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. Input: 3 4 9 7 6 11 Step I 9 16 81 49 36 121 Step II 12 20 90 56 42 132 Step III 17 25 95 61 47 137 Step IV 15 23 93 59 45 135   As per the rules followed in the above steps, find the appropriate answer What is the input if the following is the arrangement of Step IV? 9, 75, 113, 213, 33, 5

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. Input: 3 4 9 7 6 11 Step I 9 16 81 49 36 121 Step II 12 20 90 56 42 132 Step III 17 25 95 61 47 137 Step IV 15 23 93 59 45 135   As per the rules followed in the above steps, find the appropriate answer What is the input if the following is the arrangement of Step IV? 9, 75, 113, 213, 33, 5 Correct Answer 2, 8, 10, 14, 5, 1

EXPLANATION:

The logic in this question is:

⇒ In Step (I) we have done the square of all the digits.

⇒ In step (II) we added (input + Step 1), example 9 + 3 = 12.

⇒ In step (III) we added 5 to all the digits

⇒ In step (IV) we are subtracting 2 from all the digits

Now, we have output 9, 75, 113, 213, 33, 5. We will follow these steps backward to obtain the required input.