Question Details

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

Six lockers—P, Q, R, S, T, and U—are stacked vertically one above another from position 1 (bottommost) to position 6 (topmost). Each locker contains a distinct metal: Bronze, Copper, Gold, Iron, Platinum, or Silver, but not necessarily in that order.

Locker R is positioned at an even-numbered level, but not at level 6. Exactly two lockers are placed between Locker R and Locker T, with Locker T located below Locker R. Locker U is placed immediately above Locker T and contains Silver. Locker S is placed at position 6, and the locker containing Gold is placed two levels above Locker R. Locker P is placed immediately above Locker R and contains Platinum. Locker Q is placed immediately below Locker R and contains Copper. Locker R contains Iron, while Locker T contains Bronze.

The number of lockers placed above Locker P is equal to the number of lockers placed below ____.

Options

A

The locker containing Gold

B

The locker containing Bronze

C

Locker Q

D

Locker T

E

Locker U

Show Answer

Correct Answer :

Option E

Locker U

Solution :

The correct option is Locker U.

Step-by-Step Explanation:

Let us determine the arrangement of the six lockers from position 1 (bottommost) to position 6 (topmost) step-by-step based on the given conditions:
1. Locker S: It is placed at position 6 (topmost).
2. Locker R and Locker T: Locker R is positioned at an even level (level 2 or 4), but not level 6. Locker T is placed below Locker R with exactly two lockers between them. If R were at position 2, T could not be placed below it. Therefore, Locker R must be at position 4, and Locker T must be at position 1.
3. Locker U: Placed immediately above Locker T (position 1), so Locker U is at position 2 and contains Silver.
4. Locker P: Placed immediately above Locker R (position 4), so Locker P is at position 5 and contains Platinum.
5. Locker Q: Placed immediately below Locker R (position 4), so Locker Q is at position 3 and contains Copper.
6. Metals: Locker R contains Iron, Locker T contains Bronze, and the locker containing Gold is two levels above Locker R (position 4 + 2 = 6, which is Locker S).

Complete Vertical Stack (Top to Bottom):
Position 6: Locker S (Gold)
Position 5: Locker P (Platinum)
Position 4: Locker R (Iron)
Position 3: Locker Q (Copper)
Position 2: Locker U (Silver)
Position 1: Locker T (Bronze)

Conclusion:
Locker P is at position 5, so there is 1 locker (Locker S) placed above Locker P.
Looking at Locker U (position 2), there is also 1 locker (Locker T) placed below Locker U.

Therefore, the number of lockers placed above Locker P is equal to the number of lockers placed below Locker U.

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