In a certain code language, "REGAL" is written as "TCIYN". How is "FARMS" written in that code language?
- ARTHKU
- BHYTKU
- CGTHSR
- DNVKTH
Solution & Step-by-step Explanation
Let's analyze the logic used to code "REGAL" into "TCIYN":
R(18)
+2
T(20)
E(5)
−2
C(3)
G(7)
+2
I(9)
A(1)
−2
Y(25 since 1−2=−1≡25)
L(12)
+2
N(14)
The pattern is alternating addition and subtraction: +2,−2,+2,−2,+2.
Applying this same logic to "FARMS":
F(6)
+2
H(8)
A(1)
−2
Y(25)
R(18)
+2
T(20)
M(13)
−2
K(11)
S(19)
+2
U(21)
Thus, "FARMS" is written as HYTKU.
R(18)
+2
T(20)
E(5)
−2
C(3)
G(7)
+2
I(9)
A(1)
−2
Y(25 since 1−2=−1≡25)
L(12)
+2
N(14)
The pattern is alternating addition and subtraction: +2,−2,+2,−2,+2.
Applying this same logic to "FARMS":
F(6)
+2
H(8)
A(1)
−2
Y(25)
R(18)
+2
T(20)
M(13)
−2
K(11)
S(19)
+2
U(21)
Thus, "FARMS" is written as HYTKU.