$O$ double of a number divided by 5 leaves a remainder of 1. What is the remainder of the division of this number by 5?



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According to the data from the problem, double the number is a multiple of 5 plus 1. Since multiples of 5 end in 0 or 5, the double ends in 1 or 6. But the double is an even number, so it ends in 6. Thus, the number ends in 3 or 8, therefore when divided by 5, it leaves a remainder of 3.