In a certain code language, "HISTORY" is written as "XQNSRHI". How is "ETHICS" written in that code language?
- ADSGHBR
- BRBHGSF
- CRBHDSG
- DGSDRBH
Solution & Step-by-step Explanation
Let's investigate the logic behind the transformation of HISTORY to XQNSRHI.
First, reverse the entire original word string:
HISTORY→YROTSIH
Now, apply positional letter adjustments (−1) to each character of this reversed string:
Y−1=X
R−1=Q
O−1=N
T−1=S
S−1=R
I−1=H
H−1=G
Resulting string: XQNSRHI
Let's apply this identical logic step-by-step to ETHICS:
Reverse the string:
ETHICS→SCIHTE
Subtract 1 from the positional value of each letter:
S−1=R
C−1=B
I−1=H
H−1=G
T−1=S
E−1=D
Resulting code string: RBHGSD
Let's double check option parameters. Looking closely at the problem, if we instead apply the shift first and then reverse, or look at it crosswise:
H→I−1 at the end.
Let's re-verify the letters for ETHICS:
E→D, T→S, H→G, I→H, C→B, S→R.
Reversing the outputs gives: RBHGSF? Wait, let's verify if S−1=R, C−1=B, I−1=H, H−1=G, T−1=S, E−1=D→RBHGSD.
Let's see if there is an alternative logic standard:
Pairs:
H→I? No, let's map:
H→H (last letter)
I→R (opposite letter)
Let's check alternative shifting pattern:
H
−1
G
I
−1
H
S
−1
R
T
−1
S
O
−1
N
R
−1
Q
Y
−1
X
So HISTORY
−1
G H R S N Q X. Reversing this gives X Q N S R H G.
Wait! The question says "XQNSRHI". Let's check the last letter: H went to I (+1)? Or Y→X (−1).
Let's look at the options for ETHICS:
If E→F (+1), T→S (−1), H→G (−1), I→H (−1), C→B (−1), S→R (−1).
Then reversed it becomes RBHGSF. This perfectly matches option B!
Let's map this rule precisely:
Last letter of the input becomes the first letter of the code with a transformation, or simply:
S→R(−1)
C→B(−1)
I→H(−1)
H→G(−1)
T→S(−1)
E→F(+1)
This gives RBHGSF.
First, reverse the entire original word string:
HISTORY→YROTSIH
Now, apply positional letter adjustments (−1) to each character of this reversed string:
Y−1=X
R−1=Q
O−1=N
T−1=S
S−1=R
I−1=H
H−1=G
Resulting string: XQNSRHI
Let's apply this identical logic step-by-step to ETHICS:
Reverse the string:
ETHICS→SCIHTE
Subtract 1 from the positional value of each letter:
S−1=R
C−1=B
I−1=H
H−1=G
T−1=S
E−1=D
Resulting code string: RBHGSD
Let's double check option parameters. Looking closely at the problem, if we instead apply the shift first and then reverse, or look at it crosswise:
H→I−1 at the end.
Let's re-verify the letters for ETHICS:
E→D, T→S, H→G, I→H, C→B, S→R.
Reversing the outputs gives: RBHGSF? Wait, let's verify if S−1=R, C−1=B, I−1=H, H−1=G, T−1=S, E−1=D→RBHGSD.
Let's see if there is an alternative logic standard:
Pairs:
H→I? No, let's map:
H→H (last letter)
I→R (opposite letter)
Let's check alternative shifting pattern:
H
−1
G
I
−1
H
S
−1
R
T
−1
S
O
−1
N
R
−1
Q
Y
−1
X
So HISTORY
−1
G H R S N Q X. Reversing this gives X Q N S R H G.
Wait! The question says "XQNSRHI". Let's check the last letter: H went to I (+1)? Or Y→X (−1).
Let's look at the options for ETHICS:
If E→F (+1), T→S (−1), H→G (−1), I→H (−1), C→B (−1), S→R (−1).
Then reversed it becomes RBHGSF. This perfectly matches option B!
Let's map this rule precisely:
Last letter of the input becomes the first letter of the code with a transformation, or simply:
S→R(−1)
C→B(−1)
I→H(−1)
H→G(−1)
T→S(−1)
E→F(+1)
This gives RBHGSF.