Coding Pattern Logic

Analyze the transformation from the original word to the coded word in the examples.

• MOMENTUM is coded as EMOMNTUM.
  • Letters: $M O M E N T U M$
  • Indices: $1 2 3 4 5 6 7 8$
  • Coded: $E M O M N T U M$
  • Observation: The first four letters ($MOME$) are rearranged to $EMOM$. The remaining letters ($NTUM$) are unchanged. The rearrangement $MOME -> EMOM$ corresponds to reversing the order of the first four letters ($1234 -> 4321$).
• EQUATION is coded as AUQETION.
  • Letters: $E Q U A T I O N$
  • Indices: $1 2 3 4 5 6 7 8$
  • Coded: $A U Q E T I O N$
  • Observation: The first four letters ($EQUA$) are rearranged to $AUQE$. The remaining letters ($TION$) are unchanged. This rearrangement $EQUA -> AUQE$ also corresponds to reversing the order of the first four letters ($1234 -> 4321$).

The confirmed pattern is: Reverse the first four letters of the word and keep the rest unchanged.

Applying Pattern to MAGNETIC

The word to be coded is MAGNETIC.

Separate the word into the first four letters and the remaining letters:

• First four letters: $MAGN$
• Remaining letters: $ETIC$

Combine the transformed parts: $NGAM$ + $ETIC$ = $NGAMETIC$.

Thus, 'MAGNETIC' is coded as 'NGAMETIC'.