Arrange the following words in the order in which they occur in an English dictionary and select the correct sequence of roman numerals. i. Aperture ii. Application iii. Appliance iv. Appeal

Introduction / Context:
In this question, four words starting with the letters A P must be arranged in exact dictionary order. Such problems test careful comparison of words that share common prefixes, in this case A P E and A P P. The candidate must notice that even though the words are all familiar, their alphabetical positions depend strictly on their letter sequence, not on meaning or frequency of use.

Given Data / Assumptions:

• Words with roman numerals:
  • i. Aperture
  • ii. Application
  • iii. Appliance
  • iv. Appeal
• All words begin with A P.
• Standard English dictionary rules apply, comparing letters from left to right.

Concept / Approach:
We first examine the third letter after A P. Aperture begins with A P E, while the other three words begin with A P P. Since E comes before P, Aperture must appear before any of the words beginning with A P P. Once Aperture is placed first, we then order Appeal, Appliance, and Application among themselves by comparing each letter in sequence until a difference automatically determines the order.

Step-by-Step Solution:
Step 1: Separate the words by their first three letters: Aperture (A P E), Appeal (A P P E), Appliance (A P P L), Application (A P P L). Step 2: Since E comes before P, Aperture must come first in any dictionary listing among these words. Step 3: Now consider the three words beginning with A P P. Appeal has A P P E, while Appliance and Application have A P P L. Since E comes before L, Appeal comes next, immediately after Aperture. Step 4: Between Appliance and Application, both start with A P P L I A. Application is longer and has extra letters after the common beginning, so Appliance comes before Application. Therefore, the full order is Aperture (i), Appeal (iv), Appliance (iii), Application (ii), giving i, iv, iii, ii.

Verification / Alternative check:
We can verify quickly by writing or visualising the words: first look at APE versus APP. All APP words must follow APE. Within APP, Appeal has an early E in the fourth position, while Appliance and Application both have L in that position. Words with E at that position must appear before those with L. Finally, among Appliance and Application, the common root works like many prefix cases: the shorter word Appliance comes first. Mapping the resulting order to roman numerals confirms i, iv, iii, ii as the correct option.

Why Other Options Are Wrong:
Option A (iv, i, ii, iii) incorrectly puts Appeal before Aperture, even though Aperture has A P E while Appeal has A P P. Option C (i, iii, ii, iv) places Appliance before Appeal, ignoring that E comes before L at the critical position. Option D (i, ii, iii, iv) wrongly puts Application before Appliance, despite the prefix rule where the shorter word Appliance appears first when spellings are otherwise identical up to a certain point. Option E (iv, iii, i, ii) starts with Appeal and delays Aperture, violating the basic APE before APP rule.

Common Pitfalls:
A frequent mistake is to focus on the meanings, for example thinking that Appeal and Appliance are related in importance and placing them close together without doing a careful letter by letter comparison. Another error is forgetting that when one word is fully contained at the start of another, the shorter word always comes first. Taking a moment to compare the exact spelling of each word avoids these traps.

Final Answer:
The correct dictionary order is Aperture, Appeal, Appliance, Application which in terms of roman numerals is i, iv, iii, ii.