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.
If all the lockers are rearranged in alphabetical order from top to bottom, which locker will occupy the position containing Silver?
Correct Answer :
Locker T
Solution :
The correct answer is Locker T.
Step-by-Step Explanation:
Step 1: Determine the initial arrangement of lockers from position 1 (bottommost) to position 6 (topmost).
1. Locker S is placed at position 6 (topmost).
2. Locker R is placed at an even-numbered position, but not position 6. So Locker R can be at position 2 or position 4.
3. Exactly two lockers are placed between Locker R and Locker T, with Locker T below Locker R. If Locker R were at position 2, Locker T would have to be below level 1, which is not possible. Therefore, Locker R must be at position 4. This places Locker T at position 1.
4. Locker U is immediately above Locker T (position 1), so Locker U is at position 2 and contains Silver.
5. Locker P is placed immediately above Locker R (position 4), so Locker P is at position 5 and contains Platinum.
6. Locker Q is placed immediately below Locker R (position 4), so Locker Q is at position 3 and contains Copper.
7. Locker R contains Iron, Locker T contains Bronze, and Locker S contains Gold (two levels above Locker R, at position 6).
Thus, the initial arrangement from top (position 6) to bottom (position 1) with their respective metals is:
• 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)
Step 2: Rearrange lockers in alphabetical order from top to bottom.
The alphabetical order of the lockers (P, Q, R, S, T, U) placed from position 6 to position 1 is:
• Position 6 (Topmost): Locker P
• Position 5: Locker Q
• Position 4: Locker R
• Position 3: Locker S
• Position 2: Locker T
• Position 1 (Bottommost): Locker U
Step 3: Identify the locker at the position containing Silver.
The position containing Silver is Position 2.
After rearranging in alphabetical order from top to bottom, Position 2 is occupied by Locker T.
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