Arrange the following words in the order in which they appear in an English dictionary and then select the correct sequence of roman numerals. i. Beguile ii. Bigot iii. Begun iv. Bigamy

Introduction / Context:
This question again tests dictionary or alphabetical ordering skills when words share a common prefix. The four words Beguile, Bigot, Begun, and Bigamy look similar but differ in the second and third letters. To arrive at the correct order, we must carefully apply the rule of comparing letters from left to right and decide which word comes first whenever letters differ at a specific position.

Given Data / Assumptions:

• Words with roman numerals:
  • i. Beguile
  • ii. Bigot
  • iii. Begun
  • iv. Bigamy
• All words start with the letter B.
• Dictionary order uses strict alphabetical comparison of letters.

Concept / Approach:
We first compare the second letters of each word: Beguile and Begun begin with B E, while Bigamy and Bigot begin with B I. Words with B E will precede those with B I, because E comes before I in the alphabet. Once we have ordered the BE words, we follow the same procedure for the BI words. Within each group, if the first three letters are identical, we move to the fourth, and so on, until we can distinguish their order.

Step-by-Step Solution:
Step 1: Split the words by second letter: Beguile and Begun start with B E, while Bigamy and Bigot start with B I. Step 2: Since E comes before I, Beguile (i) and Begun (iii) will come before Bigamy (iv) and Bigot (ii) in any dictionary. Step 3: Among the BE words, compare letters after B E G: Beguile (B E G U I L E) and Begun (B E G U N). After B E G U, Beguile has I and Begun has N. Since I comes before N, Beguile comes before Begun. Step 4: Among the BI words, compare Bigamy (B I G A M Y) and Bigot (B I G O T). After B I G, Bigamy has A and Bigot has O. Since A comes before O, Bigamy comes before Bigot. Therefore, the complete dictionary order is Beguile (i), Begun (iii), Bigamy (iv), Bigot (ii), which is i, iii, iv, ii.

Verification / Alternative check:
We can quickly check by writing the four words in alphabetical order based on their second letters. All words starting with BE must come together before those starting with BI. Then, within BE, we confirm that Beguile comes before Begun, and within BI, that Bigamy comes before Bigot. This confirms the sequence Beguile, Begun, Bigamy, Bigot. Translating back to roman numerals gives i, iii, iv, ii, matching the identified correct option.

Why Other Options Are Wrong:
Option A (i, iii, ii, iv) incorrectly places Bigot before Bigamy, even though A in Bigamy comes before O in Bigot. Option C (i, ii, iii, iv) puts Bigot immediately after Beguile, ignoring both Begun and Bigamy, which is not in line with the BE and BI grouping logic. Option D (i, iv, iii, ii) misplaces Begun, which must come right after Beguile before any BI word. Option E (iii, i, iv, ii) starts with Begun instead of Beguile, even though the fifth letter I in Beguile comes before N in Begun when compared after the shared prefix.

Common Pitfalls:
Many students glance only at the first two or three letters and ignore later differences, especially in longer words. Others try to remember the meanings of the words rather than their spellings, which is irrelevant to dictionary order. A reliable method is always to compare the words systematically character by character until the first difference is found and then apply the alphabet rule at that position.

Final Answer:
The correct alphabetical order is Beguile, Begun, Bigamy, Bigot which is represented by the roman numeral sequence i, iii, iv, ii.