Question

If FRAGRANCE is written as HPCETYPAG, how can IMPOSING be written?

• A. KKRMUIPE
• B. KKRMUEPE
• C. KKROUJPE
• D. KKRMUGPE

Answer 1

The Correct Option is D

Concept:
Observe the coding pattern from the given example: \[ \text{FRAGRANCE} \rightarrow \text{HPCETYPAG} \] The word is divided into pairs of letters, and each pair is coded by shifting the letters forward in the alphabet according to a fixed pattern. 

Step 1: Divide FRAGRANCE into pairs.
\[ FR \quad AG \quad RA \quad NC \quad E \] Now compare each pair with the coded form: \[ HP \quad CE \quad TY \quad PA \quad G \] Notice that: \[ F \rightarrow H \quad (+2), \] \[ R \rightarrow P \quad (-2), \] \[ A \rightarrow C \quad (+2), \] \[ G \rightarrow E \quad (-2). \] Similarly, \[ R \rightarrow T \quad (+2), \] \[ A \rightarrow Y \quad (-2). \] Thus, within each pair:

• The first letter is shifted forward by 2 positions.
• The second letter is shifted backward by 2 positions.

Step 2: Apply the same rule to IMPOSING.
Divide into pairs: \[ IM \quad PO \quad SI \quad NG \] Now code each pair: \[ I \rightarrow K,\qquad M \rightarrow K \] giving \[ KK \] \[ P \rightarrow R,\qquad O \rightarrow M \] giving \[ RM \] \[ S \rightarrow U,\qquad I \rightarrow G \] giving \[ UG \] \[ N \rightarrow P,\qquad G \rightarrow E \] giving \[ PE \] 

Step 3: Combine the coded pairs.
\[ KK + RM + UG + PE \] \[ = \boxed{\text{KKRMUGPE}} \] 

Step 4: Match with the options.
\[ \begin{array}{|c|c|} \hline \text{Option} & \text{Code} \\ \hline (A) & KKRMUIPE \\ (B) & KKRMUEPE \\ (C) & KKROUJPE \\ (D) & KKRMUGPE \\ \hline \end{array} \] The correct match is \[ \boxed{\text{KKRMUGPE}}. \] 

Final Answer: \[ \boxed{\text{KKRMUGPE}} \] Hence, the correct option is \[ \boxed{\text{(D)}}. \]