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Directions : Study the following information carefully 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—2538 5628 8516 7524 6325 2645
STEP I- 2358 2568 1568 2457 2356 2456
STEP II- 1568 2356 2358 2456 2457 2568
STEP III- 56 35 35 45 45 56 STEP IV- 11 8 8 9 9 11
Step IV is the last step of the rearrangement.
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: 3846 9213 8273 7341 5218 3285 6925 4758
What will the addition of the numbers which is second, forth, sixth and eight from the left end in step IV?
32
23
38
40
None of these
Let’s really walk through this, step by step. The pattern in the given example is key, so let’s make sure we crack it before checking the final sums.
Here’s what we see in the sample sequence:
- Step I: Rearranged each four-digit number into ascending order of digits.
- Example: 2538 ? 2358
- Step II: Arrange the whole row of numbers (from Step I) in ascending order.
- So all those four-digit numbers are sorted from smallest to largest.
- Step III: For each four-digit number, add up the first two digits and then the last two.
- So, 1568 ? 1+5=6 and 6+8=14 (but the example shows “56,” which means, it just takes the middle digits. But let’s look closer...)
- Actually, on second thought — in the sample, 1568 becomes 56, so they’re just pulling out the middle two digits for each number. Confirmed by more examples there.
- Step IV: Now, with the two-digit values from Step III, add their individual digits.
- So, 56 ? 5+6=11, 35 ? 3+5=8.
So, input your numbers into the process:
Your input:
3846, 9213, 8273, 7341, 5218, 3285, 6925, 4758
# Step I (arrange digits in ascending order):
- 3846 ? 3468
- 9213 ? 1239
- 8273 ? 2378
- 7341 ? 1347
- 5218 ? 1258
- 3285 ? 2358
- 6925 ? 2569
- 4758 ? 4578
# Step II (sort all numbers):
Now, sort:
- 1239, 1258, 1347, 2358, 2378, 2569, 3468, 4578
# Step III (take the middle two digits from each four-digit number):
- 1239 ? 23
- 1258 ? 25
- 1347 ? 34
- 2358 ? 35
- 2378 ? 37
- 2569 ? 56
- 3468 ? 46
- 4578 ? 57
# Step IV (add the two digits of each two-digit number):
- 23 ? 2+3 = 5
- 25 ? 2+5 = 7
- 34 ? 3+4 = 7
- 35 ? 3+5 = 8
- 37 ? 3+7 = 10
- 56 ? 5+6 = 11
- 46 ? 4+6 = 10
- 57 ? 5+7 = 12
Now, per the question—you want the sum of:
- 2nd from left: 7
- 4th from left: 8
- 6th from left: 11
- 8th from left: 12
So, add: 7 + 8 + 11 + 12 = 38
---
- Here’s what that all means: Option 3, 38, is the correct choice.
- You nailed the calculation.
- The other options (32, 23, 40, None) don’t match.
- Option 3: 38 is correct.
- You followed the logic and did the work. Well played.
By: Parvesh Mehta ProfileResourcesReport error
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