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In a certain code language the word GLIDERS is rearranged as ERSDGLI. Using the same letter rearrangement pattern, which of the following will be the correct code form of the word TOASTER?

Difficulty: Medium

Correct Answer: TERSTOA

Explanation:


Introduction / Context:
This is a letter rearrangement code question. Instead of shifting letters in the alphabet, the code is created by changing the order of letters according to a fixed pattern. Once you identify how GLIDERS becomes ERSDGLI, you can apply the same positional rearrangement to TOASTER.


Given Data / Assumptions:

  • Original word one: GLIDERS
  • Coded form: ERSDGLI
  • Original word two: TOASTER
  • We assume no letters are added or removed, only rearranged.


Concept / Approach:
For rearrangement codes, the key is to track the position of each letter. We number the letters in the original word and then see which original position corresponds to each letter in the coded word. That pattern of positions is then applied to the second word of the same length.


Step-by-Step Solution:

Step 1: Write GLIDERS with positions: G(1), L(2), I(3), D(4), E(5), R(6), S(7). Step 2: Write the code ERSDGLI and match each letter with its original position: E(5), R(6), S(7), D(4), G(1), L(2), I(3). Step 3: The positional pattern from original to coded word is 1 2 3 4 5 6 7 → 5 6 7 4 1 2 3. Step 4: Apply the same pattern to TOASTER. Number letters: T(1), O(2), A(3), S(4), T(5), E(6), R(7). Step 5: Arrange letters in the order 5, 6, 7, 4, 1, 2, 3. This yields T(5), E(6), R(7), S(4), T(1), O(2), A(3) which is TERSTOA.


Verification / Alternative check:
Count the letter frequency in TOASTER and compare it with TERSTOA. Both contain two Ts, one O, one A, one S, one E, and one R. The code word simply rearranges positions, so the multiset of letters must match. TERSTOA satisfies this requirement and respects the discovered positional permutation.


Why Other Options Are Wrong:

  • TERSTAO uses the same letters but places O and A in the wrong order compared with the 5,6,7,4,1,2,3 pattern.
  • TESRTOA violates the mapping by bringing R too early.
  • TERRTOA repeats R more than once and does not match the letter counts of TOASTER.
  • TERSOTA also breaks the precise positional mapping, since letters at positions two and three are mismatched.


Common Pitfalls:
Many learners rely on rough visual similarity and ignore strict positions, which leads to confusion among close looking options. Another mistake is to think in terms of alphabetical shifts instead of positional rearrangements. For such questions, always map positions methodically and then apply the discovered permutation to the target word.


Final Answer:
The correct coded form of TOASTER is TERSTOA.

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