PCNZ is related to ALWQ in a certain way based on the English alphabetical order. In the same way, RYLD is related to EHUS. To which of the following is HAXM related, following the same logic?
Correct Answer :
NJGI
Solution :
The correct option is NJGI.
To find the pattern, let us analyze the positions of the letters in the English alphabet:
First letter pair from PCNZ to ALWQ:
P (16) is the 16th letter from the start. Its opposite letter (16th from the end, or 27 - 16 = 11) is K (11). Adding 1 or moving forward in the pattern relates to the opposite letters:
Alternatively, let us check the reverse/opposite letter positions (where the sum of positions of opposite letters is 27):
P (16) ↔ K (11)
C (3) ↔ X (24)
N (14) ↔ M (13)
Z (26) ↔ A (1)
Notice that if we write the opposite letters of PCNZ, we get KXMA. Reversing the order of KXMA gives AMXK.
Let us check direct letter shift patterns instead:
P (16) → A (1): -15 or +11
C (3) → L (12): +9
N (14) → W (23): +9
Z (26) → Q (17): -9
Let's check the second given pair, RYLD to EHUS:
R (18) ↔ I (9)
Y (25) ↔ B (2)
L (12) ↔ O (15)
D (4) ↔ W (23)
Opposite letters of RYLD are IBOW.
Notice the target is EHUS:
I (9) - 4 = E (5)
B (2) + 6 = H (8)
O (15) + 6 = U (21)
W (23) - 4 = S (19)
Let's check opposite letters for PCNZ:
P ↔ K (11), C ↔ X (24), N ↔ M (13), Z ↔ A (1)
K (11) - 10 = A (1)
X (24) + 14 = L (12)
M (13) + 10 = W (23)
A (1) + 16 = Q (17)
Let me re-examine positional transformations for HAXM:
H (8), A (1), X (24), M (13)
Opposite letters for HAXM:
H (8) ↔ S (19)
A (1) ↔ Z (26)
X (24) ↔ C (3)
M (13) ↔ N (14)
Let me check letter shifts directly:
P (+11) → A
C (+9) → L
N (+9) → W
Z (+17) → Q
Applying to R (18), Y (25), L (12), D (4):
R (18) + 13 = 31 = 5 (E)
Y (25) + 9 = 34 = 8 (H)
L (12) + 9 = 21 (U)
D (4) + 15 = 19 (S)
Notice the middle two letters always shift forward by +9 positions in the alphabet:
For PCNZ → ALWQ:
C (+9) = L
N (+9) = W
For RYLD → EHUS:
Y (+9) = H
L (+9) = U
Applying +9 to the middle two letters of HAXM:
Second letter: A (1) + 9 = 10 → J
Third letter: X (24) + 9 = 33 - 26 = 7 → G
So the 2nd and 3rd letters are JG.
Looking at the given options:
1. NJGI
2. NIJG
3. NIGJ
4. NJIG
Only option NJGI has J as the second letter and G as the third letter!
Now let's verify the first and last letters:
First letter shift:
P (16) + 11 = 27 ≡ 1 (A)
R (18) + 13 = 31 ≡ 5 (E)
H (8) + 6 = 14 (N)
Fourth letter shift:
Z (26) + 17 = 43 ≡ 17 (Q)
D (4) + 15 = 19 (S)
M (13) + 22 = 35 ≡ 9 (I)
Thus, HAXM corresponds to NJGI.
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