Which of the following letter-clusters will replace the question mark (?) in the given series? DBK, GDL, JFM, MHN, ?
This question asks us to find the next term in a given series of letter clusters: DBK, GDL, JFM, MHN, ?. To solve this, we need to identify the pattern governing the progression of letters in each position within the clusters.
Let's analyze the series by looking at the letters in the first, second, and third positions separately.
The first letters in the series are: D, G, J, M, ?
Let's find the positional value of each letter in the English alphabet:
The sequence of positional values is 4, 7, 10, 13, ?. We can see a consistent pattern:
$$4 \xrightarrow{+3} 7$$ $$7 \xrightarrow{+3} 10$$ $$10 \xrightarrow{+3} 13$$Following this pattern, the next positional value will be $13 + 3 = 16$. The 16th letter of the alphabet is P.
The second letters in the series are: B, D, F, H, ?
Let's find the positional value of each letter:
The sequence of positional values is 2, 4, 6, 8, ?. This shows a clear pattern:
$$2 \xrightarrow{+2} 4$$ $$4 \xrightarrow{+2} 6$$ $$6 \xrightarrow{+2} 8$$Following this pattern, the next positional value will be $8 + 2 = 10$. The 10th letter of the alphabet is J.
The third letters in the series are: K, L, M, N, ?
Let's find the positional value of each letter:
The sequence of positional values is 11, 12, 13, 14, ?. This shows a simple pattern:
$$11 \xrightarrow{+1} 12$$ $$12 \xrightarrow{+1} 13$$ $$13 \xrightarrow{+1} 14$$Following this pattern, the next positional value will be $14 + 1 = 15$. The 15th letter of the alphabet is O.
By combining the next letters found for each position, we get the next letter cluster in the series:
The next letter cluster is PJO.
Let's summarize the patterns observed:
| Position | Letters in Series | Positional Values | Pattern | Next Value | Next Letter |
|---|---|---|---|---|---|
| First | D, G, J, M, ? | 4, 7, 10, 13, ? | Add 3 | 16 | P |
| Second | B, D, F, H, ? | 2, 4, 6, 8, ? | Add 2 | 10 | J |
| Third | K, L, M, N, ? | 11, 12, 13, 14, ? | Add 1 | 15 | O |
Therefore, the letter-cluster that will replace the question mark (?) is PJO.
| Term | First Letter | Second Letter | Third Letter |
|---|---|---|---|
| 1st | D (4) | B (2) | K (11) |
| 2nd | G (7) | D (4) | L (12) |
| 3rd | J (10) | F (6) | M (13) |
| 4th | M (13) | H (8) | N (14) |
| Pattern | +3 | +2 | +1 |
| 5th (Next) | P (16) | J (10) | O (15) |
Letter series questions are common in logical reasoning tests. They require you to identify a pattern in a sequence of letters or letter clusters. The patterns can be based on:
To solve these questions effectively, it's helpful to know the alphabetical position of each letter (A=1, B=2, ..., Z=26) and practice identifying different types of sequences. Writing down the positional values is often the first step to uncover numerical patterns.
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