Question Details

Seven Cars P, Q, R, S, T, U and V are parked in a row not necessarily in that order. The cars T and U should be parked next to each other. The cars S and V also should be parked next to each other, whereas P and Q can’t be parked next to each other. Q and S must be parked next to each other. R is parked to the immediate right of V. T is parked to the left of U. Based on the above statements, the only incorrect option given below is

Options

A

There are two cars parked in between Q and V.

B

Q and R are not parked together.

C

V is the only car parked in between S and R.

D

Car P is parked at extreme end.

Show Answer

Correct Answer :

Option A

There are two cars parked in between Q and V.

Solution :

The correct option (which represents the only statement that is incorrect) is: There are two cars parked in between Q and V.


Let us step-by-step analyze the clues provided to determine the exact arrangement of the seven cars (P, Q, R, S, T, U, V) parked in a row from left to right:


1. "The cars S and V also should be parked next to each other" and "R is parked to the immediate right of V":
Since V and S are together, and R is immediately to the right of V, S must be to the left of V. Thus, the order of these three cars is:
S - V - R


2. "Q and S must be parked next to each other":
Since S has V on its right, Q must be placed immediately to the left of S. Adding Q gives:
Q - S - V - R


3. "The cars T and U should be parked next to each other" and "T is parked to the left of U":
This forms the pair:
T - U


4. "P and Q can’t be parked next to each other":
The block (Q - S - V - R) takes up 4 contiguous spots. The pair (T - U) takes up 2 contiguous spots.
Since P cannot be adjacent to Q, P must be placed at the right end, after R, or the block (T - U) must be placed between P and Q.
If (T - U) is placed to the left of Q, we get the block (T - U - Q - S - V - R). Since there are 7 spots total, P must be at the far right: T - U - Q - S - V - R - P.
In this arrangement, P is not next to Q, satisfying all conditions!


So, the full left-to-right order of the seven cars is:
T - U - Q - S - V - R - P


Now let us evaluate each of the options against this arrangement:

Q and R are not parked together: True. Q is at position 3 and R is at position 6 (cars S and V are between them).

V is the only car parked in between S and R: True. The order is S - V - R.

Car P is parked at extreme end: True. P is at the extreme right end.

There are two cars parked in between Q and V: Incorrect! Looking at the order Q - S - V, there is only one car (S) parked between Q and V.


Therefore, the statement "There are two cars parked in between Q and V" is the only incorrect option.

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