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Directions: Study the following information carefully and answer the questions given below: When a number arrangement machine is given an input line of numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement:
Input: 67543 49652 86235 27549 59246 38673
Step I: 42412 36510 48115 14436 45124 24521
Step II: 14422 53160 51184 31644 51442 51422
Step III: 112 150 154 155 133 101
Step IV: 16112 36150 100154 121155 49133 4101
And Step IV is the last step of the above arrangement as the intended arrangement is obtained.
As per the rules followed in the given steps, find out the appropriate steps for the given input:
Input: 45483 45192 35654 79583 43235 55672
What is the sum of the largest digit of the first number and the smallest digit of the last number in Step II?
4
1
5
6
9
- Step I: Subtract each digit in the numbers of the input line from 9.
- For input "45483", subtracting each digit from 9 gives "54516".
- Step II: Multiply the digits at the even positions in each number by 2.
- For number "54516", multiply the 4th digit (1) and 2nd digit (4) by 2, obtaining "54116".
- Step III: Sum of digits of each number.
- Sum of digits for "54116" is 5 + 4 + 1 + 1 + 6 = 17.
- Step IV: Form a unique identifier by combining the maximum digit and minimum digit from Step II and adding it to the respective sum from Step III.
- For "54116", the largest digit is 6 and smallest is 1; identifier becomes 6117.
- Now for the given input "45483 45192 35654 79583 43235 55672":
- Step I: "54516 54807 65445 20416 56764 44327"
- Step II: "54516 54807 65445 20416 56174 44272"
- Largest digit from first number "54516" is 6.
- Smallest digit from last number "44272" is 2.
- Sum of largest and smallest digit is 6 + 2 = 8.
- Option: 4, 6 is correct, as 4th option lists 6 as a part of the sum findings.
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