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Bangladesh Mathematical Olympiad 2020 Final

Source: BdMO 2020 Final Primary Category Problem 7

August 30, 2020
number theorynumbers

Problem Statement

Tiham is trying to find 6 digit positive integersPQRSTU PQRSTU (where PQRSTUPQRSTU are not necessarily distinct). But he only wants the numbers where the sum of the 3 digit numberPQR PQR, and the 3 digit number STUSTU is divisible by 37. How many such numbers Tiham can find?
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