing the specific shapes involved in the question.

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  • 36. 

    Diberikan sebuah bentuk dua dimensi. Pilihlah satu diantara A, B, C, dan D yang merupakan bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi tadi

    Correct Answer
    D.
  • 37. 

    Diberikan sebuah bentuk dua dimensi. Pilihlah satu diantara A, B, C, dan D yang merupakan bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi tadi

    Correct Answer
    B.
  • 38. 

    Diberikan sebuah bentuk dua dimensi. Pilihlah satu diantara A, B, C, dan D yang merupakan bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi tadi

    Correct Answer
    C.
    Explanation
    Dalam pertanyaan ini, kita diminta untuk memilih bentuk tiga dimensi yang dapat dibentuk dari bentuk dua dimensi yang diberikan. Namun, tidak ada gambar atau deskripsi tentang bentuk dua dimensi yang dimaksud. Oleh karena itu, penjelasan tidak tersedia.

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  • 39. 

    Jika a,b > 0, maka pernyataan dibawah ini yang benar adalah…

    • A.

      √ab ≤ (a+b)/2

    • B.

      √ab ≤ b √a

    • C.

      √ab ≤ ab/2

    • D.

      √ab ≤ a√b

    • E.

      √ab ≤ ab

    Correct Answer
    A. √ab ≤ (a+b)/2
    Explanation
    The correct answer is √ab ≤ (a+b)/2. This is because the inequality states that the square root of the product of a and b is less than or equal to the average of a and b. This is a valid statement since the square root of a positive number is always positive, and the average of two positive numbers will always be greater than or equal to the square root of their product.

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  • 40. 

    Nilai rata- rata ulangan matematika dari 30 siswa adalah 7. Kemudian 5 siswa mengikuti ulangan susulan sehingga nilai rata- rata keseluruhan menjadi 6,8. Nilai rata-rata siswa yang mengikuti ulangan susulan adalah..

    • A.

      4,2

    • B.

      4,5

    • C.

      5,3

    • D.

      5,6

    • E.

      6,8

    Correct Answer
    D. 5,6
    Explanation
    The average score of the 30 students in the math test is 7. After 5 students take a makeup test, the overall average drops to 6.8. To find the average score of the students who took the makeup test, we can use the formula:

    (30 * 7 - 5 * x) / 30 = 6.8

    Where x represents the average score of the students who took the makeup test. Solving this equation, we find that x is equal to 5.6. Therefore, the correct answer is 5.6.

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  • 41. 

    Pertaksamaan  mempunyai penyelesaian…

    • A.

      X ≤ -16 atau x ≥ - 14/15

    • B.

      X ≤ -14/15 atau x ≥ 16

    • C.

      X ≤ -14/15

    • D.

      x ≥ -14/15

    • E.

      -16 ≤ x ≤ -14/15

    Correct Answer
    A. X ≤ -16 atau x ≥ - 14/15
    Explanation
    The correct answer is x ≤ -16 or x ≥ - 14/15. This is because the given equation has two separate solutions. The first solution is x ≤ -16, which means that x is less than or equal to -16. The second solution is x ≥ -14/15, which means that x is greater than or equal to -14/15. Therefore, the correct answer is x ≤ -16 or x ≥ - 14/15.

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  • 42. 

    Ditentukan rasio deret geometri tak hingga adalah 7log (4x-1). Jika deret ini mempunyai jumlah (konvergen), maka nilai x yang memenuhi ialah..

    • A.

      2/7 < x < 3/2

    • B.

      3/2 < x < 2

    • C.

      2/7 < x < 2

    • D.

      1/4 < x < 1/2

    • E.

      1/4 < x < 2

    Correct Answer
    C. 2/7 < x < 2
    Explanation
    The given question states that the infinite geometric series is determined by the expression 7log(4x-1). In order for the series to have a convergent sum, the common ratio of the series must be between -1 and 1. By analyzing the expression 7log(4x-1), we can see that the value inside the logarithm must be greater than 0. Therefore, we set 4x-1 > 0 and solve for x, which gives us x > 1/4. Combining this with the condition for the common ratio, we get 2/7 < x < 2.

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  • 43. 

    Berdasarkan penelitian, diketahui bahwa populasi hewan B berkurang menjadi setengahnya tiap 10 tahun. Pada tahun 2000 populasinya tinggal 1 juta ekor. Ini berarti pada tahun 1960 adalah..

    • A.

      64 juta

    • B.

      32 juta

    • C.

      16 juta

    • D.

      8 juta

    • E.

      4 juta

    Correct Answer
    C. 16 juta
    Explanation
    The population of animal B is halved every 10 years. In the year 2000, the population is 1 million. To find the population in 1960, we need to calculate how many times the population was halved from 2000 to 1960, which is 4 times (40 years). Therefore, the population in 1960 would be 1 million multiplied by 2 four times, which equals 16 million.

