Comprehension

Directions: Study the following information carefully and answer the questions given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. The following is the illustration of the input and the steps of arrangement.

Input:    12, 17, 14, 23, 22, 19, 25, 29

Step I:    6, 16, 10, 10, 8, 20, 14, 22

Step II:   9, 64, 25, 25, 16, 100, 49, 121

Step III: 15, 20, 17, 17, 16, 22, 19, 23

Step IV: 9, 18, 9, 9, 9, 18, 9, 18

Step V:   11, 20, 11, 11, 11, 20, 11, 20

What will be the fifth step of the following input?

Input 52, 78, 43, 39, 47, 36, 57, 19

This question was previously asked in
SBI PO Prelims Memory Based Paper (Held on:25 June 2018)
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  1. 78, 43, 52, 39, 47, 57, 36, 19
  2. 11, 20, 11, 20, 20, 20, 20, 20
  3. 39, 43, 47, 78, 36, 57, 52, 19
  4. 47, 36, 43, 39, 57, 19, 52, 78
  5. None of these

Answer (Detailed Solution Below)

Option 2 : 11, 20, 11, 20, 20, 20, 20, 20
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Detailed Solution

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Logic:

Step I: Add the digits of the number and multiply by 2.

Step II: Divide the number by 2 and square it.

Step III: Take Square root and add 12 in it

Step IV: Subtract the sum of digit from number

Step V: Add 2 in each number

Input:    52, 78, 43, 39, 47, 36, 57, 19

Step I:    14, 30, 14, 24, 22, 18, 24, 20

Step II:   49, 225, 49, 144, 121, 81, 144, 100

Step III: 19, 27, 19, 24, 23, 21, 24, 22

Step IV: 9, 18, 9, 18, 18, 18, 18, 18

Step V:   11, 20, 11, 20, 20, 20, 20, 20

Hence, “11, 20, 11, 20, 20, 20, 20, 20” will be fifth step of given input.
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