If lsquo bake rsquo is related to lsquo 16 rsquo in step 8 and lsquo resound rsquo is related to lsq...........

Logical Reasoning(Master ) Input-Output

Directions : Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of numbers/words, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.
Input: garland 10 behest deprive 18 22 savage 42 56 retake
Step 1: best garland 10 deprive 18 22 savage 42 56 retake
Step 2: best garland 10 deprive 18 22 savage 42 retake 28
Step 3: best drive garland 10 18 22 savage 42 retake 28
Step 4: best drive garland 10 18 22 savage retake 21 28
Step 5: best drive gland 10 18 22 savage retake 21 28
Step 6: best drive gland 10 18 savage retake 11 21 28
Step 7: best drive gland rake 10 18 savage 11 21 28
Step 8: best drive gland rake 10 savage 09 11 21 28
Step 9: best drive gland rake sage 10 09 11 21 28
Step 10: best drive gland rake sage 05 09 11 21 28
This is the final arrangement and step 10 is the last step for this input.

Input: 60 resound betake 16 avoid 32 24 repaid 48 strew

If ‘bake’ is related to ‘16’ in step 8 and ‘resound’ is related to ‘24’ in step 5, then in step 3 ‘16’ is related to?

aid

repaid

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Explanation:

For words:
Next step word becomes by deleting second and third letter like behest to best, garland to gland etc.
For number:
In each step the number which is taken at last is divided by 2. Input: 60 resound betake 16 avoid 32 24 repaid 48 strew
Step 1: aid 60 resound betake 16 32 24 repaid 48 strew
Step 2: aid resound betake 16 32 24 repaid 48 strew 30
Step 3: aid bake resound 16 32 24 repaid 48 strew 30
Step 4: aid bake resound 16 32 24 repaid strew 24 30
Step 5: aid bake raid resound 16 32 24 strew 24 30
Step 6: aid bake raid resound 16 24 strew 16 24 30
Step 7: aid bake raid round 16 24 strew 16 24 30
Step 8: aid bake raid round 16 strew 12 16 24 30
Step 9: aid bake raid round sew 16 12 16 24 30
Step 10: aid bake raid round sew 08 12 16 24 30