A series is given with one term missing. Select the correct alternative from the given options that will complete the series. EF27, GI34, IL41, KO48, ?
Solving the Series Completion Question: EF27, GI34, IL41, KO48, ?
The question requires finding the missing term in the series EF27, GI34, IL41, KO48. We need to identify separate patterns for the letters and the numbers.
Letter Pattern Analysis
- The series involves pairs of letters followed by numbers. Let's analyze the progression of the letters based on their position in the alphabet (A=1, B=2, ..., Z=26).
- First Letter Progression: E (5) → G (7) → I (9) → K (11). The pattern is adding 2 to the position: $5+2=7$, $7+2=9$, $9+2=11$. The next first letter will be at position $11+2=13$, which is M.
- Second Letter Progression: F (6) → I (9) → L (12) → O (15). The pattern is adding 3 to the position: $6+3=9$, $9+3=12$, $12+3=15$. The next second letter will be at position $15+3=18$, which is R.
- Combining the next letters gives 'MR'.
Number Pattern Analysis
- Let's examine the numerical part of the series: 27, 34, 41, 48.
- Calculate the difference between consecutive numbers:
- $34 - 27 = 7$
- $41 - 34 = 7$
- $48 - 41 = 7$
- The pattern is consistently adding 7 to the previous number.
- Therefore, the next number in the series will be $48 + 7 = 55$.
Conclusion
- Combining the letter pattern (MR) and the number pattern (55), the missing term is MR55.
- This corresponds to Option B.
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