In the following question, from the given alternative words, select the word which cannot be formed by using the letters of the word LEGISLATOR.

Introduction / Context:
This is another word formation problem where the candidate must determine which given option cannot be formed from the letters of a specific word. The base word is LEGISLATOR, and the options are common English words. The skill being tested is careful counting of letters and checking for missing or insufficient letters. These questions help assess attention to detail and the ability to handle verbal information systematically, which is important in many competitive examinations.

Given Data / Assumptions:
- The source word is LEGISLATOR.
- Its letters are: L, E, G, I, S, L, A, T, O, R.
- Each letter in the source word can be used at most as many times as it appears there.
- We cannot introduce any new letters that are not present in LEGISLATOR.

Concept / Approach:
The approach is to first count the frequency of each letter in LEGISLATOR, then compare this frequency with each option word. If an option uses a letter that does not appear in the source word, it is impossible. If an option uses some letter more times than available, it is also impossible. The word that violates these rules is the one that cannot be formed. All other words that respect these restrictions are considered possible constructions.

Step-by-Step Solution:
Step 1: Count the letters in LEGISLATOR: A(1), E(1), G(1), I(1), L(2), O(1), R(1), S(1), T(1). Step 2: Option Raise uses letters R, A, I, S, E. All of these appear at least once in the source word, and none is required more than once. So Raise can be formed. Step 3: Option Gist uses G, I, S, T. All four letters are present in LEGISLATOR and used only once, so Gist can be formed. Step 4: Option Legal uses L, E, G, A, L. This needs two L, one E, one G and one A. The source word has exactly two L and one of each of the others, so Legal can be formed. Step 5: Option Greater uses G, R, E, A, T, E, R. This needs G(1), R(2), E(2), A(1), T(1). However, LEGISLATOR only contains R(1) and E(1). Step 6: Because Greater requires two R and two E but the source has only one of each, Greater cannot be formed from LEGISLATOR. Step 7: Option Tails uses T, A, I, L, S. Each of these letters is present in the source word with sufficient counts, so Tails can be formed.

Verification / Alternative check:
An easy verification method is to write out LEGISLATOR, circle each letter as it is used for a candidate option and check whether any extra letters are required. For Raise, Gist, Legal and Tails you will be able to circle all required letters without running out. For Greater you will find that after using R and E once, you still need additional R and E which are no longer available, proving that the formation is impossible. This manual marking method confirms the earlier frequency based analysis.

Why Other Options Are Wrong:
Option A (Raise) is constructible because all its letters are present with enough frequency. Option B (Gist) uses four letters all present in the source. Option C (Legal) uses exactly two L and one of A, E and G which matches availability. Option E (Tails) uses T, A, I, L and S, each within available counts. None of these violate the constraints. Only option D requires extra copies of R and E, so it fails the requirement of using letters within the source word limits.

Common Pitfalls:
Candidates sometimes overlook repeated letters in options, assuming that if one copy is available then multiple copies must also be allowed. Another common error is to miscount letters in the source word, especially when there are duplicates like the two L in LEGISLATOR. Students may also get distracted by the meaning of the words instead of focusing on letter counts. To avoid these pitfalls, always build a frequency table and systematically compare each option against it.

Final Answer:
The word that cannot be formed from the letters of LEGISLATOR is Greater.