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 below Box M?

Correct Answer: Four

Let us solve the puzzle step-by-step by analyzing the given directions and clues.

There are 9 shelves numbered 1 to 9 from bottom to top.

Step 1: Position of Box C and Box H
Box C is placed at a position that is a multiple of 3. So, Box C can be on shelf 3, 6, or 9.
Three boxes are placed between Box C and Box H.

Let us check the possibilities:
• If Box C is on shelf 9: Box H must be on shelf 5 (since 3 boxes are between 9 and 5).
• If Box C is on shelf 6: Box H could be on shelf 2 (since 3 boxes are between 6 and 2).
• If Box C is on shelf 3: Box H would need to be on shelf -1 (not possible) or shelf 7 (3 boxes between 3 and 7).

Step 2: Position of Box L
"There are as many boxes placed below Box H as above Box L."
• Case 1: If Box H is on shelf 5 (4 boxes below H), then Box L must have 4 boxes above it, which puts Box L on shelf 5. But H and L cannot be on the same shelf. So C cannot be on 9.
• Case 2: If Box H is on shelf 7 (6 boxes below H), then Box L must have 6 boxes above it, which puts Box L on shelf 3. But Box C is already on shelf 3! So C cannot be on 3.
• Case 3: If Box H is on shelf 2 (1 box below H), then Box L must have 1 box above it, which puts Box L on shelf 8. Here Box C is on shelf 6.

So we have established:
Shelf 8: Box L
Shelf 6: Box C
Shelf 2: Box H

Step 3: Placing Box G, Box E, and Box D
"Box G is placed just above Box E but not placed just below Box C."
Box C is on shelf 6, so Box G cannot be on shelf 5.
Since G and E are placed together (G immediately above E), the available consecutive free shelves are:
• Shelves 5 & 4: But G cannot be on shelf 5.
• Shelves 4 & 3: Box G on 4, Box E on 3.
• Shelves 9 & 8: Shelf 8 is occupied by L.
Therefore, Box G is on shelf 4 and Box E is on shelf 3.

"Box D is placed below Box E."
The only available shelf below Box E (shelf 3) that is currently empty is shelf 1.
So, Box D is on shelf 1.

Step 4: Placing Box F, Box M, and Box B
The 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 Box B is placed on shelf 9 and Box M is on shelf 5, there are 3 boxes (shelves 8, 7, 6) between them, which satisfies "more than two boxes".
Then Box F must be placed on shelf 7, which satisfies "Box F is placed above Box M" (shelf 7 is above shelf 5).

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

Answering the Question:
Box M is on shelf 5. The boxes placed below Box M are on shelves 4, 3, 2, and 1 (Boxes G, E, H, D).
Therefore, there are Four boxes placed below Box M.