Given the following coded sentences:

I. "town is clean" is coded as "mp wy hz", "small area city" is coded as "rt mh ap" and "town is good" is coded as "hz aw wy"

II. "town is authentic" is coded as "wy ap hz", "every city worth" is coded as "mt rt ng" and "no best city" is coded as "ax nr rt"

III. "town is best" is coded as "wy nf hz", "best small city" is coded as "rt sk ax" and "level in city" is coded as "wr rt uc"

What is the code of the word "town"?

Choose the correct option:

Question

Given the following coded sentences:

I. "town is clean" is coded as "mp wy hz", "small area city" is coded as "rt mh ap" and "town is good" is coded as "hz aw wy"

II. "town is authentic" is coded as "wy ap hz", "every city worth" is coded as "mt rt ng" and "no best city" is coded as "ax nr rt"

III. "town is best" is coded as "wy nf hz", "best small city" is coded as "rt sk ax" and "level in city" is coded as "wr rt uc"

What is the code of the word "town"?

Choose the correct option:

Accepted Answer

**Solution:**

We need to find the code for the word **"town"** using the given coded sentences.

---

### Step 1: Analyze Statement I

- "town is clean" → "mp wy hz"
- "small area city" → "rt mh ap"
- "town is good" → "hz aw wy"

From the first and third sentences, common words: "town" and "is" appear in both.
Common codes between "mp wy hz" and "hz aw wy" are "wy" and "hz".

So, "town" and "is" correspond to "wy" and "hz" (order unknown).

---

### Step 2: Analyze Statement II

- "town is authentic" → "wy ap hz"
- "every city worth" → "mt rt ng"
- "no best city" → "ax nr rt"

From the first sentence, codes are "wy ap hz" for "town is authentic".

Comparing with statement I, "wy" and "hz" again appear with "town" and "is".

So, "wy" and "hz" are consistently linked to "town" and "is".

---

### Step 3: Analyze Statement III

- "town is best" → "wy nf hz"
- "best small city" → "rt sk ax"
- "level in city" → "wr rt uc"

Again, "town is best" has codes "wy nf hz".

Common codes "wy" and "hz" appear again with "town" and "is".

---

### Step 4: Identify the code for "town"

From all statements, "town" and "is" correspond to "wy" and "hz".

To distinguish which code corresponds to "town" and which to "is":

Look at the phrase "town is good" (statement I) → "hz aw wy"

"good" is a new word, so "aw" must be "good".

So, codes "hz" and "wy" correspond to "town" and "is".

Similarly, "town is authentic" → "wy ap hz"

"authentic" is new, so "ap" is "authentic".

Codes "wy" and "hz" again for "town" and "is".

"town is best" → "wy nf hz"

"best" is new, so "nf" is "best".

Again, "wy" and "hz" are for "town" and "is".

---

### Step 5: Use other sentences to identify "is"

Look at "small area city" → "rt mh ap" (statement I)

"ap" was identified as "authentic" in statement II, so this is a conflict.

This suggests that codes may be reused for different words in different statements, or the code for "ap" is ambiguous.

However, focusing on "town" and "is", the only consistent codes are "wy" and "hz".

---

### Step 6: Final deduction

Since "wy" and "hz" always appear together with "town" and "is", but we cannot distinguish which is which from any single statement alone, data from all statements together is needed.

Hence, only by combining all statements can we confidently say that the code for "town" is either "wy" or "hz".

Since the question asks for the code of "town", and the data from all statements together is required to identify it, the correct answer is:

**(e) If data in all statements i.e., I, II and III together is sufficient**

---

**Answer:** (e)

Answer

Answer

Answer

Answer