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MATH / Tim is doing a cakewalk with 11 steps. He takes his first step on step 1 and takes a total of 139 steps, walking in a circle (so that after the 11th step he reaches the first step …

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problem

Tim is doing a cakewalk with 1111 steps. He takes his first step on step 11 and takes a total of 139139 steps, walking in a circle (so that after the 11th step he reaches the first step again). Which step of the cakewalk does he end on?
Plain-text mathematical notation (without MathML)
Tim is doing a cakewalk with 11 steps. He takes his first step on step 1 and takes a total of 139 steps, walking in a circle (so that after the 11th step he reaches the first step again). Which step of the cakewalk does he end on?
Original LaTeX notation
Tim is doing a cakewalk with $11$ steps. He takes his first step on step $1$ and takes a total of $139$ steps, walking in a circle (so that after the 11th step he reaches the first step again). Which step of the cakewalk does he end on?

level

Level 2

type

Number Theory

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