In a certain code language, 'THORP' is written as 'IUNKM' and 'SERIES' is written as 'JXKTXJ'. How will 'TRACE' be written in that language?
- AXBZKI
- BIKXBZ
- CIKBZX
- DIKBXZ
Solution & Step-by-step Explanation
Let us check the letters in reverse order or cross patterns.
For THORP → IUNKM:
Let's reverse the letters of THORP → P R O H T.
Now match it to the code I U N K M:
P(16)−7=I(9)
R(18)+3=U(21)
O(15)−1=N(14)
H(8)+3=K(11)
T(20)−7=M(13)
Let's see if this pattern works for SERIES → JXKTXJ:
Reverse of SERIES → S E I R E S
S(19)−9=J(10)
E(5)+19=X(24)
This pattern doesn't seem to line up simply. Let's try direct substitution or look at the alphabet positions directly.
Let's examine the letters:
T → I
H → U
O → N
R → K
P → M
In SERIES → JXKTXJ:
S → J
E → X
R → K
I → T
E → X
S → J
Notice that 'R' is coded as 'K' in both words!
We need to find the code for TRACE:
T → I
R → K
A → ?
C → ?
E → X (from SERIES)
So the code for TRACE must look like: I K _ _ X
Let's look at the options:
A) XBZKI
B) IKXBZ
C) IKBZX
D) IKBXZ
Only options B, C, and D start with IK.
Among B, C, and D, only option C ends with X (I K B Z X).
Thus, by structural confirmation from direct letter matching, the answer is Option C.
For THORP → IUNKM:
Let's reverse the letters of THORP → P R O H T.
Now match it to the code I U N K M:
P(16)−7=I(9)
R(18)+3=U(21)
O(15)−1=N(14)
H(8)+3=K(11)
T(20)−7=M(13)
Let's see if this pattern works for SERIES → JXKTXJ:
Reverse of SERIES → S E I R E S
S(19)−9=J(10)
E(5)+19=X(24)
This pattern doesn't seem to line up simply. Let's try direct substitution or look at the alphabet positions directly.
Let's examine the letters:
T → I
H → U
O → N
R → K
P → M
In SERIES → JXKTXJ:
S → J
E → X
R → K
I → T
E → X
S → J
Notice that 'R' is coded as 'K' in both words!
We need to find the code for TRACE:
T → I
R → K
A → ?
C → ?
E → X (from SERIES)
So the code for TRACE must look like: I K _ _ X
Let's look at the options:
A) XBZKI
B) IKXBZ
C) IKBZX
D) IKBXZ
Only options B, C, and D start with IK.
Among B, C, and D, only option C ends with X (I K B Z X).
Thus, by structural confirmation from direct letter matching, the answer is Option C.