In a certain code language, the sentence "who are you" is written as 432, "they is you" is written as 485 and "they are dangerous" is written as 295. Based on this pattern, which digit represents the word "dangerous"?

Introduction / Context:
This is a classic verbal reasoning coding and decoding problem. Each word in a sentence is represented by a distinct digit. By comparing sentences that share some words, we can identify which digit corresponds to each word. The goal is to determine the digit that encodes the word dangerous.

Given Data / Assumptions:

• "who are you" is coded as 432.
• "they is you" is coded as 485.
• "they are dangerous" is coded as 295.
• The order of digits in a code is not important; only word–digit mapping matters.
• Each distinct word corresponds to a unique digit.

Concept / Approach:
When sentences share common words, the digits that appear in both corresponding codes must represent those shared words. By taking intersections of digit sets from the codes for overlapping sentences, we can successively identify the digits for you, they, and are, and then deduce the digit left over for dangerous.

Step-by-Step Solution:
From "who are you" → 432, the digits represent {who, are, you}. From "they is you" → 485, the digits represent {they, is, you}. The common word between these two sentences is you. The common digit between the codes 432 and 485 is 4. Therefore, you is coded as 4. Now take "they is you" → 485 and "they are dangerous" → 295. The common word is they. The common digit between 485 and 295 is 5. So they is coded as 5. Next, compare "who are you" → 432 and "they are dangerous" → 295. The common word here is are. The common digit between 432 and 295 is 2. So are is coded as 2. In the third code 295, the digits correspond to {they, are, dangerous}. We already know they = 5 and are = 2, so the remaining digit 9 must represent dangerous.

Verification / Alternative check:
We can quickly verify consistency: In 432, digits {4,3,2} map to {you, who, are}; in 485, digits {4,8,5} map to {you, is, they}; and in 295, digits {2,9,5} map to {are, dangerous, they}. The mapping is one-to-one and consistent across all three sentences.

Why Other Options Are Wrong:
Digit 2 represents are, not dangerous. Digit 4 represents you, and 5 represents they. Therefore, options 2, 4 and 5 are already associated with other words and cannot encode dangerous. Only 9 remains available for dangerous.

Common Pitfalls:
Learners sometimes assume that word positions must match digit positions, but in many codes the order of digits is irrelevant. Another common mistake is forgetting that each word must have a unique digit. Once a digit is assigned to a word, it cannot be reused for a different word.

Final Answer:
The word dangerous is coded by the digit 9.