**Direction:** Read the following information carefully and answer the given questions. When a word and a number rearrangement machine is given an input line of words and numbers, it arranges them following a rule. The following is an illustration of input and rearrangement. **Input:** 7621 BRAVE 3845 TOUCH 6482 DREAM 5173 SHINE 8274 GLOW **Step I:** 49730 AEBRV 9954 OUCHT 36591 AEDMR 25282 EIHNS 64383 OGLW **Step II:** 4379 BFAQU 4599 PVBGS 61359 BFCLQ 22258 FJGMR 46833 PFKV **Step III:** 419 BFQ 423 PVBGS 618 BFCLQ 613 FJGMR 186 PFKV **Step IV:** 14 BFQ 9 BGPSV 15 BCFLQ 10 FGJMR 15 FKPV **Step V:** 17 14 20 15 11 Step V is the last step for the above input. Find out the appropriate steps for the following input. **Input:** 8536 GRACE 2947 MOVIE 6183 BLEND 7312 SMILE 4765 POWER What is the third number from the left in Step II?
Verbal Reasoning
Input and Output
Difficulty: Hard
Choose an option
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A24419
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B44665
-
C22639
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D4659
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E46817
Answer
Correct Answer: 22639
Explanation
### Concept & Logic
To solve this Machine Input-Output problem, we must first decode the operations applied to the numbers and words at each step based on the provided illustration.
**Number Logic:**
* **Step I:** Square the first digit of the input number. Add 109 to the remaining three digits. Concatenate both results. (e.g., $7621 \rightarrow 7^2 = 49$; $621 + 109 = 730 \rightarrow 49730$)
* **Step II:** Extract all even digits and sort them in ascending order, followed by all odd digits sorted in ascending order. (Leading zeros are dropped).
**Word Logic:**
* **Step I:** Rearrange letters so vowels appear first alphabetically, followed by consonants alphabetically.
* **Step II:** Vowels are shifted to the next letter (+1), and consonants to the previous letter (-1).
### Step-by-Step Solution
We need to find the third number from the left in Step II.
The third number in the Input is **6183**.
1. **Step I for 6183:**
* First digit squared: $6^2 = 36$
* Remaining digits + 109: $183 + 109 = 292$
* Step I Number: **36292**
2. **Step II for 36292:**
* Identify even digits: 6, 2, 2. Sorted: 2, 2, 6.
* Identify odd digits: 3, 9. Sorted: 3, 9.
* Concatenate sorted evens and odds: **22639**
### Exam Strategy & Shortcut
For specific positional questions, do not evaluate the entire sequence for all elements. Trace only the specific element requested (the 3rd number) through the required steps (Input $\rightarrow$ Step I $\rightarrow$ Step II) to save time.
### Common Pitfall
A common mistake in Step II is completely sorting all digits indiscriminately, failing to realize that even digits are grouped before odd digits.
### Final Answer
Therefore, the correct answer is **22639**.