If TEMPLE is coded as ELPMET, then how will CHURCH be coded as?
HCRUHC
The problem asks us to decipher a specific coding pattern used to transform the word "TEMPLE" into "ELPMET" and then apply the same pattern to code the word "CHURCH". These types of questions test your ability to recognize logical sequences and transformations between sets of letters or numbers.
Let's look closely at the relationship between the letters in the original word "TEMPLE" and the coded word "ELPMET".
Original word: TEMPLE
Coded word: ELPMET
We can observe the positions of the letters:
| Original Word | Position | Coded Word | Position in Coded Word |
|---|---|---|---|
| T | 1st | E | 1st |
| E | 2nd | L | 2nd |
| M | 3rd | P | 3rd |
| P | 4th | M | 4th |
| L | 5th | E | 5th |
| E | 6th | T | 6th |
Comparing the letters at corresponding positions doesn't immediately show a simple substitution like A becomes B. Let's try comparing the letters in the coded word to the letters in the original word based on their sequence:
This shows a clear pattern: the coded word is simply the reverse of the original word. The letters of TEMPLE are written in reverse order to get ELPMET.
Let's represent this reversal:
$$ \text{TEMPLE} \rightarrow \text{E-L-P-M-E-T} $$Reading TEMPLE from right to left gives E, L, P, M, E, T, which is ELPMET.
Now, we apply the same reversal pattern to the word "CHURCH".
Original word: CHURCH
We need to write the letters of CHURCH in reverse order. The letters are C, H, U, R, C, H.
Reading CHURCH from right to left gives:
Putting these letters together in this order gives HCRUHC.
So, the coded word for CHURCH is HCRUHC.
Let's compare our derived coded word (HCRUHC) with the given options:
The coded word HCRUHC correctly follows the reversal pattern identified from the TEMPLE to ELPMET transformation.
The coding pattern used is the reversal of the original word. Applying this pattern to CHURCH results in HCRUHC.
| Original Word | Transformation | Coded Word |
|---|---|---|
| TEMPLE | Reverse the letters | ELPMET |
| CHURCH | Reverse the letters | HCRUHC |
Coding and decoding problems in reasoning often involve various patterns. Besides simple reversal, other common patterns include:
Identifying the pattern is the key to solving such problems. Always look for the simplest pattern first, such as reversal or simple shifting, before considering more complex rules.
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