Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. DW, HS, LO, PK, ?
Analyze Letter Series Pattern
To find the missing letter cluster in the series DW, HS, LO, PK, ?, we need to identify the pattern governing the sequence. Let's analyze the relationship between consecutive terms by looking at the positional values of the letters in the English alphabet (A=1, B=2, ..., Z=26).
Step 1: Examine the First Pair (DW to HS)
- D is the 4th letter, W is the 23rd.
- H is the 8th letter, S is the 19th.
- Change in the first letter: Position of H - Position of D = $8 - 4 = +4$.
- Change in the second letter: Position of S - Position of W = $19 - 23 = -4$.
The pattern appears to be: Add 4 to the position of the first letter, and subtract 4 from the position of the second letter.
Step 2: Verify with the Second Pair (HS to LO)
- H is the 8th letter, S is the 19th.
- L is the 12th letter, O is the 15th.
- Change in the first letter: Position of L - Position of H = $12 - 8 = +4$.
- Change in the second letter: Position of O - Position of S = $15 - 19 = -4$.
The pattern (+4, -4) holds true.
Step 3: Verify with the Third Pair (LO to PK)
- L is the 12th letter, O is the 15th.
- P is the 16th letter, K is the 11th.
- Change in the first letter: Position of P - Position of L = $16 - 12 = +4$.
- Change in the second letter: Position of K - Position of O = $11 - 15 = -4$.
The pattern (+4, -4) is consistent across the series.
Step 4: Calculate the Next Term after PK
Applying the (+4, -4) pattern to PK:
- The first letter P (16th position) becomes: $16 + 4 = 20$. The 20th letter is T.
- The second letter K (11th position) becomes: $11 - 4 = 7$. The 7th letter is G.
Therefore, the next letter cluster in the series is TG.
Conclusion
The letter cluster that replaces the question mark (?) is TG, which corresponds to Option 3.
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Important Questions from Letter Based Series
Select the option that represents the letters that when placed from left to right in the blanks below will complete the given letter series.
M N _ O J K M _ Q O J K _ N Q _ J K M N Q O _ K M N
Select the option that represents the letters that when placed from left to right in the blanks below will complete the given letter series.
B _ E N B _ C E N B B C _ N B B C E _ B _ C
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
MSD: NHW :: OAE : LZV :: NIP : ?
Select the option that represents the letters that when sequentially placed from left to right in the blanks below will complete the letter series.
Y _ Y _ _ Y _ T _ Y _ Y
Select the option that represents the letters that when sequentially placed from left to right in the blanks below will complete the letter series.
Y _ Y _ _ Y _ T _ Y _ Y
