Study the following arrangement carefully and answer the questions given below:
Five boxes A, B, C, D and E are kept one above the other in a stack but not necessarily in the same order. Each box contains different fruits i.e., Orange, Mango, Apple, Banana, and Guava but not necessarily in the same order.
One box gap between box E and the box which contains Mango. Two boxes gap between the box which contains Orange and Banana. Apple box placed immediate below Banana box. Two boxes gap between box E and box B which contains Banana. Box A is placed immediately above box C.
How many boxes are placed between Box E and Box D?
Correct Answer :
Three
Solution :
The correct option is Three.
Let us determine the exact arrangement of the five boxes (A, B, C, D, E) and their contents based on the given clues:
1. "Apple box placed immediate below Banana box."
2. "Two boxes gap between box E and box B which contains Banana."
3. "Two boxes gap between the box which contains Orange and Banana."
4. "One box gap between box E and the box which contains Mango."
5. "Box A is placed immediately above box C."
Let us analyze these clues step-by-step to place the 5 positions from top (Position 5) to bottom (Position 1):
• Box B contains Banana. Since the Apple box is placed immediately below Box B (Banana), Apple must be in the box directly beneath B.
• There are two boxes gap between Box E and Box B (Banana). So if Box B is at Position 4, Box E must be at Position 1, or if Box B is at Position 5, Box E must be at Position 2.
• Also, there is a two-box gap between Orange and Banana (Box B). Since Box B has Banana, the box containing Orange must be 3 positions away from B (with 2 boxes in between).
• If Box B is at Position 5 (Top), then the box with Orange is at Position 2. The box immediately below B (Position 4) contains Apple. This leaves Box E at Position 2 (since 2 boxes gap from B). But Position 2 is already occupied by Orange! Thus, Box B cannot be at Position 5.
• Therefore, Box B (Banana) must be at Position 4.
• Then Box E is at Position 1 (2 boxes gap: Positions 3 and 2 are between B and E).
• The box immediately below B (Position 3) contains Apple.
• The box containing Orange has a 2-box gap from Box B (Position 4), so Orange must be at Position 1 (Box E).
Now let's place the remaining items and boxes:
• Box E (Position 1) contains Orange.
• There is a 1-box gap between Box E (Position 1) and the box containing Mango. Thus, the box at Position 3 contains Mango.
• Now, looking at the fruits: Position 1 = Orange, Position 3 = Mango, Position 4 = Banana. Since Position 3 contains Apple (from earlier rule: Apple is immediately below Banana at Position 4), Position 3 has both Apple and Mango? Wait, let's re-verify the fruit positions:
- Box B (Banana) is at Position 4.
- Immediately below Box B is Position 3, so Position 3 contains Apple.
- There is one box gap between Box E (Position 1) and Mango, which puts Mango at Position 3. But Position 3 is Apple. That means the gap goes upwards! Thus, Box B at Position 4 cannot be 4th if E is 1st... wait, let's test if Box E is at Position 5 instead!
- If Box E is at Position 5, then Box B (Banana) is at Position 2.
- Apple is immediately below Box B, so Apple is at Position 1.
- Two boxes gap between Orange and Banana (Position 2), so Orange is at Position 5 (Box E).
- One box gap between Box E (Position 5) and Mango, so Mango is at Position 3.
- The remaining fruit, Guava, must be in Box B at Position 2? No, Box B contains Banana. So Guava is at Position 4!
Let's verify this order from top (5) to bottom (1):
• Position 5: Box E - Orange
• Position 4: Guava
• Position 3: Mango
• Position 2: Box B - Banana
• Position 1: Apple
Now let's place the remaining box labels (A, C, D):
• "Box A is placed immediately above box C."
Positions available for boxes: 4, 3, 1.
Since A is immediately above C, Box A must be at Position 4 and Box C must be at Position 3.
• That leaves Position 1 for Box D.
Final complete arrangement from top (5) to bottom (1):
1. Position 5: Box E (Orange)
2. Position 4: Box A (Guava)
3. Position 3: Box C (Mango)
4. Position 2: Box B (Banana)
5. Position 1: Box D (Apple)
The question asks: "How many boxes are placed between Box E and Box D?"
Box E is at the top (Position 5) and Box D is at the bottom (Position 1).
The boxes between them are Box A, Box C, and Box B, which is a total of 3 boxes (Three).
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