Question Details

Directions (76-80) :Study the following information carefully and answer the questions given below:

Nine boxes are placed one above the other. The bottommost shelf is numbered as 1 and just above it is numbered as 2 and so on till the topmost shelf is numbered as 9.

Box C is placed at the position which is a multiple of 3. Three boxes are placed between Box C and Box H. There are as many boxes placed below Box H as above Box L. Box G is placed just above Box E but not placed just below Box C. Box D is placed below Box E. More than two boxes are placed between Box M and Box B. Box F is placed above Box M.


How many boxes are placed between Box E and Box F?

Options

A

None

B

Two

C

Four

D

Five

E

Three

Show Answer

Correct Answer :

Option E

Three

Solution :

The correct option is Three.


Step-by-Step Explanation and Puzzle Solution:

We are given 9 shelves numbered 1 to 9 from bottom to top.


1. Position of C and H:
Box C is placed at a position which is a multiple of 3, so C can be on shelf 3, 6, or 9.
Three boxes are placed between C and H.
- Case 1: If C is at shelf 9, H is at shelf 5.
- Case 2: If C is at shelf 6, H can be at shelf 2.
- Case 3: If C is at shelf 3, H can be at shelf 7.


2. Position of L:
"There are as many boxes placed below Box H as above Box L."
- In Case 1: H is at shelf 5 (4 boxes below H), so L must have 4 boxes above it, placing L at shelf 5 (which conflicts with H being at shelf 5).
- In Case 2: H is at shelf 2 (1 box below H), so L has 1 box above it, placing L at shelf 8.
- In Case 3: H is at shelf 7 (6 boxes below H), so L has 6 boxes above it, placing L at shelf 3 (which conflicts with C being at shelf 3).


Therefore, Case 2 is the only valid arrangement so far:
Shelf 9: _
Shelf 8: L
Shelf 7: _
Shelf 6: C
Shelf 5: _
Shelf 4: _
Shelf 3: _
Shelf 2: H
Shelf 1: _


3. Placing G, E, and D:
Box G is placed just above Box E, but G is not placed just below C (so G cannot be at shelf 5).
Box D is placed below Box E.
To accommodate G immediately above E, and D below E, G and E must be placed on shelves 4 and 3 respectively, with D below them on shelf 1.
Let's verify:
- G is at shelf 4
- E is at shelf 3
- D is at shelf 1 (below E)
- G (shelf 4) is not just below C (shelf 6), satisfying the condition.


Now the arrangement is:
Shelf 9: _
Shelf 8: L
Shelf 7: _
Shelf 6: C
Shelf 5: _
Shelf 4: G
Shelf 3: E
Shelf 2: H
Shelf 1: D


4. Placing F, M, and B:
Remaining empty shelves are 9, 7, and 5.
- Box F is placed above Box M.
- More than two boxes are placed between Box M and Box B.
If M is at shelf 5 and B is at shelf 9, the number of boxes between them is 3 (shelves 6, 7, 8), which is more than two.
Since F must be placed above M, F is placed at shelf 7.


Final Shelf Arrangement (from top to bottom):
Shelf 9: B
Shelf 8: L
Shelf 7: F
Shelf 6: C
Shelf 5: M
Shelf 4: G
Shelf 3: E
Shelf 2: H
Shelf 1: D


Answer to the question:
Box F is at shelf 7 and Box E is at shelf 3.
The boxes placed between Box E and Box F are those on shelves 4, 5, and 6 (G, M, and C).
Thus, there are Three boxes placed between Box E and Box F.

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