(from: https://www2.gov.bc.ca/gov/content/gove ... exemptions)The following assets are exempt for the purposes of determining the assets of an applicant or recipient, for income assistance or disability assistance [see Related Links - Eligibility for Hardship Assistance for recipients of hardship assistance]:
clothing and necessary household equipment
one motor vehicle where the equity does not exceed $10,000 and the vehicle is generally used for day-to-day transportation needs
Note: There is no limit on the value of a vehicle owned by recipients with the Persons with Disabilities designation.
That being said, considering how much persons on various forms of social assistance receive, keeping gas in a vehicle and performing basic maintenance is beyond their means so it's a moot point anyways.