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.
CARS : HFWX :: BOAT: GTFY :: FUSE : ?
Correct Answer :
KZXJ
Solution :
The correct answer is KZXJ.
To find the missing letter-cluster, let us analyze the relationship pattern between the letter-clusters in the given pairs based on their positional values in the English alphabet.
Pattern: Each letter in the first cluster is shifted forward by 5 positions (+5) in alphabetical order to get the corresponding letter in the second cluster.
First Pair: CARS : HFWX
C (3) + 5 = 8 → H
A (1) + 5 = 6 → F
R (18) + 5 = 23 → W
S (19) + 5 = 24 → X
So, CARS is written as HFWX.
Second Pair: BOAT : GTFY
B (2) + 5 = 7 → G
O (15) + 5 = 20 → T
A (1) + 5 = 6 → F
T (20) + 5 = 25 → Y
So, BOAT is written as GTFY.
Applying the same pattern to FUSE:
F (6) + 5 = 11 → K
U (21) + 5 = 26 → Z
S (19) + 5 = 24 → X
E (5) + 5 = 10 → J
Therefore, FUSE relates to KZXJ in the same pattern.
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