If SHARP is coded as 58034 and PUSH as 4658 then RUSH is coded as-

Concept: In letter-to-number coding puzzles, each letter is assigned a fixed digit based on the pattern in the given coded words. Once the letter-to-digit key is established from the sample words, the same key applies unchanged to any new word formed from those letters.

1. Write the letters of SHARP against its code, one digit per letter: S-H-A-R-P → 5-8-0-3-4.

2. Write the letters of PUSH against its code, one digit per letter: P-U-S-H → 4-6-5-8.

3. Compare the letters common to both words — S, H, and P — the digits they get in SHARP (S=5, H=8, P=4) match the digits they get in PUSH (P=4, S=5, H=8), confirming the key and revealing the digit for U as 6.

4. Collect the complete key: S=5, H=8, A=0, R=3, P=4, U=6.

5. Apply the key to RUSH letter by letter: R=3, U=6, S=5, H=8.

Cross-check: reading the digits in the order R-U-S-H gives 3-6-5-8, matching only one of the given options.

Hence, RUSH is coded as 3658.