Question Details

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 Guava and Apple boxes?

Options

A

Three

B

Four

C

One

D

Two

E

None of these

Show Answer

Correct Answer :

Option D

Two

Solution :

The correct option is Two.


Step-by-step Explanation:


Let us analyze the clues step by step to determine the arrangement of five boxes (A, B, C, D, E) from top to bottom (positions 5 to 1, where 5 is the top and 1 is the bottom):


1. Clue: "Two boxes gap between box E and box B which contains Banana."
This means Box B contains Banana. Also, there are 2 boxes between E and B. So if B is at position 1 (bottom), E is at position 4; or if B is at position 4, E is at position 1.


2. Clue: "Apple box placed immediate below Banana box."
Since Box B contains Banana, the box immediately below B must contain Apple. Therefore, B cannot be at the bottommost position (position 1). Thus, B must be at position 4, containing Banana. The box at position 3 must contain Apple.
Since there are two boxes between E and B, Box E must be at position 1 (the bottommost position).


3. Clue: "One box gap between box E and the box which contains Mango."
Since E is at position 1, the box containing Mango must be at position 3 (one box gap, which is position 2). But position 3 already contains Apple. Wait, let's re-verify the gap between E and Mango:
With E at position 1, position 2 is the gap, so position 3 contains Mango. But position 3 is immediately below B (Banana), so position 3 is Apple. That would mean Apple = Mango, which is impossible.
Let's re-evaluate position indexing: 5, 4, 3, 2, 1.
If Box B is at position 5 (top):
- B (Banana) is at position 5.
- Box immediately below B is position 4, which contains Apple.
- Two boxes gap between B (5) and E means E is at position 2.
- One box gap between E (2) and Mango: Mango could be at position 4 or position 0 (invalid). But position 4 is Apple! So Mango cannot be at 4.
Wait! Let's check Box B at position 4:
- Position 5: Top box.
- Position 4: Box B (Banana).
- Position 3: Immediate below B -> Apple.
- Position 2: Gap box.
- Position 1: Box E.
One box gap between Box E (1) and Mango: gap is position 2, so position 3 has Mango? No, wait: one box gap above E (1) means the box above E is 2, so the box with gap 1 from E is position 3! But 3 is Apple.
Wait, let's check: "Box A is placed immediately above box C."
This means A and C are adjacent as a block [A, C].
Positions available for boxes: 5, 4, 3, 2, 1.
We know Box B is at 4 or 5. Since E is at 1 (if B=4) or 2 (if B=5), let's place [A, C]:
Case 1: B is at position 4.
Then E is at 1.
Positions 5, 3, 2 are left for A, C, D. Since A is immediately above C, [A, C] can be at [3, 2].
So:
Position 5: Box D
Position 4: Box B (Banana)
Position 3: Box A (Apple)
Position 2: Box C
Position 1: Box E
Now let's check fruits:
- Box B contains Banana (Position 4).
- Apple is immediately below Banana -> Box A at position 3 has Apple.
- "Two boxes gap between the box which contains Orange and Banana."
Since Banana is at position 4, two boxes gap (positions 3 and 2) means Orange is at position 1 (Box E). So Box E contains Orange.
- "One box gap between box E and the box which contains Mango."
Box E is at position 1. One box gap (position 2) means Mango is at position 3? But position 3 has Apple. Wait! One box gap between E (1) and Mango could mean Mango is at position 2? No, between 1 and 3 there is 1 box (position 2). Wait, if Mango is at position 4? Position 4 is Banana.
Wait, what if Mango is at position 5?
Between position 1 and position 5 there are 3 boxes. Between 1 and 3 there is 1 box.
Wait, let's re-read: "One box gap between box E and the box which contains Mango."
If Box E is at position 2:
- Position 5: Box B (Banana)
- Position 4: Box A (Apple)
- Position 3: Box C
- Position 2: Box E
- Position 1: Box D
Let's check fruits for this setup:
- Banana is at position 5 (Box B).
- Apple is immediately below Banana -> Box A (Position 4) has Apple.
- Two boxes gap between Orange and Banana (5): gap is 4 and 3, so Orange is at position 2 (Box E). Thus, Box E contains Orange.
- One box gap between Box E (2) and Mango: one box gap above E (2) is position 4 (Apple). One box gap below E (2)? Position 2 - 2 = 0 (invalid). Wait! If one box gap means 1 box between E and Mango, then if E is at 2, Mango is at 4? But 4 is Apple. If E is at 3, Mango is at 1 or 5!
Let's check if Box E is at position 3:
If E is at position 3, then since there are two boxes gap between E and B, B must be at position 0 or 6 (impossible for 5 boxes). So E cannot be at 3.


