Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? QOI 5, OMG 10, MKE 15, KIC 20, ?
IGA 25
To solve this problem, we must find the logic behind the given series of letter-number clusters and complete it by identifying the appropriate letter-number cluster to replace the question mark.
The series given is: QOI 5, OMG 10, MKE 15, KIC 20, ?
Let's break down each component of the series:
- Pattern Analysis: We observe a pattern in the letters and the increment in numbers.
- Letters:
- First letters: Q, O, M, K. The sequence suggests each letter decreases by 2 in the English alphabet.
- Q (17) → O (15) → M (13) → K (11)
- Second letters: O, M, K, I. Similarly, this sequence decreases by 2 as well.
- O (15) → M (13) → K (11) → I (9)
- Third letters: I, G, E, C. This sequence decreases by 2.
- I (9) → G (7) → E (5) → C (3)
- First letters: Q, O, M, K. The sequence suggests each letter decreases by 2 in the English alphabet.
- Numbers:
- The numbers following the letter groups are: 5, 10, 15, 20, which increase by 5 each time. This suggests an arithmetic progression with a common difference of 5.
- Therefore, the next number should be 25.
Applying the pattern:
- For the next letter cluster, decrease each letter by 2:
- Previous first letter K (11) → Next is I (9).
- Previous second letter I (9) → Next is G (7).
- Previous third letter C (3) → Next is A (1).
Thus, the correct letter-number cluster is "IGA 25".
Conclusion:
The complete logically structured sequence is: QOI 5, OMG 10, MKE 15, KIC 20, and finally, IGA 25. Therefore, the correct answer is IGA 25.
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