Question Details

Study the following information carefully and answer the given questions:


Seven persons A, B, C, D, E, F, and G are sitting around a circular table, but not necessarily in the same order.

Some of them face towards the centre, and some face away from the centre.

F sits third to the right of A. The immediate neighbours of A face the same direction but opposite as A. A faces the same direction as B but not towards the centre. One person sits between A and C. D sits 2nd to the left of C. E sits 2nd to the left of G and face in the same direction. F and D face opposite direction as E.

How many persons sit between B and F (counting clockwise from F)?

Options

A

One

B

Three

C

Four

D

Two

E

None

Show Answer

Correct Answer :

Option C

Four

Solution :

The correct option is Four.


Let's analyze the given information step-by-step to determine the seating arrangement of seven persons (A, B, C, D, E, F, and G) around a circular table.


Step 1: Understanding the statements and directions

1. A faces the same direction as B but not towards the centre. This means both A and B face away from the centre (Outside).

2. F sits third to the right of A. Since A faces away from the centre (Outside), counting 3 places to the right of A places F in that position.

3. The immediate neighbours of A face the same direction, which is opposite to A. Since A faces away from the centre, both immediate neighbours of A must face towards the centre (Inside).

4. One person sits between A and C. There are two possibilities for C's position relative to A.

5. D sits 2nd to the left of C.

6. E sits 2nd to the left of G and both E and G face in the same direction.

7. F and D face opposite direction as E.


Step 2: Placing the persons around the circular table (7 positions, numbered 1 to 7 clockwise)

Let position 1 be A (Facing: Outside).

Since A faces outside, right of A is counter-clockwise (7, 6, 5...) and left of A is clockwise (2, 3, 4...).

F sits 3rd to the right of A → F is at position 5.

Immediate neighbours of A are at positions 2 and 7. Both face Inside.


Now consider the placement of C (1 person between A and C):

C can be at position 3 or position 6.

If C is at position 6 (which is a neighbour of A, facing Inside):

D sits 2nd to the left of C. Since C faces Inside, left of C (at position 6) is clockwise, which leads to position 4 for D.

Remaining positions for E and G are 2, 3, and 7.

If G is at 7 (facing Inside): 2nd to the left of G (Inside) is clockwise → position 2 for E. Both E and G face Inside.

Then B must be at position 3.

Let's verify all facing directions:

- A faces Outside

- B (at position 3) faces Outside

- Immediate neighbours of A (positions 2 and 7) face Inside → E (at 2) and G (at 7) face Inside.

- E and G face the same direction → Both face Inside.

- F and D face opposite direction to E → Since E faces Inside, F and D must face Outside.

- C (at position 6) faces Inside (neighbour of A).


Let's summarize the final seating order clockwise (from 1 to 7):

1. A (Outside)

2. E (Inside)

3. B (Outside)

4. D (Outside)

5. F (Outside)

6. C (Inside)

7. G (Inside)


Step 3: Answer the question

We need to find the number of persons sitting between B and F when counting clockwise from F:

Starting at F (position 5) and moving clockwise: 5 (F) → 6 (C) → 7 (G) → 1 (A) → 2 (E) → 3 (B).

The persons sitting between F and B counting clockwise are C, G, A, and E.

Therefore, there are exactly 4 (Four) persons sitting between B and F when counting clockwise from F.

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