Directions: Study the following information to answer the given questions.A word and number arrangement machine when given an input line of… — Answer & Discussion

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?

AMultiple of 5
BMultiple of only 3
CMultiple of only 4
DMultiple of both 3 and 4

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity18 Jun 2019

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.