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Directions: Study the following information to answer the given questions. A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule. The following is an illustration of input and rear

Directions: Study the following information to answer the given questions.

A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule. The following is an illustration of input and rearrangement.

Input:                 15       11       18       14       16       06       19       13

Step1:                    14                   15                 12                   15

Step2:                               14                   45                  36

Step3:                                            9                    4

Step4:                                                       5

Step 4 is the last step of the rearrangement. As per the rules followed in the above steps, find out in each of the following questions.

Input: 15          04     12      15       19     10     24     07


What is Difference between sum of numbers of step 1 and product of numbers of step 3? 


1). Multiple of 5
2). Multiple of only 3
3). Multiple of only 4
4). Multiple of both 3 and 4

This Question has 1 answers.

Here mathematical operation is followed in every step

Input: 15    11     18     14     16     06     19     13

Average of first and last and second and second last number and so on taken and written.

Step1: (15 + 13)/2 = 14   (11 + 19)/2 = 15  (18 + 06)/2 = 12  (14 + 16)/2 = 15  

First number is multiplied with difference with its next number.

Step2: 14 × (15 – 14) = 14   15 × (15 – 12) = 45      12 × (15 – 12) = 36

Second number is divided by sum of digit of his previous number

Step3: 45/(1 + 4) = 45/5 = 9 36/(4 + 5) = 36/9 = 4

Difference between numbers

Step4: 9 – 4 = 5

Now, for Input:

Input:          15          04     12      15       19     10     24     07

Step1:                 11               14               11               17

Step2:                           33               42               66

Step3:                                    7                 11

Step4:                                              4

Sum of numbers of step 1 ⇒ 11 + 14 + 11 + 17 = 53

Product of numbers of step 3 ⇒ 7 × 11 = 77

Difference = 77 – 53 = 24

As we can see 24 is multiple of both 3 and 4 therefore this is correct option.

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