In a code language, 'want to go fishing' is written as '4227', 'deep in the sea' is written as '4233', 'under the clear blue sky' is written as '53543'. What is the code for the phrase 'come along with me' in this language?
4542
The problem provides examples of phrases translated into a numerical code. We need to identify the underlying rule or pattern used for this translation and then apply it to a new phrase.
Let's analyze the given examples:
Let's examine the words in each phrase and count the number of letters (their length):
| Phrase | Words | Word Lengths | Given Code |
|---|---|---|---|
| want to go fishing | want, to, go, fishing | 4, 2, 2, 7 | 4227 |
| deep in the sea | deep, in, the, sea | 4, 2, 3, 3 | 4233 |
| under the clear blue sky | under, the, clear, blue, sky | 5, 3, 5, 4, 3 | 53543 |
Comparing the word lengths with the given codes, we can observe a clear pattern. The numerical code for each phrase is formed by concatenating the length of each word in the phrase, in the exact order they appear.
The pattern is consistently the concatenation of word lengths.
Now, we apply this identified pattern to the phrase 'come along with me'. We determine the length of each word in this specific phrase:
| Word | Length |
|---|---|
| come | 4 |
| along | 5 |
| with | 4 |
| me | 2 |
The lengths of the words are 4, 5, 4, and 2, respectively.
Following the pattern, we concatenate these lengths in order to get the code for 'come along with me':
Code = Length('come')Length('along')Length('with')Length('me')
Code = 4 × 5 × 4 × 2
Wait, it's not multiplication, it's concatenation!
Code = $\text{Concatenate}(4, 5, 4, 2)$
Code = 4542
So, the code for the phrase 'come along with me' is 4542.
Here is a quick recap of the code language and its application:
| Concept | Details |
|---|---|
| Rule Identification | Based on examples, the code is formed by concatenating the lengths of the words. |
| Phrase to Code Example | 'want to go fishing' (4, 2, 2, 7) → 4227 |
| Target Phrase | 'come along with me' |
| Word Lengths | come (4), along (5), with (4), me (2) |
| Final Code Generation | Concatenate the lengths: 4542 |
Coding and decoding problems are a significant part of logical reasoning sections in many tests. They require keen observation and pattern recognition. Common types include:
Solving these problems effectively relies on systematically analyzing the given examples to deduce the specific rule being used before applying it to the target word or phrase.
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