Which letter cluster will replace the question mark (?) to complete the given series?
RDLS, VKBF, ?, DYHF, HFXS
Correct Answer :
ZRRS
Solution :
The correct answer is ZRRS.
To find the missing letter cluster in the series, let us analyze the pattern followed by each letter position in the clusters: RDLS, VKBF, ?, DYHF, and HFXS.
Let us write down the alphabetical positions of the letters (A = 1, B = 2, ..., Z = 26):
1st Letter Pattern: R → V → ? → D → H
R = 18
V = 22
D = 4 (or 30)
H = 8 (or 34)
The difference between consecutive letters is +4:
18 + 4 = 22 (V)
22 + 4 = 26 (Z)
26 + 4 = 30 (which corresponds to 30 - 26 = 4, i.e., D)
4 + 4 = 8 (H)
So, the first letter is Z.
2nd Letter Pattern: D → K → ? → Y → F
D = 4
K = 11
Y = 25
F = 6 (or 32)
The difference between consecutive letters is +7:
4 + 7 = 11 (K)
11 + 7 = 18 (R)
18 + 7 = 25 (Y)
25 + 7 = 32 (which corresponds to 32 - 26 = 6, i.e., F)
So, the second letter is R.
3rd Letter Pattern: L → B → ? → H → X
L = 12
B = 2 (or 28)
H = 8
X = 24
The difference between consecutive letters is -10:
12 - 10 = 2 (B)
2 - 10 = -8 (which corresponds to 26 - 8 = 18, i.e., R)
18 - 10 = 8 (H)
8 - 10 = -2 (which corresponds to 26 - 2 = 24, i.e., X)
So, the third letter is R.
4th Letter Pattern: S → F → ? → F → S
S = 19
F = 6
The pattern alternates between subtracting and adding 13:
19 - 13 = 6 (F)
6 + 13 = 19 (S)
19 - 13 = 6 (F)
6 + 13 = 19 (S)
So, the fourth letter is S.
Combining the letters from each step, we get the letter cluster ZRRS.
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