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.
DIALOGUE: HMEPKCQA :: HOSPITAL: LSWTEPWH :: CHAMBERS : ?
- AGLEPXANO
- BGLEQWAON
- CGLEQXZNO
- DGLEQXANO
Solution & Step-by-step Explanation
Let's investigate the relationship pattern between the letters of the pairs using positional numbers:
Pair 1: DIALOGUE → HMEPKCQA
D(4)→H(8)⇒+4
I(9)→M(13)⇒+4
A(1)→E(5)⇒+4
L(12)→P(16)⇒+4
O(15)→K(11)⇒−4
G(7)→C(3)⇒−4
U(21)→Q(17)⇒−4
E(5)→A(1)⇒−4
The pattern for an 8-letter word is: +4,+4,+4,+4,−4,−4,−4,−4.
Let's double-check with Pair 2: HOSPITAL → LSWTEPWH
H(8)+4=L(12)
O(15)+4=S(19)
S(19)+4=W(23)
P(16)+4=T(20)
I(9)−4=E(5)
T(20)−4=P(16)
A(1)−4=W(23) (since 1−4=−3≡23)
L(12)−4=H(8)
The rule holds completely true. Now let's apply this pattern to CHAMBERS:
C(3)+4=G(7)
H(8)+4=L(12)
A(1)+4=E(5)
M(13)+4=Q(17)
B(2)−4=X(24) (since 2−4=−2≡24)
H(8)→Wait, the word is CHAMBERS, the 6th letter is E(5). E(5)−4=A(1)
R(18)−4=N(14)
S(19)−4=O(15)
Combining these letters: G L E Q X A N O.
This matches Option D perfectly.
Pair 1: DIALOGUE → HMEPKCQA
D(4)→H(8)⇒+4
I(9)→M(13)⇒+4
A(1)→E(5)⇒+4
L(12)→P(16)⇒+4
O(15)→K(11)⇒−4
G(7)→C(3)⇒−4
U(21)→Q(17)⇒−4
E(5)→A(1)⇒−4
The pattern for an 8-letter word is: +4,+4,+4,+4,−4,−4,−4,−4.
Let's double-check with Pair 2: HOSPITAL → LSWTEPWH
H(8)+4=L(12)
O(15)+4=S(19)
S(19)+4=W(23)
P(16)+4=T(20)
I(9)−4=E(5)
T(20)−4=P(16)
A(1)−4=W(23) (since 1−4=−3≡23)
L(12)−4=H(8)
The rule holds completely true. Now let's apply this pattern to CHAMBERS:
C(3)+4=G(7)
H(8)+4=L(12)
A(1)+4=E(5)
M(13)+4=Q(17)
B(2)−4=X(24) (since 2−4=−2≡24)
H(8)→Wait, the word is CHAMBERS, the 6th letter is E(5). E(5)−4=A(1)
R(18)−4=N(14)
S(19)−4=O(15)
Combining these letters: G L E Q X A N O.
This matches Option D perfectly.