Question Details

Directions: Read the following information carefully and answer the questions given below:

Nine containers - P, Q, R, S, T, U, V, W, and X - are placed one above another in a single vertical stack, but not necessarily in the same order. Container R is placed fourth from the top of the stack. Only three containers are placed between container R and container Q, where container Q is kept below container R. Container U is kept immediately below container Q. Container W is placed at the top of the stack. Only one container is placed between container W and container T. Container P is placed immediately above container T. Two containers are kept between container S and container Q. Container X is placed immediately below container S. Container V is placed between container X and container Q.

Which among the following statement(s) is/are true?
I. More than four containers are kept below container R
II. Container S is kept below container Q
III. Container W is kept at the topmost position

Options

A

Both I and III

B

All I, II and III

C

Only I

D

Both I and II

E

Only III

Show Answer

Correct Answer :

Option A

Both I and III

Both I and III

Solution :

The correct answer is Both I and III.

Step-by-step Explanation:

There are 9 containers arranged in a single vertical stack, numbered 1 to 9 from top to bottom.

1. Determining the positions of each container:
- Position 1: Container W is placed at the top of the stack, so W = 1.
- Position 4: Container R is placed fourth from the top of the stack, so R = 4.
- Position 8: Three containers are placed between R and Q, where Q is kept below R. Starting from position 4, skipping 3 positions (5, 6, and 7), container Q is placed at position 8.
- Position 9: Container U is kept immediately below container Q, so U = 9.
- Position 3: Only one container is placed between W (position 1) and T, so container T is at position 3.
- Position 2: Container P is placed immediately above container T, so container P is at position 2.
- Position 5: Two containers are kept between S and Q (position 8). Moving upwards from position 8 and skipping 2 positions (6 and 7), container S is placed at position 5.
- Position 6: Container X is placed immediately below container S, so container X is at position 6.
- Position 7: Container V is placed between container X (position 6) and container Q (position 8), so container V is at position 7.

Final Stack Arrangement (from Top to Bottom):
Position 1: W
Position 2: P
Position 3: T
Position 4: R
Position 5: S
Position 6: X
Position 7: V
Position 8: Q
Position 9: U

2. Evaluating the given statements:
- Statement I: "More than four containers are kept below container R"
Container R is at position 4. The containers kept below R are S, X, V, Q, and U (a total of 5 containers). Since 5 > 4, Statement I is true.
- Statement II: "Container S is kept below container Q"
Container S is at position 5 and container Q is at position 8. Container S is kept above container Q, so Statement II is false.
- Statement III: "Container W is kept at the topmost position"
Container W is at position 1, which is the topmost position of the stack, so Statement III is true.

Therefore, statements I and III are true.

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