Question 40

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.

As per the rules followed in the above steps, find the appropriate answer
If 159 is one of the numbers in Step IV, which of the following can be input number?

Solution

We observe that :
Step II+5 = Step III and Step III-2 =StepIV
Step IV -3 = Step II
Now therefore Step II for 159 = 156
Now Input is k then step 1 is k^2 and step II is k^2+k
We get k^2+k =156
k=12
so input is 12

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