
matematika
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Others
•
1st - 5th Grade
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Practice Problem
•
Hard
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6 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 20 pts
Diketahui bahwa ab dan cd adalah dua bilangan yang hasil kalinya adalah 555. Jika ab < cd, maka nilai dari a + b adalah...
6
2
8
10
2.
MULTIPLE CHOICE QUESTION
2 mins • 20 pts
Masing-masing petak pada papan berukuran 2025×3 akan diwarnai dengan salah satu dari warna hitam atau putih, sedemikian sehingga pada setiap sub-papan berukuran 2 × 2, terdapat masing-masing sebanyak ganjil petak bewarna hitam dan ganjil petak bewarna putih. Misalkan banyaknya cara pewarnaan petak yang mungkin adalah A. Sisa dari A ketika dibagi 1000 adalah...
200
0
728
700
3.
MULTIPLE CHOICE QUESTION
2 mins • 20 pts
Banyaknya bilangan asli a yang kurang dari 187 sehingga FPB(a, 187) = 1 dan a 2 − 1 bukan kelipatan dari 187 adalah...
150
156
200
136
4.
MULTIPLE CHOICE QUESTION
2 mins • 15 pts
Misalkan 𝑓(𝑥) = 𝑎
2𝑥 + 100. Jika
𝑓(20) + 𝑓
−1(22) = 𝑓
−1(20) + 𝑓(22)
maka 𝑓(1) =
200
150
100
101
5.
MULTIPLE CHOICE QUESTION
2 mins • 15 pts
Diketahui 𝑥, 𝑦, 𝑧 adalah bilangan bulat yang memenuhi 𝑥²𝑦 + 𝑦²𝑧 + 𝑧²𝑥 − 17 = 𝑥𝑦² + 𝑦𝑧² + 𝑧𝑥² − 19 = 3𝑥𝑦𝑧. Nilai terbesar dari 𝑥 + 𝑦 + 𝑧 adalah...
15
18
20
14
6.
MULTIPLE CHOICE QUESTION
2 mins • 10 pts
Misalkan 𝐴 adalah himpunan semua bilangan 8-digit yang digit-digitnya adalah 1,2, atau 3 dan memuat paling sedikit satu digit 2. Banyaknya bilangan 𝑁 di 𝐴 sehingga setiap digit 2 di 𝑁 diapit oleh digit 1 dan 3 adalah...
560
200
500
600
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