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In a certain code language, "HISTORY" is written as "XQNSRHI". How is "ETHICS" written in that code language?

  1. A
    DSGHBR
  2. B
    RBHGSF
  3. C
    RBHDSG
  4. D
    GSDRBH

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.

Practice this question

Try it yourself before checking the explanation above.

In a certain code language, "HISTORY" is written as "XQNSRHI". How is "ETHICS" written in that code language?
A
DSGHBR
B
RBHGSF
C
RBHDSG
D
GSDRBH

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