Button of mobile phone

Logic Level 2

if a mobile phone contain infinite number of button like that.

what will be in 67 8 th 678^\text{th} row?

678 677 676 2034 2033 2032 676 677 678 2032 2033 2034

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1 solution

Anish Harsha
Mar 10, 2016

D 1 2 3 6 5 4 7 8 9 12 11 10 \begin{array}{c}D 1 \ 2 \ 3 \\ 6 \ 5 \ 4 \\ 7 \ 8 \ 9 \\ 12 \ 11 \ 10 \\ \ldots \end{array}

As the series goes continuous , then the number which would come in the 678th row would be ( 678 × 3 ) , ( 678 × 3 1 ) (678\times 3) , (678\times 3 -1) and ( 678 × 3 2 ) (678\times 3 - 2) .

So, in the odd row, the sequence is going front , whereas in even row the sequence is reversed. Thus, 678 is a even number and the number should be reversed. Our desired answer is

2034 , 2033 , 2032 2034, 2033, 2032

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