Question Details

Directions: Study the following information carefully and answer the question given below.

Eight containers – P, Q, R, S, T, U, V, and W – are stacked one above another in a single pile, but not necessarily in the given order.

Container V is placed at the third position from the bottom. Exactly three containers are kept between V and T. Container P is placed immediately above T. The number of containers kept above R is equal to the number of containers kept below V. Container S is placed immediately below R. Container U is placed at the bottommost position. Container Q is placed immediately below V. Container W is placed immediately below S.

If all the containers are arranged in reverse alphabetical order from top to bottom, how many containers will remain in their original positions?

Options

A

None

B

More than three

C

One

D

Two

E

Three

Show Answer

Correct Answer :

Option C

One

Solution :

The correct option is One.

Step 1: Determine the original stack arrangement from top to bottom (Positions 8 to 1).
Let us number the positions from 1 (bottommost) to 8 (topmost):

1. Container V is placed at the third position from the bottom: Position 3 = V.
2. Container U is placed at the bottommost position: Position 1 = U.
3. Container Q is placed immediately below V: Position 2 = Q.
4. Container T: Exactly three containers are kept between V (Position 3) and T. Therefore, T must be at Position 7.
5. Container P is placed immediately above T: Position 8 = P.
6. Container R: The number of containers below V (Position 3) is 2 (containers at positions 1 and 2). Thus, there must be 2 containers above R, which places R at Position 6.
7. Container S is placed immediately below R (Position 6): Position 5 = S.
8. Container W is placed immediately below S (Position 5): Position 4 = W.

Original arrangement from Top to Bottom:
Position 8 (Top): P
Position 7: T
Position 6: R
Position 5: S
Position 4: W
Position 3: V
Position 2: Q
Position 1 (Bottom): U

Step 2: Rearrange all containers in reverse alphabetical order from top to bottom.
The reverse alphabetical order of the containers (P, Q, R, S, T, U, V, W) from top to bottom is: W, V, U, T, S, R, Q, P.

Now, let us compare the original positions with the new reverse alphabetical positions (from Top to Bottom):

• Position 8 (Top): Original = P, New = W (Changed)
• Position 7: Original = T, New = V (Changed)
• Position 6: Original = R, New = U (Changed)
• Position 5: Original = S, New = T (Changed)
• Position 4: Original = W, New = S (Changed)
• Position 3: Original = V, New = R (Changed)
• Position 2: Original = Q, New = Q (Unchanged)
• Position 1 (Bottom): Original = U, New = P (Changed)

Conclusion:
Only container Q remains in its original position. Hence, exactly One container remains unchanged.

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