Question 44

A number -arrangement machine, when given an input string of numbers, arranges them following a particular pattern. The following is the illustration of an input and its arrangement.

What is the input if the following is the arrangement of Step IV?
9, 75, 113, 213, 33, 5

Solution

Step IV we have 9, 75, 113, 213, 33, 5
Now step II+5 = Step III and Step III-2 =StepIV
So we get Step II Step IV -3
Now so Step II =6,72,110,210,30,2
Now Input is k then step 1 is k^2 and step 2 is k^2+k
so equating k^2+k with numbers  we get input as :
2,8,10,14,5,1


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