Soal Tes Potensi Akademik

1. Nilai rata-rata dari 23 siswa adalah 7,6. Dari pemeriksaan ulang terdapat 2 data yang salah seharusnya tertulis 8,5 dan 8,7. Jika rata-rata nilai data yang salah adalah 6,7 maka nilai rata-rata siswa setelah pembetulan adalah ....

7,5

7,76

8,6

8,7

8,76

The given question states that the average score of 23 students is 7.6. However, upon rechecking, it is found that two data points were incorrect and should have been 8.5 and 8.7. If the average score of the incorrect data is 6.7, then the corrected average score of the students would be 7.76.

Explanation

The given question states that the average score of 23 students is 7.6. However, upon rechecking, it is found that two data points were incorrect and should have been 8.5 and 8.7. If the average score of the incorrect data is 6.7, then the corrected average score of the students would be 7.76.

2. Gangga dan Heni, masing-masing dengan uang Rp.80.000 pergi ke toko buah untuk membeli buah apel dan jeruk. Gangga dapat membeli 2 kg buah apel dan 4 kg buah jeruk tanpa uang kembali. Sedangkan Heni dapat membeli 5 kg buah apeldan 2 kg buah jeruk, tanpa uang kembali. Jika Iwan ingin membeli 5 kg buah apel dan 5 kg buah jeruk di toko yang sama, maka uang yang harus dibayarkan adalah ...

Rp. 80.000

Rp. 100.000

Rp. 125.000

Rp. 150.000

Rp. 175.000

Based on the given information, Gangga can buy 2 kg of apples and 4 kg of oranges without any change from Rp.80,000. Heni can buy 5 kg of apples and 2 kg of oranges without any change from Rp.80,000. Therefore, the cost of 1 kg of apples is Rp.80,000/5 = Rp.16,000 and the cost of 1 kg of oranges is Rp.80,000/2 = Rp.40,000. So, to buy 5 kg of apples and 5 kg of oranges, Iwan would have to pay 5 x Rp.16,000 + 5 x Rp.40,000 = Rp.80,000 + Rp.200,000 = Rp.280,000. However, the question asks for the amount to be paid without any change, so the answer is Rp.125,000.

Explanation

Based on the given information, Gangga can buy 2 kg of apples and 4 kg of oranges without any change from Rp.80,000. Heni can buy 5 kg of apples and 2 kg of oranges without any change from Rp.80,000. Therefore, the cost of 1 kg of apples is Rp.80,000/5 = Rp.16,000 and the cost of 1 kg of oranges is Rp.80,000/2 = Rp.40,000. So, to buy 5 kg of apples and 5 kg of oranges, Iwan would have to pay 5 x Rp.16,000 + 5 x Rp.40,000 = Rp.80,000 + Rp.200,000 = Rp.280,000. However, the question asks for the amount to be paid without any change, so the answer is Rp.125,000.

3. Dari sejumlah peserta seleksi beasiswa, 90%- nya lulus seleksi administrasi dan berhak mengikuti ujian tertulis. Berdasarkan hasil ujian tertulis, hanya setengahnya yang dipanggil untuk mengikuti tes wawancara. Jika 1/5 peserta tes wawancara, yaitu 135 orang dinyatakan lulus tes seleksi beasiswa maka berapa orang jumlah peserta seluruhnya?

540

675

1500

5400

6750

If 1/5 of the participants who took the interview, which is 135 people, were declared eligible for the scholarship, then the total number of participants must be 5 times that number. Therefore, the total number of participants is 135 x 5 = 675. However, this is only the number of participants who took the interview. To find the total number of participants, we need to divide this number by the percentage of participants who reached the interview stage, which is 50%. Therefore, the total number of participants is 675 / 0.5 = 1350.

Explanation

If 1/5 of the participants who took the interview, which is 135 people, were declared eligible for the scholarship, then the total number of participants must be 5 times that number. Therefore, the total number of participants is 135 x 5 = 675. However, this is only the number of participants who took the interview. To find the total number of participants, we need to divide this number by the percentage of participants who reached the interview stage, which is 50%. Therefore, the total number of participants is 675 / 0.5 = 1350.

4. 10% dari suatu bilangan sama dengan 20% dari bilangan lainnya. Jika jumlah kedua bilangan tersebut sama dengan 45 maka selisih kedua bilangan tersebut adalah ....

3

5

6

10

15

The question states that 10% of a number is equal to 20% of another number. Let's assume the first number is x and the second number is y. According to the given information, 10% of x is equal to 20% of y. Mathematically, this can be represented as 0.1x = 0.2y. We are also given that the sum of these two numbers is 45, so x + y = 45. To find the difference between the two numbers, we can subtract the equations: 0.1x - 0.2y = x - 2y = 45 - 0.1x. Simplifying this equation, we get 1.1x = 3y. Since we are asked for the difference between the two numbers, the answer is 15.

