In a certain code language, the word EXAMPLES is written as EMAXSEPL. This code is formed by rearranging letters in a fixed positional pattern. Using the same rearrangement rule, how will the word BUOYANCY be written in that code language?

Introduction / Context:This problem tests letter rearrangement coding-decoding. The letters are not shifted in the alphabet; instead, they are moved to different positions to form the coded output. The example EXAMPLES → EMAXSEPL reveals a consistent positional permutation that must be applied to BUOYANCY.

Given Data / Assumptions:

• EXAMPLES is coded as EMAXSEPL.
• Both words have 8 letters.
• The coding rule is a fixed rearrangement of positions (a permutation).
• Apply the same position pattern to BUOYANCY.

Concept / Approach:Label letters of EXAMPLES by position 1 to 8, and then map which original positions appear in the coded word. Once the position order is discovered, apply that same order to BUOYANCY (also 8 letters).

Step-by-Step Solution: Write EXAMPLES with positions: 1E 2X 3A 4M 5P 6L 7E 8S Coded word: E M A X S E P L Match each coded letter to its original position: E comes from position 1 M comes from position 4 A comes from position 3 X comes from position 2 S comes from position 8 E comes from position 7 P comes from position 5 L comes from position 6 So the position order is: 1,4,3,2,8,7,5,6. Now write BUOYANCY with positions: 1B 2U 3O 4Y 5A 6N 7C 8Y Apply order 1,4,3,2,8,7,5,6: B, Y, O, U, Y, C, A, N → BYOUYCAN

Verification / Alternative check:The same 8-position permutation derived from EXAMPLES must be used unchanged. Applying it cleanly to BUOYANCY yields BYOUYCAN, confirming a consistent positional code rather than any alphabet shift.

Why Other Options Are Wrong: CYOUYBAN: begins with C (position 7) instead of position 1. CUYOYBAN: scrambles positions and drops the discovered order. YBANCYOU: resembles a rotation/reversal, not the exact permutation. CUOYYBAN: repeats Y incorrectly and misorders letters.

Common Pitfalls:Assuming a reverse, assuming swapping adjacent letters only, or guessing without deriving the exact position order from the example are common errors.

Final Answer:BYOUYCAN