In a certain code language, 'ABUNDANT' is written as 'ACWQGCOT', and 'RELIABLE' is written as 'RFNLDDME'. How will 'MERCIFUL' be written in that language?
- AMHTDLHVL
- BMFTFLHVL
- CMFTFJHXL
- DMHTDJHXL
Solution & Step-by-step Explanation
Let's study the positional modifications from the original word to the code word:
For ABUNDANT→ACWQGCOT:
A→A (+0)
B→C (+1)
U→W (+2)
N→Q (+3)
D→G (+4)
A→C (+2?) Let's recheck this shift pattern:
Let's check the letters index by index:
1st:A→A(+0)
2nd:B→C(+1)
3rd:U→W(+2)
4th:N→Q(+3)
5th:D→G(+3)
6th:A→C(+2)
7th:N→O(+1)
8th:T→T(+0)
Wow, the increments follow a symmetric mountain peak pattern: +0,+1,+2,+3,+3,+2,+1,+0.
Let's verify this pattern on RELIABLE (RFNLDDME):
R+0=R
E+1=F
L+2=N
I+3=L
A+3=D
B+2=D
L+1=M
E+0=E
The pattern matches exactly.
Now, let's apply this symmetric shifting to MERCIFUL:
M+0=M
E+1=F
R+2=T
C+3=F
I+3=L
F+2=H
U+1=V
L+0=L
The resulting code is MFTFLHVL.
For ABUNDANT→ACWQGCOT:
A→A (+0)
B→C (+1)
U→W (+2)
N→Q (+3)
D→G (+4)
A→C (+2?) Let's recheck this shift pattern:
Let's check the letters index by index:
1st:A→A(+0)
2nd:B→C(+1)
3rd:U→W(+2)
4th:N→Q(+3)
5th:D→G(+3)
6th:A→C(+2)
7th:N→O(+1)
8th:T→T(+0)
Wow, the increments follow a symmetric mountain peak pattern: +0,+1,+2,+3,+3,+2,+1,+0.
Let's verify this pattern on RELIABLE (RFNLDDME):
R+0=R
E+1=F
L+2=N
I+3=L
A+3=D
B+2=D
L+1=M
E+0=E
The pattern matches exactly.
Now, let's apply this symmetric shifting to MERCIFUL:
M+0=M
E+1=F
R+2=T
C+3=F
I+3=L
F+2=H
U+1=V
L+0=L
The resulting code is MFTFLHVL.