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Logic Level 1

Find the next number in this sequence,

81 , 62 , 43 , 24 , 4 , 85 , ? 81 ,62 ,43 ,24 ,4, 85 ,?

86 70 66 59

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1 solution

The sequence can be written as

81 , 62 , 43 , 24 , 04 , 85 , . . . 81 , 62 , 43 , 24 , 04 , 85 , ...

Shifting the comma ( , ) (,) on left by one position, we get

8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , . . . 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , ...

Its a sequence of multiples of 8

Using this after we put the commas to original positions we get our next number, 66 \boxed {66}

I haven't think of this and did it in another way.

Ram Mohith - 2 years, 6 months ago

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What did you do?.... I am eager to know. Please do post your solution.

A Former Brilliant Member - 2 years, 6 months ago

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My method is not correct as we will get 5 in the place of 4. However, I will tell the idea of my method assuming that there is 5 instead of 4 :

81 19 62 19 43 19 24 19 5 85 19 66 \ce{81 ->[-19] 62 ->[-19] 43 ->[-19] 24 ->[-19] 5} \quad | \quad \ce{85 ->[-19] 66}

Ram Mohith - 2 years, 6 months ago

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@Ram Mohith Quite close though!.... Even though it missed one point, its still interesting...I like this. Nice work pal:)

A Former Brilliant Member - 2 years, 6 months ago

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@A Former Brilliant Member Thank you. I first thought there was a typo in the question and was about to report it but when I saw your solution I confirmed that 4 should be the correct one.

Ram Mohith - 2 years, 6 months ago

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