Hi! Fuel choices is a really confusing topic, both in that most resources fail to make key distinctions, and that in the study design is a little bit vague, leading to confusion. I know I certainly had to spend a lot of time to figure this all out last year, so hopefully this will help clear things up.
I think it would be helpful if we defined various fuels you've mentioned.
Diesel: Diesel fuel in general is any liquid fuel used in diesel engines, whose fuel ignition takes place, without any spark, as a result of compression of the inlet air mixture and then injection of fuel (Wikipedia). Diesel is indeed an umbrella term that can refer both to petrodiesel (petroleum diesel) and biodiesel. In general, both types of diesel have similar (not identical) emission characteristics, and if the word 'diesel' is mentioned in comparison to petrol, I'd say it's safe to assume it just means diesel in general.
- Petrodiesel: Also known as petroleum diesel, is produced from the fractional distillation of crude oil, resulting in a mixture of carbon compounds generally containing between 8-21 C atoms.
- Biodiesel: Also known as Fatty-acid methyl ester (FAME), biodiesel is produced from plant oils or animal fats which have undergone a transesterification reaction with methanol.
Petroleum: Is a pretty confusing term, because it can it can refer to natural and unrefined crude oil (basically another word for crude oil), but it can
also refer to the products of refined crude oil, such as petrol (which is known as gasoline in other countries such as the U.S). In general, I'd suggest acknowledging petroleum = crude oil.
Petrol: So petrol is essentially a product of fractional distillation of crude oil/petroleum. It can contain alkanes, cycloalkanes and and alkenes from C4-C12, although commonly in VCE questions, petrol is considered to be octane.
LPG: Also mainly derived from crude oil/petroleum, as sophomania mentioned is essentially a (gaseous) mixture of propane and butane.
Honestly, I don't think you really need to know all of this in detail, but it doesn't hurt just in case. Hope this makes some sense