In a certain code language used in reasoning questions, the phrase MADHYA PRADESH is written as MDYAHA PAEHRDS by rearranging the letters of each word in a fixed pattern. Using the same pattern, how will the phrase TAMIL NADU be written in that code language?

Introduction / Context:
This question belongs to the verbal reasoning topic of coding–decoding where a phrase is transformed according to a hidden pattern. You are given how MADHYA PRADESH is coded and asked to apply exactly the same logic to TAMIL NADU. The key skill is to examine the positions of letters inside each word and see how they are rearranged. Mastering this technique helps with many similar exam questions where states, cities, or names are used only as raw letter material for pattern recognition.

Given Data / Assumptions:

• Original phrase: MADHYA PRADESH.
• Coded phrase: MDYAHA PAEHRDS.
• Target phrase: TAMIL NADU.
• The coding is applied word by word.
• No letters are added or removed; only positions are changed.

Concept / Approach:
We first focus on the individual words MADHYA and PRADESH. We compare each original word with its coded form, checking the order of letters by position. For MADHYA, which has 6 letters, and PRADESH, which has 7 letters, we observe that letters at odd positions appear first in their original order, followed by letters at even positions. This “odd positions first, then even positions” rule is very common in reasoning questions. Once identified, we apply this same positional rearrangement separately to the two words TAMIL and NADU to obtain the final coded phrase.

Step-by-Step Solution:
Step 1: Take MADHYA with letters at positions: 1 M, 2 A, 3 D, 4 H, 5 Y, 6 A. Step 2: The coded form MDYAHA is: M, D, Y, A, H, A. Step 3: Map positions: odd positions 1,3,5 → M, D, Y; even positions 2,4,6 → A, H, A. So code is (1,3,5,2,4,6). Step 4: Now consider PRADESH with letters: 1 P, 2 R, 3 A, 4 D, 5 E, 6 S, 7 H. Step 5: The coded form PAEHRDS is: P, A, E, H, R, D, S. Step 6: Check positions: odd 1,3,5,7 → P, A, E, H; even 2,4,6 → R, D, S. The code order is 1,3,5,7,2,4,6. Step 7: Conclude the rule: write all letters in odd positions of a word first (in order), then all letters in even positions (in order). Step 8: Now apply this to TAMIL (5 letters): positions 1 T, 2 A, 3 M, 4 I, 5 L. Step 9: Odd positions 1,3,5 → T, M, L; even positions 2,4 → A, I. So code is TMLAI. Step 10: Apply the same to NADU (4 letters): 1 N, 2 A, 3 D, 4 U. Step 11: Odd positions 1,3 → N, D; even positions 2,4 → A, U. So code is NDAU. Step 12: Combine both coded words to get final answer: TMLAI NDAU.

Verification / Alternative check:
To verify, you can reverse the process. From TMLAI, separate the first part as the odd-position letters (T, M, L) and the remaining as even (A, I). Put them back into positions 1,3,5 and 2,4 respectively to get TAMIL again. Similarly, NDAU splits into N, D and A, U which reconstruct NADU. Also, checking MADHYA and PRADESH using this rule yields the exact coded forms given in the question, confirming that our deduction is correct and consistent.

Why Other Options Are Wrong:
Option A (TLMIA NDAU) wrongly changes the order of letters in the first word. The pattern of odd then even positions is not respected. Options C and E (TMLIA NDAU, TMLIA NDUA) mix the even-position letters in the wrong order. Option D (TMLAI NADU) leaves the second word unchanged, ignoring the coding rule. Only Option B follows the exact same odd-then-even positional arrangement that is seen in the example MADHYA PRADESH, so only Option B is logically acceptable.

Common Pitfalls:
A frequent mistake is to focus only on the first word and ignore the second, or to guess patterns based on alphabetical order rather than letter positions. Another common error is to miscount positions, especially when words have different lengths. In coding–decoding questions, always label positions clearly (1,2,3,...) and test your pattern on all sample words before applying it to the target. Careful checking prevents accidental mis-ordering of letters, which is a typical trap in such problems.

Final Answer:
Thus, according to the same coding rule, TAMIL NADU will be written as TMLAI NDAU in that language.