IPMAT Indore 2024 - QA (MCQ) Q30 Explanation

Explanation:

(c) Let, n(FW) – Number of people who owns 4-wheelers,

n(TW) – Number of people who owns 2-wheelers,

n(FW ∪ TW) – Number of people who owns at least one of the vehicles, and

n(FW ∩TW) – Number of people who owns both type of vehicles

Now, the number of people who owns at least one of the vehicles = Total people surveyed – Number of people who owns none

(FW ∪ TW) = 500 – 100 = 400

Using the standard formula in set theory,

n(FW∪ TW) = n(FW) + n(TW) – n(FW ∩TW) 400 = 250 + 100 - n(FW ∩TW)

So, the number of people who owned both are (FW ∩TW) = 50. Ans.