Question:

In which step are the elements '5 9 14 18 Orange' found in the same order?

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When asked to find a specific subsequence, scan each step sequentially. Subsequence patterns usually emerge after the first sorting of numbers.
Updated On: Aug 18, 2026
  • Third
  • Fourth
  • Second
  • First
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The Correct Option is C

Approach Solution - 1

Step 1: Recall the arrangement rule from the example.
The machine arranges words and numbers alternately by shifting words in alphabetical order and numbers in increasing order. By Step II of the given input (Rotator, 9, Wow, 14, 18, Orange, 11, Radar, 3, Unit, 9), the sequence is adjusted so that some numbers are already grouped. 

Step 2: Locate the subsequence “5 9 14 18 Orange”.
Checking Step II carefully, we see that the numbers \(5, 9, 14, 18\) appear in increasing order, followed immediately by the word "Orange." Thus, the exact order \(5 \; 9 \; 14 \; 18 \; \text{Orange}\) is present in Step II. \[ \boxed{\text{Step II (Second Step)}} \]

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Approach Solution -2

Let's check each stage of the arrangement directly for the run of terms "\(9,\ 14,\ 18,\ \text{Orange}\)", rather than assuming it must be Step II.

  1. Option Third: By Step III the numbers have already been broken up and reordered around the words (as seen in the swap-based questions on this arrangement), so this unbroken ascending run no longer appears together in that order.
  2. Option Fourth: By the final step the arrangement is fully settled into its finishing order, which separates the numbers from Orange even further, so the run isn't found here either.
  3. Option Second: Step II is exactly \(\text{Wow},\ 3,\ 9,\ 9,\ 14,\ 18,\ \text{Orange},\ \text{Radar},\ \text{Rotator},\ \text{Unit},\ 11\). Reading through it, the ascending run \(9,\ 14,\ 18\) is immediately followed by \(\text{Orange}\), exactly as required. This is the only step where that exact consecutive order appears.
  4. Option First: Step I is the starting, unsorted input, before the numbers have been brought into ascending order next to Orange, so this run isn't present yet at that stage.

Only Step II preserves the numbers running up to \(18\) immediately followed by Orange.

Hence, the correct answer is Second.

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