Let's re-verify: "One box gap between box E and the box which contains Mango."
Wait! If Box E contains Orange/Mango...
Let's test: Box E is at position 1.
Positions from top to bottom (5, 4, 3, 2, 1):
5: D (Guava)
4: B (Banana)
3: A (Mango)
2: C (Apple)
1: E (Orange)
Wait! Let's check: "Apple box placed immediate below Banana box." -> If Banana is at 4, Apple is at 3. But here Apple is at 2, Banana at 4, which is gap of 1, not immediate.
If Apple is at 3 (immediately below B at 4):
5: D
4: B (Banana)
3: A (Apple)
2: C (Mango)
1: E (Orange)
Let's check the gap between E (1) and Mango (2):
Number of boxes between position 1 and position 2 = 0 boxes! But the clue says "One box gap between box E and the box which contains Mango", so Mango must be at position 3 (gap of 1 box, i.e., position 2 is between 1 and 3)! But position 3 is Apple!
Wait, could Box B be at position 5, E at position 2?
5: B (Banana)
4: A (Mango)
3: C (Apple)
2: E (Orange)
1: D (Guava)
Wait, here Apple (3) is immediately below A (4). But Apple must be immediately below Banana (5)! So Apple must be at 4.


Wait! What if A is above C, but not necessarily A=4, C=3? Could A=5, C=4? Then B=3? No, B is Banana, two boxes gap with E.
Let's list the stack from Top (5) to Bottom (1):
5: A (Mango)
4: C (Banana)
Wait, "Box A is placed immediately above box C." -> A is immediately above C.
"Box B which contains Banana." -> So Box B = Banana.
Thus C cannot be Banana, B is Banana!


Let's check the full correct arrangement of boxes and fruits from top (5) to bottom (1):
5: Box A - Guava
4: Box C - Orange
3: Box E - Mango
2: Box B - Banana
1: Box D - Apple


Let's verify all conditions for this arrangement:
1. "Two boxes gap between box E and box B which contains Banana." -> E is at 3, B is at 2... wait, gap between 3 and 2 is 0 boxes. But if E is at 5 and B is at 2, gap is 2 boxes (4 and 3)!
Let's test:
5: Box E - Guava
4: Box A - Orange
3: Box C - Mango
2: Box B - Banana
1: Box D - Apple


Let's re-verify all conditions for this arrangement (Top = 5, Bottom = 1):
- Box E is at 5.
- Box B (Banana) is at 2.
- Gap between E (5) and B (2) = 2 boxes (positions 4 and 3). (Satisfied)
- "Apple box placed immediate below Banana box." -> Box D at position 1 contains Apple. (Satisfied)
- "Two boxes gap between the box which contains Orange and Banana." -> Banana is at 2, so Orange is at 5 (Box E). Thus Box E contains Orange! (Wait, then Box E = Orange).
- "One box gap between box E (5) and the box which contains Mango." -> E is at 5, one box gap (position 4) means Mango is at position 3 (Box C). (Satisfied)
- "Box A is placed immediately above box C." -> Box A is at 4, Box C is at 3. (Satisfied)


Let's write down the final stack from 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)


Now, let's answer the question: "How many boxes are placed between Guava and Apple boxes?"
- Guava is in Box A (Position 4).
- Apple is in Box D (Position 1).
- The boxes placed between Box A (position 4) and Box D (position 1) are Box C (position 3) and Box B (position 2).


Therefore, there are Two boxes placed between the Guava and Apple boxes.

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