In a certain code language, the word "REASON" is encoded as TDDQSK. Using the same rule, how is the word PRAYER coded?
Show Hint
- RTBXCT
- RQDWIO
- SSAYDU
- RQDZCU
The Correct Option is B
Solution and Explanation
We are given that "REASON" is encoded as "TDDQSK". Let's analyze the pattern used for encoding: \[ \begin{array}{|c|c|} \hline \text{Letter} & \text{Code Letter} \\ \hline R & T (\text{Shifted +2}) \\ \hline E & D (\text{Shifted -1}) \\ \hline A & D (\text{Shifted +3}) \\ \hline S & Q (\text{Shifted -2}) \\ \hline O & S (\text{Shifted +4}) \\ \hline N & K (\text{Shifted -3}) \\ \hline \end{array} \] The shifting pattern alternates: +2, -1, +3, -2, +4, -3. Now, applying the same rule to "PRAYER": \[ \begin{array}{|c|c|} \hline \text{Letter} & \text{Code Letter} \\ \hline P & R (\text{Shifted +2}) \\ \hline R & Q (\text{Shifted -1}) \\ \hline A & D (\text{Shifted +3}) \\ \hline Y & W (\text{Shifted -2}) \\ \hline E & I (\text{Shifted +4}) \\ \hline R & O (\text{Shifted -3}) \\ \hline \end{array} \] Thus, "PRAYER" is encoded as "RQDWIO", corresponding to option (b).
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