QSTV is related to ZBCE in a certain way based on the English alphabetical order. In the same way, VXYA is related to EGHJ. To which of the following is XZAC related, following the same logic?
Correct Answer :
GIJL
Solution :
The correct option is GIJL.
To solve this letter-analogy problem, we find the pattern by examining the positions of the letters in the standard English alphabetical order (where A = 1, B = 2, ..., Z = 26).
Let us analyze the first relationship: QSTV is related to ZBCE.
First, we write down the numerical positions of the letters in QSTV:
Q = 17
S = 19
T = 20
V = 22
Next, we write down the numerical positions of the letters in ZBCE, accounting for alphabetical wrapping after Z (26) (such that A = 27, B = 28, C = 29, etc.):
Z = 26
B = 2 (or 28)
C = 3 (or 29)
E = 5 (or 31)
Comparing the letters step-by-step:
For the first letters:
which corresponds to Z.
For the second letters:
Wrapping around the 26-letter alphabet: 28 - 26 = 2 (B).
For the third letters:
Wrapping around the 26-letter alphabet: 29 - 26 = 3 (C).
For the fourth letters:
Wrapping around the 26-letter alphabet: 31 - 26 = 5 (E).
The pattern is to shift each letter forward by 9 positions in a cyclic alphabetical order.
Let us verify this with the second pair, VXYA to EGHJ:
V (22) + 9 = 31 ⇒ 31 - 26 = 5 (E)
X (24) + 9 = 33 ⇒ 33 - 26 = 7 (G)
Y (25) + 9 = 34 ⇒ 34 - 26 = 8 (H)
A (1) + 9 = 10 (J)
The pattern of shifting by +9 holds true.
Now, applying the same logic to XZAC:
X (24) + 9 = 33 ⇒ 33 - 26 = 7 (G)
Z (26) + 9 = 35 ⇒ 35 - 26 = 9 (I)
A (1) + 9 = 10 (J)
C (3) + 9 = 12 (L)
Putting these letters together, we get GIJL.
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