An extract from a vehicle database contains 900 diesel cars and k k\,k petrol cars, where k k\,k is a positive integer.
A sample of 60 cars is taken from the extract, with the number of diesel cars and the number of petrol cars in the same proportions as in the extract, each rounded to the nearest whole number.
The number of diesel cars in the sample is 25.
Find the set of possible values of kkk.
28 exam-style questions on AQA A Level Maths 2.1 K: Statistical sampling, covering 2.1.1 Populations, samples and sampling techniques. Each one has a worked solution and a mark scheme showing where the marks go.