Select the letter-cluster from among the given options that can replace the question mark (?)} in the following series. CLAP, HLVP, HQVK, MQQK, ?
MVQF
This question asks us to identify the next term in a given letter-cluster series. To solve this type of problem, we need to analyze the pattern of change from one letter cluster to the next for each letter position.
Let's break down the given series term by term and observe how each letter position changes:
The series is: CLAP, HLVP, HQVK, MQQK, ?
The pattern for the first letter seems to be +5, +0, +5. Following this pattern, the next step should be +0.
Applying this to the first letter of the last term (M): M (13) + 0 = M (13).
The first letter of the next term is M.
The pattern for the second letter seems to be +0, +5, +0. Following this pattern, the next step should be +5.
Applying this to the second letter of the last term (Q): Q (17) + 5 = V (22).
The second letter of the next term is V.
The pattern for the third letter seems to be -5, +0, -5. Following this pattern, the next step should be +0.
Applying this to the third letter of the last term (Q): Q (17) + 0 = Q (17).
The third letter of the next term is Q.
The pattern for the fourth letter seems to be +0, -5, +0. Following this pattern, the next step should be -5.
Applying this to the fourth letter of the last term (K): K (11) - 5 = F (6).
The fourth letter of the next term is F.
By combining the letters found for each position, the next term in the series is MVQF.
Let's summarize the patterns and the resulting term:
| Position | Term 1 (CLAP) |
Term 2 (HLVP) |
Term 3 (HQVK) |
Term 4 (MQQK) |
Pattern | Next Term (?) |
|---|---|---|---|---|---|---|
| 1st Letter | C (3) | H (8) +5 |
H (8) +0 |
M (13) +5 |
+5, +0, +5, ... (+0 next) | M (13)+0 = M (13) |
| 2nd Letter | L (12) | L (12) +0 |
Q (17) +5 |
Q (17) +0 |
+0, +5, +0, ... (+5 next) | Q (17)+5 = V (22) |
| 3rd Letter | A (1) | V (22) -5 |
V (22) +0 |
Q (17) -5 |
-5, +0, -5, ... (+0 next) | Q (17)+0 = Q (17) |
| 4th Letter | P (16) | P (16) +0 |
K (11) -5 |
K (11) +0 |
+0, -5, +0, ... (-5 next) | K (11)-5 = F (6) |
The next letter cluster in the series is MVQF.
Let's check the given options:
The calculated next term, MVQF, matches option 4.
By analyzing the letter-by-letter progression and identifying the repeating addition/subtraction patterns, we found the next term in the letter-cluster series.
| Concept | Description | Application in this problem |
|---|---|---|
| Letter Position Value | Assigning numerical values (A=1, B=2, ..., Z=26) to letters. | Used to calculate the difference between consecutive letters in each position. |
| Pattern Identification | Observing the sequence of changes (addition/subtraction) for each letter position. | Found the repeating patterns (+5, +0, +5, +0), (+0, +5, +0, +5), (-5, +0, -5, +0), and (+0, -5, +0, -5). |
| Applying the Pattern | Extending the identified pattern to the last term in the series. | Applied the next step in each pattern to the letters of MQQK to get MVQF. |
Letter series problems often involve patterns based on:
A systematic approach, analyzing each position independently, is usually the most effective way to solve complex letter-cluster series.
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