In a certain code language, ‘OFFCUTS’ is written as ‘LUUXDEF’ and ‘PARADOX’ is written as ‘KZIZUJA’. How will ‘NAILING’ be written in that language?
- ACSAWQMI
- BVTGDESF
- CBJMUROL
- DMZROPKR
Solution & Step-by-step Explanation
Let's analyze the pattern by looking at opposite pairs (pairs of letters that sum to 27 in positional values):
O ↔ L (Opposite pair)
F ↔ U (Opposite pair)
F ↔ U (Opposite pair)
C ↔ X (Opposite pair)
U ↔ F (Opposite pair)
T ↔ G → but here it is D? Let's re-examine carefully.
Let's check the positional values:
O(15), F(6), F(6), C(3), U(21), T(20), S(19)
L(12), U(21), U(21), X(24), D(4), E(5), F(6)
Notice that:
O(15) → Opposite is L(12)
F(6) → Opposite is U(21)
F(6) → Opposite is U(21)
C(3) → Opposite is X(24)
U(21) → Opposite is F(6) → wait, the code has D(4)? Let's look at the reverse order or matching from end to beginning.
Let's check the opposite pairs of the word 'OFFCUTS' written in reverse order:
The reverse of 'OFFCUTS' is S, T, U, C, F, F, O.
Opposites of reverse:
S → H
T → G
U → F
C → X
F → U
F → U
O → L
This gives HGFXUUL, which doesn't match LUUXDEF.
Let's look closely at 'OFFCUTS' vs 'LUUXDEF':
O (15) → L (12) [Opposite]
F (6) → U (21) [Opposite]
F (6) → U (21) [Opposite]
C (3) → X (24) [Opposite]
U (21) → D (4) [Opposite of U is F(6), 6−2=4?]
T (20) → E (5) [Opposite of T is G(7), 7−2=5?]
S (19) → F (6) [Opposite of S is H(8), 8−2=6?]
Let's test this "Opposite for first 4, Opposite - 2 for last 3" hypothesis on 'PARADOX' → 'KZIZUJA':
P (16) → K (11) [Opposite]
A (1) → Z (26) [Opposite]
R (18) → I (9) [Opposite]
A (1) → Z (26) [Opposite]
D (4) → Opposite is W (23). 23−2=21→ U. (Matches!)
O (15) → Opposite is L (12). 12−2=10→ J. (Matches!)
X (24) → Opposite is C (3). 3−2=1→ A. (Matches!)
So the pattern is:
First 4 letters: Pairs of opposite letters.
Remaining letters: Opposite letter position −2.
Applying this to 'NAILING' (7 letters):
First 4 letters ('NAIL'):
N → M
A → Z
I → R
L → O
Last 3 letters ('ING'):
I → Opposite is R(18) →18−2=16→ P
N → Opposite is M(13) →13−2=11→ K
G → Opposite is T(20) →20−2=18→ R
Combining them gives: MZROPKR.
O ↔ L (Opposite pair)
F ↔ U (Opposite pair)
F ↔ U (Opposite pair)
C ↔ X (Opposite pair)
U ↔ F (Opposite pair)
T ↔ G → but here it is D? Let's re-examine carefully.
Let's check the positional values:
O(15), F(6), F(6), C(3), U(21), T(20), S(19)
L(12), U(21), U(21), X(24), D(4), E(5), F(6)
Notice that:
O(15) → Opposite is L(12)
F(6) → Opposite is U(21)
F(6) → Opposite is U(21)
C(3) → Opposite is X(24)
U(21) → Opposite is F(6) → wait, the code has D(4)? Let's look at the reverse order or matching from end to beginning.
Let's check the opposite pairs of the word 'OFFCUTS' written in reverse order:
The reverse of 'OFFCUTS' is S, T, U, C, F, F, O.
Opposites of reverse:
S → H
T → G
U → F
C → X
F → U
F → U
O → L
This gives HGFXUUL, which doesn't match LUUXDEF.
Let's look closely at 'OFFCUTS' vs 'LUUXDEF':
O (15) → L (12) [Opposite]
F (6) → U (21) [Opposite]
F (6) → U (21) [Opposite]
C (3) → X (24) [Opposite]
U (21) → D (4) [Opposite of U is F(6), 6−2=4?]
T (20) → E (5) [Opposite of T is G(7), 7−2=5?]
S (19) → F (6) [Opposite of S is H(8), 8−2=6?]
Let's test this "Opposite for first 4, Opposite - 2 for last 3" hypothesis on 'PARADOX' → 'KZIZUJA':
P (16) → K (11) [Opposite]
A (1) → Z (26) [Opposite]
R (18) → I (9) [Opposite]
A (1) → Z (26) [Opposite]
D (4) → Opposite is W (23). 23−2=21→ U. (Matches!)
O (15) → Opposite is L (12). 12−2=10→ J. (Matches!)
X (24) → Opposite is C (3). 3−2=1→ A. (Matches!)
So the pattern is:
First 4 letters: Pairs of opposite letters.
Remaining letters: Opposite letter position −2.
Applying this to 'NAILING' (7 letters):
First 4 letters ('NAIL'):
N → M
A → Z
I → R
L → O
Last 3 letters ('ING'):
I → Opposite is R(18) →18−2=16→ P
N → Opposite is M(13) →13−2=11→ K
G → Opposite is T(20) →20−2=18→ R
Combining them gives: MZROPKR.