Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
LINK: JGKN :: THAT: RFTA :: GROW: ?
- AEQVP
- BEQXO
- CEPWO
- DFQVO
Solution & Step-by-step Explanation
Let's study the transformation rule for each pair:
First Pair: LINK→JGKN
L(12)
−2
J(10)
I(9)
−2
G(7)
N(14)
−3
K(11)
K(11)
+3
N(14)
Let's check the Second Pair: THAT→RFTA
T(20)
−2
R(18)
H(8)
−2
F(6)
A(1)
−3
X ? Wait, the second code is given as RFTA. Let's re-examine the exact positioning shifts:
T→R (−2)
H→F (−2)
A→T (Let's check another pattern, cross relations or vowels vs consonants):
Let's check alternate mappings:
L→N (+2), K→J (−1)... doesn't align cleanly.
Let's look at alphabetical position adjustments:
L−2=J
I−2=G
N−3=K
K+3=N
Let's test if THAT→RFTA has a similar pattern:
T−2=R
H−2=F
A−2=Y ... but it's written as T and A. Let's observe reverse cross relations:
L→N (+2)
K→J (−1)
I→K (+2)
N→G (−7) -- inconsistent.
Let's look closely at:
L→J (−2)
I→G (−2)
N→K (−3)
K→N (+3)
If THAT→RFTA:
T→R (−2)
H→F (−2)
A→T (+19 or −7)
T→A (+7 or −19)
Let's look at another elegant logic:
1st letter: −2 (L→J, T→R)
2nd letter: −2 (I→G, H→F)
3rd letter: In LINK, N→K (−3). In THAT, A→T is +19≡−7.
Let's look at option values for GROW:
G−2=E
R−2=P
Therefore, the first two letters must be EP. Looking at options, only Option C (EPWO) begins with EP.
Let's verify Option C:
G−2=E
R−2=P
O→W (+8)
W→O (−8)
This perfectly aligns with a structure of −2,−2 for the first two letters.
First Pair: LINK→JGKN
L(12)
−2
J(10)
I(9)
−2
G(7)
N(14)
−3
K(11)
K(11)
+3
N(14)
Let's check the Second Pair: THAT→RFTA
T(20)
−2
R(18)
H(8)
−2
F(6)
A(1)
−3
X ? Wait, the second code is given as RFTA. Let's re-examine the exact positioning shifts:
T→R (−2)
H→F (−2)
A→T (Let's check another pattern, cross relations or vowels vs consonants):
Let's check alternate mappings:
L→N (+2), K→J (−1)... doesn't align cleanly.
Let's look at alphabetical position adjustments:
L−2=J
I−2=G
N−3=K
K+3=N
Let's test if THAT→RFTA has a similar pattern:
T−2=R
H−2=F
A−2=Y ... but it's written as T and A. Let's observe reverse cross relations:
L→N (+2)
K→J (−1)
I→K (+2)
N→G (−7) -- inconsistent.
Let's look closely at:
L→J (−2)
I→G (−2)
N→K (−3)
K→N (+3)
If THAT→RFTA:
T→R (−2)
H→F (−2)
A→T (+19 or −7)
T→A (+7 or −19)
Let's look at another elegant logic:
1st letter: −2 (L→J, T→R)
2nd letter: −2 (I→G, H→F)
3rd letter: In LINK, N→K (−3). In THAT, A→T is +19≡−7.
Let's look at option values for GROW:
G−2=E
R−2=P
Therefore, the first two letters must be EP. Looking at options, only Option C (EPWO) begins with EP.
Let's verify Option C:
G−2=E
R−2=P
O→W (+8)
W→O (−8)
This perfectly aligns with a structure of −2,−2 for the first two letters.