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.
The number of containers placed between P and S is _____ than the number of containers placed between R and Q.
Correct Answer :
One less
Solution :
The correct option is One less.
Step 1: Determine the arrangement of the eight containers from top to bottom (Positions 8 to 1).
1. Position of U: Container U is placed at the bottommost position.
2. Position of V: Container V is placed at the third position from the bottom.
3. Position of Q: Container Q is placed immediately below V.
4. Position of T: Exactly three containers are kept between V (Position 3) and T.
Counting three positions above V (Positions 4, 5, and 6), T must be placed at Position 7.
5. Position of P: Container P is placed immediately above T.
6. Position of R: The number of containers kept below V (Positions 1 and 2, which is 2 containers) is equal to the number of containers kept above R.
Since there must be 2 containers above R, R must be placed at Position 6.
7. Position of S: Container S is placed immediately below R.
8. Position of W: Container W is placed immediately below S.
Final Stack Order (Top to Bottom):
Position 8: P
Position 7: T
Position 6: R
Position 5: S
Position 4: W
Position 3: V
Position 2: Q
Position 1: U
Step 2: Calculate the required count.
• Containers placed between P (Position 8) and S (Position 5): T and R (total = 2 containers).
• Containers placed between R (Position 6) and Q (Position 2): S, W, and V (total = 3 containers).
Comparing the two values:
Therefore, the number of containers placed between P and S is One less than the number of containers placed between R and Q.
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