TIMO Khối 9 – Vòng Quốc gia (Heat Round) – Đề số 2

Given A, B and C are three non-zero digits and the 3-digit numbers formed by these three digits have the following properties: 1. BAC is divisible by 37; 2. BCA is divisible by 5; 3. ABC has an odd number of factors. Find the 3-digit number CBA.

Số ước lẻ; 3-digit number: Số có 3 chữ số.

Non-zero digits: Chữ số khác 0; Properties: Tính chất; Divisible: Chia hết; Odd number of factors:

Given that the mean, median, range and the only mode of 100 integers are also 100. If A is the largest integer among those 100 integers, find the maximum value of A.

nhiều nhất);

Mean: Trung bình cộng; Median: Trung vị; Range: Khoảng giá trị; Mode: Mốt (Số xuất hiện

Integers: Số nguyên

Maximum value: Giá trị lớn nhất

10000 children, numbered 1 to 10000, sit around a circle in order. Each child has an integer in hand. The child numbered 1 has the integer 1. Given that the sum of the integers of any 2017 consecutive children is equal to 2017. What is the integer held by the child numbered 1874?

Circle: Vòng tròn; In order: Thứ tự; Integer: Số nguyên; Consecutive: Liền kề; Equal: Bằng với.