Decode the sign string to digits using the given number→sign coding. Coding: 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$ Given sign string: > $ x ∨ %
Verbal Reasoning
Coding Decoding
Difficulty: Easy
Choose an option
Answer
Correct Answer: 59281
Explanation
Introduction / Context:We are supplied a digit→sign table and asked to invert it: read a sign string and recover the digits. This is straightforward reverse substitution.
Given Data / Assumptions:
- 1→%, 2→x, 3→-, 4→+, 5→>, 6→<, 7→∧, 8→∨, 9→$.
- Sign string (left→right): > $ x ∨ %.
Concept / Approach:Build the inverse map (sign→digit) then decode sequentially.
Step-by-Step Solution:
> → 5$ → 9x → 2∨ → 8% → 1Number: 59281Verification / Alternative check:Re-encode 59281 with the original map to get the given sign string.
Why Other Options Are Wrong:
- Each differs in at least one position (often swapping the middle “2” and “8” or the trailing “1”).
Common Pitfalls:Reading ∨ as V and confusing it with a letter; note it is the logical OR symbol mapped from 8.
Final Answer:59281