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A, B, C, D, E and F are sitting around a circular table, facing the centre. E sits third to the right of A. C sits to the immediate left of F. F is not an immediate neighbour of A. B sits to the immediate right of D. The position of how many persons will remain unchanged, if all the persons are arranged in the English alphabetical order in the clockwise direction, starting from A (including A)?

AOne

BFour

CTwo

DThree

Answer:

C. Two

Read Explanation:

The position of 2 persons (A and B) will remain unchanged.

Let's place the 6 people around the circular table in positions 1 to 6 in a clockwise direction. Facing the center means Clockwise = Left and Counter-Clockwise = Right.

  1. "E sits third to the right of A":

    • Let's place A at position 1.

    • Moving 3 places to the right (counter-clockwise) places E at position 4 (directly opposite A).

  2. "C sits to the immediate left of F" and "F is not an immediate neighbour of A":

    • Since F cannot be next to A (positions 2 or 6), and cannot be at position 3 (because its left, position 4, is already taken by E), F must be at position 5.

    • The immediate left (clockwise) of F is position 6, so C is at position 6.

  3. "B sits to the immediate right of D":

    • The only remaining empty slots are positions 2 and 3.

    • To have B to the immediate right (counter-clockwise) of D, D must be at position 3 and B must be at position 2.

Initial Clockwise Arrangement:

  • Position 1: A

  • Position 2: B

  • Position 3: D

  • Position 4: E

  • Position 5: F

  • Position 6: C


Comparison with Alphabetical Order

Now, we rearrange everyone in alphabetical order (A, B, C, D, E, F) in a clockwise direction starting from A:

Position

Initial Arrangement

New Alphabetical Arrangement

Status

Position 1

A

A

Unchanged

Position 2

B

B

Unchanged

Position 3

D

C

Changed

Position 4

E

D

Changed

Position 5

F

E

Changed

Position 6

C

F

Changed

Only A and B retain their original spots.


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