Question Details

Seven boxes, D, E, F, G, H, W and X, are kept one over the other, but not necessarily in the same order. Only H is kept above E. Only D is kept between E and G. Only F is kept below X. How many boxes are kept between W and E?

Options

A

One

B

Three

C

Two

D

Four

Show Answer

Correct Answer :

Option C

Two

Solution :

The correct option is Two.

Let us determine the positions of the seven boxes from top to bottom (numbered 1 to 7, where 1 is the topmost position and 7 is the bottommost position) step-by-step using the given clues:
1. Clue: "Only H is kept above E."
This statement implies that H is at the very top of the stack, and E is immediately below it. Therefore:
Position 1 = H
Position 2 = E

2. Clue: "Only D is kept between E and G."
Since E is at Position 2, G must be placed at Position 4 so that D can occupy the position between them. Thus:
Position 3 = D
Position 4 = G

3. Clue: "Only F is kept below X."
This statement indicates that F is at the absolute bottom of the stack (Position 7), and X is directly above it at Position 6. Therefore:
Position 6 = X
Position 7 = F

4. Placing the remaining box:
We have filled positions 1, 2, 3, 4, 6, and 7. The only vacant position left is Position 5, which must be occupied by the remaining box, W. Thus:
Position 5 = W

The complete arrangement from top to bottom is:
1. H
2. E
3. D
4. G
5. W
6. X
7. F

To find the number of boxes between W (Position 5) and E (Position 2), we identify the boxes at Positions 3 and 4, which are D and G. Since there are exactly 2 boxes (D and G) between them, the correct answer is Two.

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