Question Details

Which letter cluster will replace the question mark (?) to complete the given series?
TDQR, SFNV, ?, QJHD, PLEH

Options

A

RHKZ

B

RGJZ

C

FJCQ

D

IDBZ

Show Answer

Correct Answer :

Option A

RHKZ

Solution :

The correct option is RHKZ.

To find the missing letter cluster in the series, let us analyze the pattern of the letters at each corresponding position across the clusters: TDQR, SFNV, ?, QJHD, PLEH.

1st Letter Pattern:
T → S → ? → Q → P
Let us write their numerical positions in the English alphabet:
T = 20, S = 19, Q = 17, P = 16.
The pattern is a constant subtraction of 1:
20 - 1 = 19 (S)
19 - 1 = 18 (R)
18 - 1 = 17 (Q)
17 - 1 = 16 (P)
Therefore, the first letter of the missing cluster is R.

2nd Letter Pattern:
D → F → ? → J → L
Let us look at their numerical positions:
D = 4, F = 6, J = 10, L = 12.
The pattern is a constant addition of 2:
4 + 2 = 6 (F)
6 + 2 = 8 (H)
8 + 2 = 10 (J)
10 + 2 = 12 (L)
Therefore, the second letter of the missing cluster is H.

3rd Letter Pattern:
Q → N → ? → H → E
Let us look at their numerical positions:
Q = 17, N = 14, H = 8, E = 5.
The pattern is a constant subtraction of 3:
17 - 3 = 14 (N)
14 - 3 = 11 (K)
11 - 3 = 8 (H)
8 - 3 = 5 (E)
Therefore, the third letter of the missing cluster is K.

4th Letter Pattern:
R → V → ? → D → H
Let us look at their numerical positions:
R = 18, V = 22, D = 4 (which is 26 + 4), H = 8 (which is 26 + 8).
The pattern is a constant addition of 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)
Therefore, the fourth letter of the missing cluster is Z.

Combining all the letters at their respective positions, we get the cluster: RHKZ.

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