Difficulty: Easy
Correct Answer: 34512
Explanation:
Introduction / Context:
This is another dictionary order problem where you must arrange a list of words as they would appear in a standard English dictionary. Even though some spellings like “Cannal” and “Capricon” look slightly off, you still follow the strict alphabetical comparison of their letters. The goal is to determine the correct index sequence of these words.
Given Data / Assumptions:
- Words with indices:
1. Clamp
2. Cloud
3. Cable
4. Cannal
5. Capricon
- We apply normal alphabetical comparison of letters from left to right.
- Dictionary order depends purely on letter sequence, not meaning.
Concept / Approach:
To arrange words alphabetically, compare them letter by letter. First, group by the first differing letter. Here, all words begin with C, so we compare the second letter, then the third, and so on as needed. It often helps to mentally sort subsets of words that share the same initial pattern, then merge them into a final order.
Step-by-Step Solution:
Step 1: Note that all words start with 'C', so go to the second letter.
Second letters: Clamp (l), Cloud (l), Cable (a), Cannal (a), Capricon (a).
Step 2: Words with 'Ca' (Cable, Cannal, Capricon) come before words with 'Cl' (Clamp, Cloud), because a comes before l.
Step 3: Order the 'Ca' words by third letter: Cable (C a b...), Cannal (C a n...), Capricon (C a p...). Here b < n < p, so the order is Cable (3), Cannal (4), Capricon (5).
Step 4: Now order the 'Cl' words: Clamp (C l a...), Cloud (C l o...). Comparing 'a' with 'o' shows that Clamp (1) comes before Cloud (2).
Step 5: Combine the two groups: 3, 4, 5, 1, 2.
Verification / Alternative check:
Imagine the words written on a page under the letter C. You would first see all the “Ca…” words: Cable, Cannal, Capricon, then the “Cl…” words: Clamp, Cloud. Within “Ca…”, you naturally see the b-word, then the n-word, then the p-word. Within “Cl…”, you see Clamp before Cloud. This confirms the final sequence 34512.
Why Other Options Are Wrong:
- 35412 swaps Cannal and Capricon incorrectly, even though n comes before p.
- 43512 starts with Cannal instead of Cable, ignoring that b comes before n.
- 45312 places Capricon before Cannal despite p coming after n.
Common Pitfalls:
A common mistake is to focus on the first few letters and then guess, especially when several words share the same first two letters. Another is to be distracted by familiar words or meanings instead of strict letter sequences. To avoid errors, explicitly compare letters at the first position where they differ and proceed systematically.
Final Answer:
In dictionary order, the words appear as Cable, Cannal, Capricon, Clamp, Cloud, corresponding to the index sequence 34512.
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