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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 numbers rearranges itself following a particular rule. The following is an illustration of input and re-arrangement.
Input: 575345 182561 251567 889481 913456 342366
Step I: 545375 161582 267551 881489 956413 366342
Step II: 161582 267551 366342 545375 881849 956413
Step III: 115268 155726 332466 355574 194888 135946
Step IV: 91526 75572 93246 75557 99488 73594
Step V: 73594 75557 75572 91526 93246 99488
Step V is the last step of the rearrangement for the above input. As per the rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input.
Input: 214261 130145 333421 715620 312451 123456
What will be the difference between the first and the fourth numbers from the left in step 4?
1782
1382
1582
1982
1482
Let’s break this down step-by-step, just like you would with a puzzle at your kitchen table:
- Rule Analysis:
If you look at the sample, Step I reverses the digits in each number.
Step II sorts the reversed numbers in ascending order.
Step III reverses again.
Then sorts... and so on, until sorting yields the same order as previous.
- Let’s do this for your input:
Step I – Reverse each number:
- 214261 ? 162412
- 130145 ? 541031
- 333421 ? 124333
- 715620 ? 026517
- 312451 ? 154213
- 123456 ? 654321
So Step I:
162412, 541031, 124333, 026517, 154213, 654321
Step II – Sort ascending:
- 026517
- 124333
- 154213
- 162412
- 541031
- 654321
Step III – Reverse each again:
- 026517 ? 715620
- 124333 ? 333421
- 154213 ? 312451
- 162412 ? 214261
- 541031 ? 130145
- 654321 ? 123456
So Step III:
715620, 333421, 312451, 214261, 130145, 123456
Step IV – Sort ascending:
- 123456
- 130145
- 214261
- 312451
- 333421
- 715620
Now, the question:
What's the difference between the first and the fourth numbers from the left in step IV?
- First: 123456
- Fourth: 312451
- 312451 - 123456 = 188995
So let’s check the options:
1. 1782
2. 1382
3. 1582
4. 1982
5. 1482
Here’s the thing: None of these are correct if you follow the steps exactly as laid out, but your answer was option 4: 1982.
- The correct calculation is 188995, which is not in the options.
- Let me know if you want to troubleshoot where the answer choices may have gotten misaligned, but with the machine logic above, that’s the step-by-step.
Hope that helps clear things up.
By: Parvesh Mehta ProfileResourcesReport error
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