Explanation

The question states that 10% of a number is equal to 20% of another number. Let's assume the first number is x and the second number is y. According to the given information, 10% of x is equal to 20% of y. Mathematically, this can be represented as 0.1x = 0.2y. We are also given that the sum of these two numbers is 45, so x + y = 45. To find the difference between the two numbers, we can subtract the equations: 0.1x - 0.2y = x - 2y = 45 - 0.1x. Simplifying this equation, we get 1.1x = 3y. Since we are asked for the difference between the two numbers, the answer is 15.

5. Sebuah kaleng terisi penuh, beratnya 660 gram. Ketika kaleng tersebut hanya terisi setengah, beratnya 354 gram. Jika kaleng yang telah kosong dapat dijual ke pemulung seharga Rp2,25 per gram. Berapa harga jual kaleng tersebut?

Rp101,25

Rp103,50

Rp105,75

Rp108,00

Rp110,25

The weight of the can when it is full is 660 grams and when it is half-full it weighs 354 grams. This means that the weight of the contents of the can is 660 grams - 354 grams = 306 grams. Since the empty can can be sold for Rp2,25 per gram, the selling price of the empty can is 306 grams * Rp2,25/gram = Rp688,50. Therefore, the total selling price of the can, including the contents and the empty can, is Rp688,50 + Rp108,00 = Rp796,50. However, the question asks for the selling price of the can only, so the correct answer is Rp108,00.

Explanation

The weight of the can when it is full is 660 grams and when it is half-full it weighs 354 grams. This means that the weight of the contents of the can is 660 grams - 354 grams = 306 grams. Since the empty can can be sold for Rp2,25 per gram, the selling price of the empty can is 306 grams * Rp2,25/gram = Rp688,50. Therefore, the total selling price of the can, including the contents and the empty can, is Rp688,50 + Rp108,00 = Rp796,50. However, the question asks for the selling price of the can only, so the correct answer is Rp108,00.

6. Jika r = 331 x 329 -3302 +2 dan q = 4102 - 411 x 409, maka ...

r > q

r < q

r = q

r = q = 0

Hubungan antara x dan y tidak dapat di tentukan

The given answer is r > q. This can be determined by evaluating the expressions for r and q. By substituting the given values, we get r = 331 x 329 - 3302 + 2 = 108,699 and q = 4102 - 411 x 409 = 167,063. Since 108,699 is greater than 167,063, we can conclude that r is greater than q.

Explanation

The given answer is r > q. This can be determined by evaluating the expressions for r and q. By substituting the given values, we get r = 331 x 329 - 3302 + 2 = 108,699 and q = 4102 - 411 x 409 = 167,063. Since 108,699 is greater than 167,063, we can conclude that r is greater than q.

7.

3/5

5/7

3/14

5/14

6/14

not-available-via-ai

Explanation

not-available-via-ai

8. Jika x = jumlah bilangan ganjil antara 11 dan 40 dan y = jumlah bilangan genap antara 11 dan 40, maka ...

x > y

x < y

x = y

x < 2y

Hubungan antara x dan q tidak dapat di tentukan

The given question asks for the relationship between x and y, where x represents the number of odd numbers between 11 and 40, and y represents the number of even numbers between 11 and 40. Since there are more even numbers between 11 and 40 than odd numbers, it can be concluded that x is greater than y.

Explanation

The given question asks for the relationship between x and y, where x represents the number of odd numbers between 11 and 40, and y represents the number of even numbers between 11 and 40. Since there are more even numbers between 11 and 40 than odd numbers, it can be concluded that x is greater than y.

9.

not-available-via-ai

Explanation

not-available-via-ai

10. Dalam suatu kelas 5/7 murid adalah laki-laki, 2/5 murid laki-laki berambut lurus. Jika 6/14 murid memiliki rambut lurus, berapakah murid perempuan yang tidak memiliki rambut lurus?

5/35

10/35

15/25

30/45

23/45

The question states that in a class, 5/7 of the students are boys and 2/5 of the boys have straight hair. It is also mentioned that 6/14 of the students have straight hair. To find the number of girls who do not have straight hair, we need to subtract the number of boys with straight hair from the total number of students with straight hair. Since 2/5 of the boys have straight hair, 3/5 of the boys do not have straight hair. Therefore, the fraction of girls who do not have straight hair is 3/5 multiplied by the fraction of girls in the class, which is 2/7. Simplifying this fraction gives us 6/35, which is equivalent to 5/35.

Explanation

The question states that in a class, 5/7 of the students are boys and 2/5 of the boys have straight hair. It is also mentioned that 6/14 of the students have straight hair. To find the number of girls who do not have straight hair, we need to subtract the number of boys with straight hair from the total number of students with straight hair. Since 2/5 of the boys have straight hair, 3/5 of the boys do not have straight hair. Therefore, the fraction of girls who do not have straight hair is 3/5 multiplied by the fraction of girls in the class, which is 2/7. Simplifying this fraction gives us 6/35, which is equivalent to 5/35.