Question says which would least likely have a negative impact on determining eligibility for a home loan.
LEAST likely means we have to select the option which will least affect .
So option 1 says increasing a credit card limit , although it has an impact but not that much , So for now let's check other options.
Option 2 says losing money in investments. Losing money will have a larger impact on loan approval .
Option 3 says making late car payments, Again , late car payments will have a larger impact on loan approval.
Option 4 says taking a new job with higher pay. Now here new job is giving higher pay , and this will obviously help in loan approval , and determining its eligibility.
So the answer is Option -4