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 95 135 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?

CMAT 2021 Solved Question Paper

Step I

Step II

Step III

Step IV

Question : 44 of 100

Marks: +1, -0

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?

Validate

Solution:

This pattern of given steps of the input is as similar as given in the question number 2 .

Following the pattern, input of the given number 159 in Step II

\table \Input, :,12;,,↓\Squaring \of 12;\Step\I,-,144;,,↓\Add 144 \and 12\;; \Step\II,-,156; ,,\↓\Subtract 5;\Step\III,-,161;,,↓\Subtract 2;\Step \IV,-,159

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