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.
EMAILS: VILXPB :: JOINED: GBQFRG :: MAKERS : ?
- AVOHHDJ
- BVOHHXJ
- CVOBHDJ
- DVOCHDJ
Solution & Step-by-step Explanation
Let's find the relation between the letter clusters using positional values in reverse/direct alphabet:
EMAILS → VILXPB
Let's check the reverse pairs (opposite letters):
E ↔ V
M ↔ N (here given I? Let's check cross or shift logic)
Let's look at it differently:
E (5) → V (22): Opposite letter of E is V.
M (13) → I (9): 13−4=9 (I)
A (1) → L (12): Let's check cross pattern.
Let's split the 6-letter word into two halves: EMA and ILS.
Reverse of E is V, reverse of M is N, reverse of A is Z.
Let's check opposites:
E → V
M → N
A → Z
I → R
L → O
S → H
Now look at the code VILXPB:
V=Opposite of E
I=Opposite of N−5? Let's find another relation:
Let's try direct differences:
E(5)→V(22)=+17 or −9
M(13)→I(9)=−4
A(1)→L(12)=+11
This doesn't seem uniform.
Let's look at the reverse pairs and offsets:
E↔V (Opposite)
M↔N
−5
I
A↔Z
−2
X
I↔R
−2
P
L↔O
−13
- no.
Let's try reverse letter of each position then shifting:
What if the first letter is opposite? E→V.
Second letter: M→I is −4.
Third letter: A→L is +11.
Fourth letter: I→X is +15.
Fifth letter: L→P is +4.
Sixth letter: S→B is +9.
Let's try reversing the whole word first: SLIAME
S(19)→V(22)=+3
L(12)→I(9)=−3
I(9)→L(12)=+3
A(1)→X(24)=−3 (since 1−3=−2≡24)
M(13)→P(16)=+3
E(5)→B(2)=−3
Wow! The pattern is: Reverse the word, then apply +3,−3,+3,−3,+3,−3.
Let's verify with JOINED → GBQFRG:
Reverse of JOINED = DENIOJ
D+3=4+3=7=G
E−3=5−3=2=B
N+3=14+3=17=Q
I−3=9−3=6=F
O+3=15+3=18=R
J−3=10−3=7=G
The code is exactly GBQFRG.
Now, let's apply this to MAKERS:
Reverse of MAKERS = SREKAM
S+3=19+3=22=V
R−3=18−3=15=O
E+3=5+3=8=H
K−3=11−3=8=H
A+3=1+3=4=D
M−3=13−3=10=J
The resulting code is VOHHDJ.
EMAILS → VILXPB
Let's check the reverse pairs (opposite letters):
E ↔ V
M ↔ N (here given I? Let's check cross or shift logic)
Let's look at it differently:
E (5) → V (22): Opposite letter of E is V.
M (13) → I (9): 13−4=9 (I)
A (1) → L (12): Let's check cross pattern.
Let's split the 6-letter word into two halves: EMA and ILS.
Reverse of E is V, reverse of M is N, reverse of A is Z.
Let's check opposites:
E → V
M → N
A → Z
I → R
L → O
S → H
Now look at the code VILXPB:
V=Opposite of E
I=Opposite of N−5? Let's find another relation:
Let's try direct differences:
E(5)→V(22)=+17 or −9
M(13)→I(9)=−4
A(1)→L(12)=+11
This doesn't seem uniform.
Let's look at the reverse pairs and offsets:
E↔V (Opposite)
M↔N
−5
I
A↔Z
−2
X
I↔R
−2
P
L↔O
−13
- no.
Let's try reverse letter of each position then shifting:
What if the first letter is opposite? E→V.
Second letter: M→I is −4.
Third letter: A→L is +11.
Fourth letter: I→X is +15.
Fifth letter: L→P is +4.
Sixth letter: S→B is +9.
Let's try reversing the whole word first: SLIAME
S(19)→V(22)=+3
L(12)→I(9)=−3
I(9)→L(12)=+3
A(1)→X(24)=−3 (since 1−3=−2≡24)
M(13)→P(16)=+3
E(5)→B(2)=−3
Wow! The pattern is: Reverse the word, then apply +3,−3,+3,−3,+3,−3.
Let's verify with JOINED → GBQFRG:
Reverse of JOINED = DENIOJ
D+3=4+3=7=G
E−3=5−3=2=B
N+3=14+3=17=Q
I−3=9−3=6=F
O+3=15+3=18=R
J−3=10−3=7=G
The code is exactly GBQFRG.
Now, let's apply this to MAKERS:
Reverse of MAKERS = SREKAM
S+3=19+3=22=V
R−3=18−3=15=O
E+3=5+3=8=H
K−3=11−3=8=H
A+3=1+3=4=D
M−3=13−3=10=J
The resulting code is VOHHDJ.