Arrange the following words in the order in which they occur in an English dictionary and select the correct sequence of roman numerals. i. Regular ii. Reinforcement iii. Rainbow iv. Remedy

Introduction / Context:
Once again, this question checks the ability to place words in dictionary order when they share a common starting letter sequence. The words Regular, Reinforcement, Rainbow, and Remedy all begin with R but differ in the next letters. We need to determine the correct alphabetical order of these words and then express that order using the roman numerals provided in the question.

Given Data / Assumptions:

• Words with roman numerals:
  • i. Regular
  • ii. Reinforcement
  • iii. Rainbow
  • iv. Remedy
• All words start with R.
• Dictionary order is based on comparing letters from left to right.

Concept / Approach:
To arrange these words alphabetically, we look at the second letter after R. Rainbow begins with R A, while Regular, Reinforcement, and Remedy begin with R E. Since A comes before E in the alphabet, Rainbow must appear before all R E words. Among the three R E words, the ordering depends on the third letter after RE: Regular (REG), Reinforcement (REI), and Remedy (REM). We compare these sequences carefully to derive the correct internal order among them.

Step-by-Step Solution:
Step 1: Identify the second letters: Rainbow (R A), Regular (R E), Reinforcement (R E), Remedy (R E). Since A comes before E, Rainbow is placed first. Step 2: Now focus on the words beginning with R E. Compare the sequences: Regular (R E G), Reinforcement (R E I), Remedy (R E M). Step 3: Among G, I, and M, the alphabetical order is G, I, M. Therefore Regular comes before Reinforcement, and Reinforcement comes before Remedy. Step 4: Combining these results, the complete dictionary order is Rainbow (iii), Regular (i), Reinforcement (ii), Remedy (iv), which corresponds to iii, i, ii, iv.

Verification / Alternative check:
We can verify by writing the words as they might appear in a dictionary: Rainbow, Regular, Reinforcement, Remedy. Under the letter R, words starting with RA precede all words starting with RE. Within RE words, it is easy to see that REG appears before REI and REM. Converting this sequence back to roman numerals yields iii, i, ii, iv, which matches our earlier deduction and appears as an answer option.

Why Other Options Are Wrong:
Option A (iii, i, iv, ii) places Remedy before Reinforcement, even though M in Remedy comes after I in Reinforcement. Option B (iv, i, iii, ii) incorrectly starts with Remedy, ignoring the fact that Rainbow with RA must be first. Option D (iii, iv, i, ii) puts Remedy before Regular and Reinforcement, which does not match the G, I, M ordering. Option E (ii, iii, i, iv) makes Reinforcement the first word, although it begins with R E while Rainbow begins with R A, which must come earlier.

Common Pitfalls:
Some candidates overlook the significance of the second letter after R and try to group words by meaning, for example associating Regular and Reinforcement, which is not relevant for dictionary order. Others may compare only the first two letters and forget to examine the third and fourth letters in detail. Always proceed stepwise: first separate RA and RE words, then arrange the RE words by comparing the next letters until a clear order appears.

Final Answer:
The correct dictionary order is Rainbow, Regular, Reinforcement, Remedy which corresponds to the roman numeral sequence iii, i, ii, iv.