Select the correct option that will fill in the blank and complete the series.
dmt,fkv,ihy,mdc,……
- Aryh
- Brzh
- Cqzl
- Drxi
Solution & Step-by-step Explanation
Let's trace the positional values (A=1, B=2, ..., Z=26) for each letter position across the clusters:
First letter of each cluster:
d=4
f=6 (+2)
i=9 (+3)
m=13 (+4)
Next first letter should be 13+5=18⟹r
Second letter of each cluster:
m=13
k=11 (−2)
h=8 (−3)
d=4 (−4)
Next second letter should be 4−5=−1. In a circular alphabet, −1≡26−1=25⟹y
Third letter of each cluster:
t=20
v=22 (+2)
y=25 (+3)
c=3 (+4) (since 25+4=29≡3)
Next third letter should be 3+5=8⟹h
Combining the letters, we get ryh.
First letter of each cluster:
d=4
f=6 (+2)
i=9 (+3)
m=13 (+4)
Next first letter should be 13+5=18⟹r
Second letter of each cluster:
m=13
k=11 (−2)
h=8 (−3)
d=4 (−4)
Next second letter should be 4−5=−1. In a circular alphabet, −1≡26−1=25⟹y
Third letter of each cluster:
t=20
v=22 (+2)
y=25 (+3)
c=3 (+4) (since 25+4=29≡3)
Next third letter should be 3+5=8⟹h
Combining the letters, we get ryh.