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

Introduction / Context:
This spelling recognition question asks you to identify the one wrongly spelt word among four similar looking options. Such questions are common in competitive exams because they test careful reading and familiarity with standard English spellings. The words here are of moderate difficulty and can easily be confused if you only glance at them quickly.

Given Data / Assumptions:
- Options: 'Bulettin', 'Barrage', 'Buoyant', 'Beginner'.
- Exactly one word is incorrectly spelt, and the others are correct according to standard English dictionaries.

Concept / Approach:
The word that exam setters clearly intend to test here is 'Bulletin', which is often misspelt due to its double consonants and vowel pattern. The correct spelling is 'Bulletin' with 'bul' plus 'letin' (b-u-l-l-e-t-i-n), not 'Bulettin'. The other words are correctly spelt: 'Barrage' (meaning a heavy, continuous attack or flow), 'Buoyant' (able to float or cheerful) and 'Beginner' (a person who is just starting to learn or do something). Therefore, you should select the word whose spelling does not match its standard dictionary form.

Step-by-Step Solution:
Step 1: Check 'Bulettin'. It looks similar to 'Bulletin', a word commonly used for news sheet or notice, but the letters are in the wrong pattern. Step 2: Recall the correct spelling 'Bulletin': b-u-l-l-e-t-i-n rather than b-u-l-e-t-t-i-n. Step 3: Check 'Barrage'. This is correctly spelt with double 'r' and 'a-g-e' at the end. Step 4: Check 'Buoyant'. This is correctly spelt b-u-o-y-a-n-t, describing something that can float or a cheerful mood. Step 5: Check 'Beginner'. This word correctly has double 'n' in the middle, b-e-g-i-n-n-e-r.

Verification / Alternative check:
If you consult a standard dictionary or think of everyday usage, you will see announcements like 'school bulletin', 'news bulletin' or 'official bulletin'. All are spelt 'Bulletin' with two l's followed by 'e-t-i-n'. The option 'Bulettin' reverses the positions of the vowels and consonants, creating an incorrect form. The other three words appear exactly as they do in normal reading material, confirming that 'Bulettin' is the only misspelt word.

Why Other Options Are Wrong:
'Barrage' is correct and often used in phrases like 'a barrage of questions'. 'Buoyant' is correct in contexts such as 'buoyant market' or 'buoyant mood'. 'Beginner' is correct and should not be confused with shorter forms such as 'beginer', which would be wrong. None of these three show any letter order or doubling problem, so they cannot be the incorrect spelling demanded by the question.

Common Pitfalls:
Candidates sometimes doubt their own memory when they see double consonants and may suspect words like 'Beginner' or 'Barrage' because of the repeated letters. However, double consonants are very common in English and are often correct. A good strategy is to imagine common phrases where each word is used; if the spelling in your mind matches the option, it is likely correct. In this case, 'school bulletin' is a very standard phrase, making 'Bulettin' stand out as wrong once you recall the correct form 'Bulletin'.

Final Answer:
The incorrectly spelt word is Bulettin; the correct spelling should be 'Bulletin'.