In a certain code, MATRIX is written as XITRAM. How will FIGURE be written in that code?
In a certain code, MATRIX is written as XITRAM. How will FIGURE be written in that code?
Solution
Examining the pattern in the code:
MATRIX: M - A - T - R - I - X (positions 1, 2, 3, 4, 5, 6)
XITRAM: X - I - T - R - A - M (positions 1, 2, 3, 4, 5, 6)
Mapping the transformation:
Position 1 → Position 6 (M becomes last)
Position 2 → Position 5 (A becomes second-to-last)
Position 3 → Position 4 (T moves one position right)
Position 4 → Position 3 (R moves one position left)
Position 5 → Position 2 (I becomes second)
Position 6 → Position 1 (X becomes first)
The pattern is:
- Reverse the entire word
- Swap the middle two characters (positions 3 and 4)
Verification with MATRIX:
Reverse: MATRIX → XIRTAM
Swap positions 3 and 4: XIRTAM → XITRAM ✓
Applying to FIGURE:
Reverse: FIGURE → ERUGIF
Swap positions 3 and 4: ERUGIF → ERGUIF
Therefore, FIGURE will be written as ERGUIF.
The answer is Option 3: ERGUIF
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