Question

Initially cars numbered 1, 2, 3, and 4 arrive among which 1 and 4 are SUVs while 2 and 3 are compact cars. Car 1 then leaves, followed by the arrivals of car 5 (a compact car) and car 6 (an SUV). Car 4 then leaves. Then car 7 (an SUV) and car 8 (a compact car) arrive. At this moment, which among the following numbered car is parked next to car 3?

• A. 8
• B. 6
• C. 5
• D. 7
• A. V, 2, 3, 7, 5, 6, 8
• B. 8, 2, 3, V, 5, 6, 7
• C. 8, 2, 3, V, 6, 5, 7
• D. 8, 2, 3, V, 5, 7, 6
• A. Car 5 is a compact.
• B. Car 4 is a compact.
• C. Car 3 is an SUV.
• D. Car 1 is an SUV.
• A. Car 7 is a compact.
• B. Car 4 is an SUV.
• C. Car 6 is a compact.
• D. Car 2 is a compact.

Answer 1

The Correct Option is D

The correct answer is (D): The parking slots will be numbered as follows.
The cars that are parked next to car 3 are car 2 and car 7.

Answer 2

This table represents the order of arrival and departure of cars :-

	1(SUV)	2	3	4(SUV)
Car 1 leaves	V        V	2	3	4(SUV)
Car 5 leaves	5        V	2	3	4(SUV)
Car 6 (SUV) Arrives	5        V	2	3	4(SUV)	6(SUV)
Car 4 leaves	5        V	2	3	V       V	6(SUV)
Car 7 (SUV) Arrives	5        V	2	3	7(SUV)	6(SUV)
Car 8 Arrives	5        8	2	3	7(SUV)	6(SUV)

Therefore, car 2 and car 7 are parked next to car 3.

Answer 3

The correct answer is (B): When cars 5 and 6 are present, car 7 cannot take a place between them. 
So , 5,7,6 is not possible.
8,2,3, V, 5,6,7 is possible in the following sequence of arrival of cars.

I. Cars 1,2,3,4,5,6 and 7 arrive one after the other.
II. Car 1 leaves
III. Car 8 arrives and is parked in the slot vacated by car 1
IV. Car 4 leaves.
V. 2,3,7,5,6,8 is not possible as car 7 (SUV) cannot be parked in place of car 4 (compact) while cars 3 and 5 are still parked. 8, 2, 3, V, 6,5,7 is not possible as car 6 cannot be between a vacant slot and to the left of car 5 for the following reasons.

If no slot is vacant when car 6 is arrived, it would have been parked to the right of car 5.
If car 4 (compact) left by the time car 6 arrives it would either be parked in the slot vacated by car 4 or to the right of car 5.

Answer 4

Option B is the Correct option.
Here,
Order of cars is 8,2,3,V,5,6,7. This sequence is more feasible.
Let's say cars 1,2,3,4,5,6,7 arrive one after the another.
Now Car 1 leaves and Car 8 takes that place.
Finally Car 4 leaves.

Answer 5

The correct answer is (C):
From the given arrangement it can be understood that cars 1, 2 and 3 arrived first and then cars 1 and 2 left before cars 4, 5 and 6 arrived. Now, there are four slots to the left of car 3. Hence, cars 1 and 2 are SUVs. Since three out of four slots are occupied by cars 4, 5 and 6, all these are compact cars. Whether car 3 is a compact car or an SUV, the given arrangement is possible.

Answer 6

The given sequence according to the question is 4,5,6,V,3
This is possible when cars 1,2,3 arrived and then cars 1 and 2 leave. After that cars 4,5 and 6 arrive.

There are now 4 positions to the left of car 3. Only when cars 1 and 2 were SUVs. Now out of these 4  slots,  4,5 and 6 occupy three of these four spots. As a result these are compact cars. Car 3 can be a SUV or a Compact car.
Hence, The correct answer is (C): Car 3 is an SUV.

Answer 7

The correct answer is (C):

As cars 3 and 5 are still in their positions and that car 4 is not the first car to leave, at least one of cars 1 and 2 left before car 4. Let us consider the following cases. 

Both cars 1 and 2 left before car 4: In this case car 6, whether it is a compact car or an SUV, would have been parked in the parking lots vacated by cars 1 and 2. Hence, this case is not possible. 

Only car 1 left before car 4: As car 6 is parked in the lot vacated by car 4, car 7 would have been parked in place of car 1. But the slot vacated by car 1 is still vacant. Hence, this case is not possible.

Only 2 left before car 4: If the car 2 is an SUV, car 6 would have been parked in that lot. 
Hence, cars 2 and 7 are compact cars. Car 1 left after car 7 arrived. 

Answer 8

"Clearly the cars that have left are: 1,2 and 4.
Given that the arrangement is …3, 6, 5 AND the fact that 4 was not the 1st car to leave. This means that there was vacant space before 4 left and 6 could not occupy it. So the 1st car that left must have been a compact and 6 must have been an SUV"
The Correct answer is option (C): Car 6 is a compact.