GRID Conundrum

Logic Level 2

The line goes through 6 squares

Then Imagine you have a 9 x 28 grid (9 as y)

Then how many squares will the line go through if the line formulae is the same as the picture ?


The answer is 18.

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1 solution

Let the line makes an angle α α with the x x axis. Then tan α = 1 2 = 9 n \tan α=\dfrac{1}{2}=\dfrac{9}{n} , where n n is the required answer. Hence n = 2 × 9 = 18 n=2\times 9=\boxed {18}

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