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.
Which of the following box contains Guava?
Correct Answer :
Box A
Solution :
To determine which box contains Guava, let us analyze the given information step-by-step to determine the order of the five boxes (A, B, C, D, and E) and their respective fruit contents (Orange, Mango, Apple, Banana, Guava) from top to bottom.
Step 1: Determine the positions of Box B, Box E, and the fruit arrangements.
From the clues given:
1. "Two boxes gap between box E and box B which contains Banana."
So, Box B = Banana.
2. "Apple box placed immediate below Banana box."
Since Box B contains Banana, the box immediately below Box B contains Apple.
3. "Two boxes gap between the box which contains Orange and Banana."
Since Box B contains Banana, the box with Orange must be separated from Box B by 2 boxes. This establishes a 4-box sequence: Orange (or Banana), [Box], [Box], Banana (or Orange).
4. "One box gap between box E and the box which contains Mango."
5. "Box A is placed immediately above box C."
This means Box A and Box C form an adjacent pair: [Box A / Box C].
Step 2: Construct the stack from top to bottom (Positions 5 down to 1).
Let top position be 5 and bottom position be 1.
Case consideration based on two boxes gap between E and B (Banana):
If Box B (Banana) is at position 4:
The box immediately below it (position 3) must be Apple.
Since there are 2 boxes between Orange and Banana (Box B at 4), Orange must be at position 1.
Since there are 2 boxes between E and B, Box E must be at position 1. But Orange is at position 1, so Box E contains Orange!
Let's verify the positions from top to bottom (5 to 1):
Position 5: Box D - Guava (remaining box and fruit)
Position 4: Box B - Banana
Position 3: Box A - Apple
Position 2: Box C - Mango
Position 1: Box E - Orange
Let's check all clues with this arrangement:
- Box A is immediately above Box C (A at 3, C at 2): Satisfied.
- One box gap between E (1) and Mango (2)? Wait, gap between 1 and 2 is 0. Let's re-align E and Mango.
Let's test another orientation (Top to Bottom: 5 down to 1):
Let Box E be at position 5.
Two boxes gap between E (5) and B (2):
Position 5: Box E
Position 4: Box A
Position 3: Box C
Position 2: Box B (Banana)
Position 1: Box D
Now let's place the fruits:
1. Box B (position 2) contains Banana.
2. "Apple box placed immediate below Banana box":
So Position 1 (Box D) contains Apple.
3. "Two boxes gap between the box which contains Orange and Banana (position 2)":
Orange must be at Position 5 (Box E).
4. "One box gap between box E (position 5) and the box which contains Mango":
The box with Mango must be at Position 3 (Box C).
5. "Box A is placed immediately above box C":
Position 4 is Box A, Position 3 is Box C. This condition is perfectly satisfied!
6. Remaining fruit:
The fruits assigned so far are:
- Position 5 (Box E): Orange
- Position 4 (Box A): Guava
- Position 3 (Box C): Mango
- Position 2 (Box B): Banana
- Position 1 (Box D): Apple
Final Arrangement (Top to Bottom):
Position 5: Box E — Orange
Position 4: Box A — Guava
Position 3: Box C — Mango
Position 2: Box B — Banana
Position 1: Box D — Apple
Conclusion:
Box A contains Guava.
The correct answer is Box A.
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