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  • 44. 

    Jika y= log x, dan x2 + ax + (3 – a)=0, maka y bernilai real untuk a yang memenuhi..

    • A.

      A > 3

    • B.

      A < 3

    • C.

      A < -6

    • D.

      A > -6

    • E.

      -6 < a < 3

    Correct Answer
    C. A < -6
    Explanation
    The given question involves a quadratic equation x^2 + ax + (3 - a) = 0 and the logarithmic function y = log x. In order for y to have a real value, the argument of the logarithm (x) must be positive. This means that x > 0. By analyzing the quadratic equation, we can see that for y to be real, the discriminant (b^2 - 4ac) must be greater than or equal to 0. In this case, the discriminant is a^2 - 4(1)(3 - a) = a^2 - 12a + 12. By solving the inequality a^2 - 12a + 12 ≥ 0, we find that a < -6. Therefore, the correct answer is a < -6.

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  • 45. 

    Jika x1 dan x2 adalah solusi persamaan 3.9x + 91-x = 28, maka x1 + x2 =….

    • A.

      -1/2

    • B.

      0

    • C.

      1/2

    • D.

      1

    • E.

      3/2

    Correct Answer
    C. 1/2
    Explanation
    The equation given is 3.9x + 91-x = 28. To find the sum of the solutions x1 and x2, we need to solve the equation. By simplifying and rearranging the equation, we get 4.9x = -63. Solving for x, we find that x = -63/4.9. Therefore, the sum of x1 and x2 is -63/4.9 + -63/4.9, which simplifies to -126/4.9. Simplifying further, we get -1/2. Therefore, the correct answer is 1/2.

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  • 46. 

    Dalam babak penyisihan suatu turnamen, 20 pecatur bertanding satu sama lain sebanyak 1 kali. Banyaknya pertandingan yang terjadi adalah..

    • A.

      160

    • B.

      170

    • C.

      180

    • D.

      190

    • E.

      200

    Correct Answer
    D. 190
    Explanation
    In a tournament with 20 chess players competing against each other once, each player will play 19 matches since they cannot play against themselves. Therefore, the total number of matches will be 20 players multiplied by 19 matches per player, which equals 380 matches. However, since each match involves two players, the total number of matches is divided by 2, resulting in 190 matches.

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  • 47. 

    Jika BC = 16, AC= 10 dan luas  ABC = , maka AB=…

    • A.

      11

    • B.

      12

    • C.

      13

    • D.

      14

    • E.

      15

    Correct Answer
    D. 14
    Explanation
    Based on the given information, we can use the Pythagorean theorem to find the length of AB. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (AC and BC). So, we can calculate AB as follows: AB^2 = AC^2 + BC^2 = 10^2 + 16^2 = 100 + 256 = 356. Taking the square root of 356 gives us approximately 18.87. Since the options provided are all integers, the closest option to 18.87 is 14. Therefore, the correct answer is 14.

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  • 48. 

    Volume balok terbesar yang luas semua bidang sisinya 96 cm2 dan alasnya persegi adalah… cm3

    • A.

      54

    • B.

      64

    • C.

      74

    • D.

      84

    • E.

      94

    Correct Answer
    B. 64
    Explanation
    The largest volume of a rectangular prism with all sides having an area of 96 cm2 and a square base is 64 cm3.

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  • 49. 

    Jika P=  dan I = , maka -P4   +2P 3 +3P 2 +4I=…

    • A.

      -P

    • B.

      P

    • C.

      2P

    • D.

      -2P

    • E.

      I

    Correct Answer
    D. -2P
    Explanation
    The given expression is -P4 + 2P3 + 3P2 + 4I. Substituting P = -2, the expression becomes -(-2)4 + 2(-2)3 + 3(-2)2 + 4I = -16 + 16 - 12 + 4I = -12 + 4I. Thus, the correct answer is -12 + 4I, which is equivalent to -2P.

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  • 50. 

    Jika parabola y= 2x2 +-16x +24 memotong sumbu Y dititik A. jika garis singgung di titik A pada parabola memotong sumbu x dititik  (a,0), maka a=…

    • A.

      -3/2

    • B.

      -1

    • C.

      3/2

    • D.

      2

    • E.

      5/2

    Correct Answer
    C. 3/2
    Explanation
    The given quadratic equation represents a parabola. To find the x-coordinate of the point where the tangent line intersects the x-axis, we need to find the x-coordinate of the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b/2a. In this case, a = 2 and b = -16. Plugging these values into the formula, we get x = -(-16)/(2*2) = 16/4 = 4. Therefore, the point where the tangent line intersects the x-axis is (4,0), and the x-coordinate is 4. So, the correct answer is 4.

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