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.
In which of the following options is the first container placed exactly midway between the second and third containers?
Correct Answer :
S, T, V
Solution :
The correct option is S, T, V.
We are given 8 containers stacked one above another from position 1 (bottommost) to position 8 (topmost).
Step 1: Determine the fixed positions from bottom to top
• Container U is at the bottommost position: Position 1 = U.
• Container V is at the third position from the bottom: Position 3 = V.
• Container Q is placed immediately below V: Position 2 = Q.
• Exactly 3 containers are kept between V and T. Since V is at position 3, counting 3 containers above (positions 4, 5, and 6) gives Position 7 = T.
• Container P is placed immediately above T: Position 8 = P.
Step 2: Determine the positions of remaining containers
• The number of containers below V (position 3) is 2 (containers Q and U). The number of containers above R must also be 2. Therefore, R must be placed at Position 6.
• Container S is placed immediately below R: Position 5 = S.
• Container W is placed immediately below S: Position 4 = W.
The final arrangement from top (Position 8) to bottom (Position 1) is:
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 3: Evaluate the midway condition
We need to find an option where the first container is placed exactly midway between the second and third containers.
For option S, T, V:
• Second container = T (Position 7)
• Third container = V (Position 3)
The midway position between T and V is:
Position 5 is occupied by container S (the first container). Hence, container S is placed exactly midway between containers T and V.
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