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Six persons i.e. A, B, C, D, E and F sit in row such that all of them face in the north direction. They all like different fruits i.e. Mango, Strawberry, Guava, Orange, Apple and Banana but not necessarily in the same order.

The one who likes Strawberry sits at the right end. B sits 3rd to the left of the one who likes Guava. A sits 2nd to the left of the one who likes Mango, and likes Banana. C sits 3rd to the right of E but not sit at any extreme ends. There are as many persons sit to the right of D is same as to the left of the one who likes Apple.

Which of the following statement is true?

Options

A

C sits to the immediate left of the one who likes Apple.

B

The one who likes Mango sits 3rd from the extreme right end.

C

B likes Orange.

D

A sits third to the left of D.

E

None is true

Show Answer

Correct Answer :

Option D

A sits third to the left of D.

Solution :

The correct statement is A sits third to the left of D.


Step-by-Step Explanation and Seating Arrangement:


Let six positions in a row from left to right be numbered 1 to 6 (facing North):
Position 1 (Extreme Left) - Position 2 - Position 3 - Position 4 - Position 5 - Position 6 (Extreme Right)


1. Strawberry placement:
"The one who likes Strawberry sits at the right end."
So, Position 6 = Strawberry.


2. Placing C and E:
"C sits 3rd to the right of E but does not sit at any extreme ends."
Since C cannot be at Position 6 (extreme right) or Position 1 (extreme left), C must be at Position 4 or Position 5.
If C is at Position 5, then E (3rd to the left of C) is at Position 2.
If C is at Position 4, then E is at Position 1.


3. Placing A and Mango:
"A sits 2nd to the left of the one who likes Mango, and likes Banana."
This means the pattern is: A (Banana) _ (Mango).
Also, "B sits 3rd to the left of the one who likes Guava" means: B _ _ (Guava).


Testing C at Position 4, E at Position 1:
Positions: 1: E, 2: _, 3: _, 4: C, 5: _, 6: _ (Strawberry)
For B _ _ (Guava): B must be at Position 2 or 3.
If B is at Position 2, Guava is at Position 5.
Then A must be at Position 3, which puts Mango at Position 5 (conflict with Guava).
If B is at Position 3, Guava is at Position 6 (conflict with Strawberry).


Therefore, C must be at Position 5, and E must be at Position 2.
Positions: 1: _, 2: E, 3: _, 4: _, 5: C, 6: _ (Strawberry)


4. Placing B and A in this valid configuration:
Since E is at Position 2, B can be at Position 1. Then Guava is at Position 4.
Positions: 1: B, 2: E, 3: _, 4: _ (Guava), 5: C, 6: _ (Strawberry)
Now for A (Banana) _ (Mango):
A can be placed at Position 3, so Mango is at Position 5 (C likes Mango), and A likes Banana.
The remaining person D must be at Position 6.


5. Determining the Apple condition:
"There are as many persons sit to the right of D is same as to the left of the one who likes Apple."
D is at Position 6 (0 persons to the right of D).
So, 0 persons sit to the left of the one who likes Apple, which means the person at Position 1 (B) likes Apple.
Wait, let's re-verify B's fruit: B is at Position 1, so B likes Apple. Position 2 (E) must like Orange (the remaining fruit).


Final Seating Order (Left to Right):
1. B (Apple)
2. E (Orange)
3. A (Banana)
4. D (Guava)
5. C (Mango)
6. F (Strawberry) — wait, let's re-check D's position.


If D is at Position 6, then F is at Position 4.
Let's check positions: 1: B, 2: E, 3: A, 4: F (Guava), 5: C (Mango), 6: D (Strawberry).
Number of persons to the right of D = 0.
Number of persons to the left of Apple (B at Pos 1) = 0.
Now let's check the position of A relative to D:
A is at Position 3, D is at Position 6.
A is 3 positions to the left of D (3rd to the left of D).


This confirms that A sits third to the left of D is the true statement.

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