Question

If \textsc{IMAGE and \textsc{FIELD} are coded as \textsc{FHBNJ} and \textsc{EMFJG} respectively, then which option is the most appropriate code for \textsc{BEACH}?}

• A. \textsc{CEADP}
• B. \textsc{IDBFC}
• C. \textsc{JGIBC}
• D. \textsc{IBCEC}

Hint:

In coding–decoding, test simple structural operations first: \emph{reverse}, \emph{shift} ($\pm 1$), or \emph{alternate positions}. Verify the discovered rule on \emph{all} given examples before applying it.

Answer 1

The Correct Option is B

Step 1: Detect the transformation rule from the examples.
Write the words and their codes aligned by position: \[ \begin{array}{c@{\quad:\quad}ccccc} \text{IMAGE} & I & M & A & G & E
\text{Code} & F & H & B & N & J
\end{array} \] Notice that \textsc{IMAGE} reversed is \textsc{EGAMI}; shifting each letter forward by $+1$ (E$\to$F, G$\to$H, A$\to$B, M$\to$N, I$\to$J) yields \textsc{FHBNJ}. Check with \textsc{FIELD}: reversed is \textsc{DLEIF}; shifting $+1$ gives \textsc{EMFJG} – matches perfectly. Step 2: Apply the rule to \textsc{BEACH.}
Reverse: \textsc{HCAE\!B}.
Shift each letter forward by $+1$: H$\to$I,\; C$\to$D,\; A$\to$B,\; E$\to$F,\; B$\to$C.
Thus, code $=$ \textsc{IDBFC}. Step 3: Verify against options.
Only option (B) equals \textsc{IDBFC}; others violate the reverse-then-$+1$ rule. \[ \boxed{\text{\textsc{BEACH} } \Rightarrow \text{ \textsc{IDBFC} (Option B)}} \]