Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete? GXM 5, JVN 11, MTO 24, PRP 51, ?
SPQ 106
The given series of letter-number clusters is: GXM 5, JVN 11, MTO 24, PRP 51, ?. We need to find the pattern in the series to replace the question mark (?) with the correct option.
Let's analyze each part (letters and number) in the given series:
- Each cluster consists of three letters and a number.
- We notice the letters in each cluster change and follow a pattern.
- The numbers 5, 11, 24, and 51 appear to follow a numerical progression.
Firstly, observe the letters:
- The first letter sequence: G, J, M, P. These letters have ASCII values of 71, 74, 77, and 80 respectively, indicating a pattern with a difference of 3 for the first letter.
- The second letter sequence: X, V, T, R. These letters have ASCII values of 88, 86, 84, and 82 respectively, indicating a decrease by 2.
- The third letter sequence: M, N, O, P. These letters increase sequentially by 1 in the alphabet.
Now, consider the numbers:
- The numbers are 5, 11, 24, and 51. To find the pattern, look at the differences:
- 11 - 5 = 6
- 24 - 11 = 13
- 51 - 24 = 27
- Notice that these differences approximately follow a pattern related to powers of 2: 6 ≈ 21 x 2, 13 ≈ 22 x 2 + 1, 27 = 23 x 3 + 3.
To find the next value in the series, it's likely the difference is approximately 55 or 54 from 51, suggesting the factor as (24 x 2) ± 1.
Therefore, adding 55 to 51 gives us 106.
Thus, the next letter-number cluster is SPQ 106, following the letter pattern and the discussed number pattern.
Conclusion: The correct answer is SPQ 106.
Similar Questions
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Important Questions from Alpha-numeric series
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Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? _sr_tr_srs_r_srst_
Find the missing number in the following series: 43, 172, 86, 344, ?
Select the missing numbers from the given alternatives
How many such pairs of letters are there in the word JOURNEY (in forward direction), each of which has as many letter in the same sequence between them in the word as in the English alphabet?
