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 locker and metal combinations is incorrect?
Correct Answer :
Q - Bronze
Solution :
The correct option containing the incorrect combination is Q - Bronze.
Step-by-Step Explanation:
1. Position of Locker R and Locker T:
Locker R is positioned at an even-numbered level but not level 6, which leaves level 2 or level 4.
Since there are exactly two lockers between Locker R and Locker T, and Locker T is placed below Locker R, Locker R must be at position 4 and Locker T must be at position 1.
2. Position of Locker U:
Locker U is placed immediately above Locker T, placing Locker U at position 2 with Silver.
3. Position of Locker S and Gold:
Locker S is placed at position 6.
The locker containing Gold is placed two levels above Locker R (level 4 + 2 = level 6). Therefore, Locker S (position 6) contains Gold.
4. Positions of Locker P and Locker Q:
Locker P is immediately above Locker R, placing Locker P at position 5 containing Platinum.
Locker Q is immediately below Locker R, placing Locker Q at position 3 containing Copper.
5. Remaining Metals:
Locker R contains Iron (position 4).
Locker T contains Bronze (position 1).
Final Vertical 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 options:
• P - Platinum: Correct combination.
• Q - Bronze: Incorrect combination (Locker Q actually contains Copper, whereas Locker T contains Bronze).
• S - Gold: Correct combination.
• U - Silver: Correct combination.
• R - Iron: Correct combination.
Hence, the incorrect combination is Q - Bronze.
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