If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

To determine the coding pattern, let us analyze the transformation from the given words to their codes:

1. For IMAGE $\rightarrow$ FHBNJ:

   • Reverse the letters of $\text{IMAGE}$: $\text{E, G, A, M, I}$

   • Shift each reversed letter forward by $+1$ in alphabetical order:

     • $\text{E} + 1 = \text{F}$

     • $\text{G} + 1 = \text{H}$

     • $\text{A} + 1 = \text{B}$

     • $\text{M} + 1 = \text{N}$

     • $\text{I} + 1 = \text{J}$

   • Result: FHBNJ

2. For FIELD $\rightarrow$ EMFJG:

   • Reverse the letters of $\text{FIELD}$: $\text{D, L, E, I, F}$

   • Shift each reversed letter forward by $+1$:

     • $\text{D} + 1 = \text{E}$

     • $\text{L} + 1 = \text{M}$

     • $\text{E} + 1 = \text{F}$

     • $\text{I} + 1 = \text{J}$

     • $\text{F} + 1 = \text{G}$

   • Result: EMFJG

3. Applying the same rule to BEACH:

   • Reverse the letters of $\text{BEACH}$: $\text{H, C, A, E, B}$

   • Shift each reversed letter forward by $+1$:

     • $\text{H} + 1 = \text{I}$

     • $\text{C} + 1 = \text{D}$

     • $\text{A} + 1 = \text{B}$

     • $\text{E} + 1 = \text{F}$

     • $\text{B} + 1 = \text{C}$

   • Result: IDBFC

Therefore, the correct option is (B).