Find the pattern

Logic Level 3

1 1

1 1 , 2 2

1 1 , 3 3 , 2 2

4 4 , 1 1 , 3 3 , 2 2

5 5 , 4 4 , 1 1 , 3 3 , 2 2

5 5 , 4 4 , 1 1 , 6 6 , 3 3 , 2 2

5 5 , 4 4 , 1 1 , 7 7 , 6 6 , 3 3 , 2 2

8 8 , 5 5 , 4 4 , 1 1 , 7 7 , 6 6 , 3 3 , 2 2

8 8 , 5 5 , 4 4 , 9 9 , 1 1 , 7 7 , 6 6 , 3 3 , 2 2

8 8 , 5 5 , 4 4 , 9 9 , 1 1 , 7 7 , 6 6 , 10 10 , 3 3 , 2 2

If we continue the pattern above, in which position should 11 11 be placed?

For example, if you think the next sequence should be

8 8 , 5 5 , 4 4 , 9 9 , 1 1 , 7 7 , 6 6 , 11 \boxed {11} , 10 10 , 3 3 , 2 2

then your answer should be 8 t h 8th .

7th 3rd Last 1st 5th 6th 9th 2nd

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1 solution

Efren Medallo
Jun 20, 2015

Notice that on every row, the numbers are sorted alphabetically. So, when 11 11 will be added, it should be on the 2 n d 2nd position.

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