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Directions (Q. 78-80): Study the following information carefully and answer the questions given below: An input-output is given in different steps. Some mathematical operations are done in each step. No mathematical operation is repeated in the next step. As per the rules followed in the steps given above, find out in each of the following questions the appropriate step for the given input. Note that you may also get fractional values in the boxes.    

Find the difference between the sum of the numbers obtained in Step I and the sum of the numbers obtained in all other steps.

A)  18                               

B)  15                   

C)  21                   

D)         19

E)  13

Correct Answer: A

Solution :

Sum of the numbers obtained in Step 1 = 5 + 9 + 6 + 8 + 4 + 12 = 44 Sum of the numbers obtained in ail other steps = 1 + 8 + 2 + 6 + 4.5 + 4 + 0.5 = 26 Required difference = 44 - 26 = 18 From input to Step 1: \[5\times 1=5,\,\,3\times 3=9\]. So, \[1\times 6=6,\,\,2\times 4=8\]. So, \[2\times 2=4,\,\,4\times 3=12\]. So, From Step 1 to Step 2: 5 +9 + 4 = 18. So, 6 + 8 + 12 = 26. So, From Step 2 to Step 3 \[\frac{1+8}{2}=4.5\]. So, \[\frac{2+6}{2}=4\]. So, From Step 3 to Step 4: \[4.54=0.5\]. So,