In a certain code language, 'BUTTON' is coded as 'CTVRRK' and 'ACTUAL' is coded as 'BBVSDI'. How will 'STRONG' be coded in the same language?
- ATSTMQD
- BTSSMRD
- CTRTNQE
- DRSTMQD
Solution & Step-by-step Explanation
Let's evaluate the pattern by comparing the letters and their positional shifts:
For BUTTON → CTVRRK:
B(+1)→C
U(−1)→T
T(+2)→V
T(−2)→R
O(+3)→R
N(−3)→K
The shifting pattern is +1,−1,+2,−2,+3,−3.
Let's verify with ACTUAL → BBVSDI:
A(+1)→B
C(−1)→B
T(+2)→V
U(−2)→S
A(+3)→D
L(−3)→I
The pattern is verified. Now apply it to STRONG:
S+1=T
T−1=S
R+2=T
O−2=M
N+3=Q
G−3=D
Thus, the code for STRONG is TSTMQD.
For BUTTON → CTVRRK:
B(+1)→C
U(−1)→T
T(+2)→V
T(−2)→R
O(+3)→R
N(−3)→K
The shifting pattern is +1,−1,+2,−2,+3,−3.
Let's verify with ACTUAL → BBVSDI:
A(+1)→B
C(−1)→B
T(+2)→V
U(−2)→S
A(+3)→D
L(−3)→I
The pattern is verified. Now apply it to STRONG:
S+1=T
T−1=S
R+2=T
O−2=M
N+3=Q
G−3=D
Thus, the code for STRONG is TSTMQD.