RML MAINS 2025
Reasoning
Hard
Complete this series - A, C, F, J, O, ...?
Appeared in: RML MAINS 2025
Explanation
- The series follows a pattern where the difference between the alphabetical positions of consecutive letters increases by one each time.
- A (1st) -> C (3rd) is a difference of +2.
- C (3rd) -> F (6th) is a difference of +3.
- F (6th) -> J (10th) is a difference of +4.
- J (10th) -> O (15th) is a difference of +5.
- Therefore, the next letter must be the 15th position + 6, which is 21. The 21st letter is U.
Why Other Options Were Wrong
- Option A: S is the 19th letter. This would correspond to adding 4 to the position of O (15), which disrupts the pattern of adding consecutively increasing numbers (+2, +3, +4, +5, ...).
- Option B: T is the 20th letter. This would correspond to adding 5 to the position of O (15). This repeats the previous difference (+5) instead of increasing it to +6, breaking the established progressive pattern.
- Option D: V is the 22nd letter. This would correspond to adding 7 to the position of O (15). This skips the next logical step in the sequence (+6) and jumps directly to +7.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Letter Series Completion as background academic context rather than a clinical decision trigger.
- This type of question tests logical reasoning and pattern recognition, which are essential cognitive skills for problem-solving in any field, including nursing.
- Nurses use pattern recognition to identify trends in a patient's vital signs, symptoms, or lab results, which can indicate improvement or deterioration.
- Strong analytical skills help in prioritizing tasks, making quick decisions under pressure, and anticipating potential patient needs or complications.
How to Approach the Question
- First, observe the letters in the series: A, C, F, J, O.
- Convert each letter to its corresponding numerical position in the alphabet (A=1, C=3, F=6, J=10, O=15).
- Analyze the sequence of numbers (1, 3, 6, 10, 15) to find the mathematical pattern. Calculate the difference between consecutive numbers: (3-1=2), (6-3=3), (10-6=4), (15-10=5).
- Identify the rule: the difference increases by 1 at each step (+2, +3, +4, +5, ...).
- Apply the rule to find the next term. The next difference to add is 6. So, 15 + 6 = 21.
- Convert the resulting number (21) back to its corresponding letter, which is U.
Concept Tested & Keywords
- Concept Tested: Logical Reasoning - Letter Series Completion
- Stem keywords: series, A, C, F, J, O
- Lead-in keywords: Complete
Question ID
QKEy9SrSf937QeyUVCMjyR
Practise the full RML MAINS 2025
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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