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.

How many lockers are placed below the locker containing Platinum?

Options

A

Three

B

Five

C

Four

D

None

E

One

Show Answer

Correct Answer :

Option C

Four

Solution :

The correct answer is Four.

Step-by-step Explanation:

We are given six lockers stacked vertically from position 1 (bottommost) to position 6 (topmost). Let's determine the position and metal content of each locker step-by-step using the provided clues:

Step 1: Determine the positions of Locker R and Locker T
- Locker R is positioned at an even-numbered level, but not at level 6. Therefore, Locker R must be at level 4 or level 2.
- Exactly two lockers are placed between Locker R and Locker T, with Locker T located below Locker R.
- If Locker R is at position 4, Locker T must be at position 1 (positions 3 and 2 are between them).
- If Locker R were at position 2, Locker T would have to be placed below position 1, which is impossible.
- Thus, Locker R is at position 4 and Locker T is at position 1.

Step 2: Place the remaining lockers
- Locker U is placed immediately above Locker T (position 1), so Locker U is at position 2.
- Locker P is placed immediately above Locker R (position 4), so Locker P is at position 5.
- Locker Q is placed immediately below Locker R (position 4), so Locker Q is at position 3.
- Locker S is given to be at position 6.

Step 3: Assign the metals to each locker position
- Position 6: Locker S contains Gold (two levels above Locker R at level 4).
- Position 5: Locker P contains Platinum.
- Position 4: Locker R contains Iron.
- Position 3: Locker Q contains Copper.
- Position 2: Locker U contains Silver.
- Position 1: Locker T contains Bronze.

Step 4: Calculate the number of lockers below the Platinum locker
The locker containing Platinum is Locker P, located at position 5.
The lockers positioned below level 5 are levels 4, 3, 2, and 1.
Count of lockers below position 5 = 5 - 1 = 4.

Therefore, exactly Four lockers are placed below the locker containing Platinum.

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