Question

A, B, C, D, E, F and G are sitting around a circular table facing the centre (but not necessarily in the same order). C sits second to the left of E, who is third to the left of A. G sits third to the right of B, who is not an immediate neighbour of F. D sits second to the right of B. How many people sit between D and A when counted from the left of D?

• A. One
• B. Two
• C. Three
• D. Four

Answer 1

Answer:

D. Four

Let’s solve step by step.

Assume everyone is facing the centre, so:

• Left = clockwise

• Right = anticlockwise

  Fix positions using given relations

Let’s place A at position 0 (to simplify the circle).

1) E is third to the left of A

From A (0), move 3 clockwise → E = 3

2) C is second to the left of E

From E (3), move 2 clockwise → C = 5

So far:

• A = 0

• E = 3

• C = 5

Remaining seats: 1, 2, 4, 6 for B, D, F, G

Use B-related conditions

3) G is third to the right of B

Right = anticlockwise
So: G = B − 3 (mod 7)

4) D is second to the right of B

So: D = B − 2 (mod 7)

Thus around B (anticlockwise order):

• B → (x−1) → D → G

  Try valid placements

Check possible B positions from remaining slots:

Try B = 4

• D = 2

• G = 1

Now placed:

• B = 4

• D = 2

• G = 1

Remaining seats:

• 6 = F

So final arrangement:

• A = 0

• G = 1

• D = 2

• E = 3

• B = 4

• C = 5

• F = 6

All conditions check out.

Question

How many people sit between D and A when counted from the left of D?

From D (2), moving clockwise (left):

• 3 (E)

• 4 (B)

• 5 (C)

• 6 (F)

• 0 (A)

People between D and A = E, B, C, F = 4 people

Final Answer: 4