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.
Which of the following statement(s) is/are correct?
I. Locker U is placed at the bottommost position.
II. Locker Q is placed below Locker P.
III. Locker R does not contain Silver.
Correct Answer :
Both II and III
Solution :
Correct Answer: Both II and III
Step-by-Step Explanation:
We are given six lockers (P, Q, R, S, T, U) stacked vertically from position 1 (bottommost) to position 6 (topmost). Let us deduce their positions and contents step-by-step from the given clues:
1. Locker S is placed at position 6 (topmost).
2. Locker R is placed at an even-numbered level, but not at level 6. This leaves positions 2 and 4 as options for Locker R.
3. Exactly two lockers are placed between Locker R and Locker T, with Locker T located below Locker R. If Locker R were at position 2, Locker T would be at an invalid position below 1. Therefore, Locker R must be at position 4, and Locker T must be at position 1 (bottommost).
4. Locker U is placed immediately above Locker T (position 1), so Locker U is at position 2.
5. Locker Q is placed immediately below Locker R (position 4), so Locker Q is at position 3.
6. Locker P is placed immediately above Locker R (position 4), so Locker P is at position 5.
Now, assigning the metals to each locker:
- Position 1: Locker T contains Bronze.
- Position 2: Locker U contains Silver.
- Position 3: Locker Q contains Copper.
- Position 4: Locker R contains Iron.
- Position 5: Locker P contains Platinum.
- Position 6: Locker S is two levels above Locker R, and contains Gold.
Summary of Arrangement (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)
Evaluating the given statements:
- Statement I: Locker U is placed at the bottommost position.
This is incorrect. Locker T is at position 1 (bottommost), while Locker U is at position 2.
- Statement II: Locker Q is placed below Locker P.
This is correct. Locker Q is at position 3, which is below Locker P at position 5.
- Statement III: Locker R does not contain Silver.
This is correct. Locker R contains Iron, while Locker U contains Silver.
Hence, statements II and III are correct.
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