Suppose that car 4 is not the first car to leave and that the sequence at a time between the arrival of the car 7 and car 8 is V, 7, 3, 6, 5. Then which of the following statements MUST be false?
Explanation:
As cars 3 and 5 are still in their positions and car 6 is in between them, it means car 6 would have arrive after car 4 leaves.
Now 4 is not the first to leave, at least one of the cars 1 or 2 left before car 4.
Let us consider the following cases.
Case 1: Both cars 1 and 2 left before car 4. This is not possible since car 6 (compact or SUV) would’ve occupied the first parking slot(s).
Case 2: Only car 1 left before car 4. If car 1 is compact and cars 4 and 6 are SUVs, then car 6 would take place of car 4. Now car 2 will leave and car 7 will arrive. In this case car 7 will take the first parking slot(s), which is not the case. ∴ This case is also not possible.
Case 3: Only car 2 left before car 4. If car 2 is compact and cars 4 and 6 are SUVs, then car 6 would take place of car 4. Now car 7 will arrive and take place of car 2. Finally, car 1 leaves. ∴ This is the only case possible.
⇒ Car 6 is an SUV.
Hence, option (a).
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