In the following question, four words are given out of which one word is correctly spelt. Select the correctly spelt word.

Introduction / Context:
This is a spelling based question in which four similar looking words are given, and the examinee must identify the correctly spelt English word. All the options are variations of the noun that refers to an attitude of overbearing pride or self importance. Spelling questions check attention to detail and familiarity with common vocabulary used in reading and writing tasks.

Given Data / Assumptions:

• All four options are attempts at the word arrogance.
• Only one of them follows standard English spelling conventions.
• The options differ mainly in the use of double r, double g, and the endings ance or anse.
• We assume standard British or international English usage as in dictionaries and examination materials.
• The meaning in mind is the quality of being arrogant.

Concept / Approach:
The correct spelling of the noun derived from arrogant is arrogance, with double r, a single g, and the suffix ance. The base adjective arrogant already shows the double r pattern. Many English nouns that describe a state or quality formed from adjectives end in ance, such as importance, tolerance, and brilliance. Therefore, among the options, arrogance is the only one consistent with recognised English spelling rules.

Step-by-Step Solution:
Step 1: Recall the base adjective arrogant, which you may have seen in phrases like an arrogant person. Step 2: Note that this adjective has two r letters and the sequence g a n t at the end. Step 3: Remember that the corresponding noun ends in ance, forming arrogance. Step 4: Compare this expected pattern with each option: arogance has only one r, arroganse ends with anse, and arogans e has both single r and incorrect ending. Step 5: Identify arrogance in option D as the exact standard spelling with double r and ance.

Verification / Alternative check:
You can verify your choice by mentally placing each spelling into a sentence, such as His arrogance annoyed everyone. Only arrogance looks familiar and balanced. Additionally, you can use your memory of dictionary entries or textbooks, which consistently use arrogance with the ance ending. The other forms look unusual and do not appear in standard printed materials.

Why Other Options Are Wrong:
arogance: This misspells the word by using only one r. The correct pattern, matching arrogant, requires two r letters. arroganse: Although this keeps the double r, it replaces the correct suffix ance with anse, which is not used in this noun form. aroganse: This combines both types of error, using single r and the incorrect ending anse.

Common Pitfalls:
Many learners struggle with double consonants and similar sounding suffixes like ance, ence, and anse. A useful strategy is to learn words in families. If you know arrogant, it is easier to remember arrogance. Spelling practice through writing and reading is more reliable than trying to memorise isolated words just before an exam. Also, pay attention to common noun forming patterns like ance, ence, ity, and ment, which recur across many English words.

Final Answer:
The correctly spelt word is arrogance (option D).