Question

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

1. 2, 10, 8, 14, 5, 3
2. 2, 10, 8, 13, 5, 1
3. 2, 8, 10, 14, 5, 1
4. 3, 8, 9, 13, 5, 1

Answer 1

Correct Answer - Option 3 : 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.

Input:	9	75	113	213	33	5
Step IV	11	77	115	215	35	7
Step III	6	72	110	210	30	2
Step II	4	64	100	196	25	1
Step I	2	8	10	14	5	1