Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?

(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.

(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.

Question

Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?

(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.

(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.

Accepted Answer

**Solution:**

We need to find who sits to the immediate left of D.

**Step 1: Analyze Statement I**
- A sits second from one of the extreme ends.
- Only two people sit between A and B.
- E sits to the immediate right of C.

Possible positions for A:
- If A is 2nd from left: Positions are 1 2 3 4 5 6
  A at position 2.
- Two people between A and B means B is either at position 5 (2 + 3) or position (2 - 3) which is invalid.

So, A at 2, B at 5.

E sits immediately right of C means if C is at position x, E is at position x+1.

But D and F positions are unknown, and no info about D's position or neighbors.

So, statement I alone is insufficient.

**Step 2: Analyze Statement II**
- C sits third from the left end (position 3).
- Only one person sits between C and F.
  So, F can be at position 1 or 5.
- E sits third to the right of F.

Check both possibilities:

- If F at 1, E at 4 (1 + 3)
- If F at 5, E at 8 (invalid, only 6 seats)

So, F at 1, E at 4.

Positions so far:
1: F
2: ?
3: C
4: E
5: ?
6: ?

No info about A, B, D.

No info about D's neighbors.

So, statement II alone is insufficient.

**Step 3: Combine Statements I and II**
From I:
- A is second from an extreme end.
- Two people between A and B.
- E is immediate right of C.

From II:
- C is at position 3.
- F at 1.
- E at 4.

From II, E is immediate right of C (positions 3 and 4), consistent with I.

From I, A is second from an extreme end.

Extreme ends are positions 1 and 6.

A can be at position 2 or 5.

From II, position 1 is F, position 3 is C, position 4 is E.

So A cannot be at 2 if F is at 1 (since A is second from extreme end, position 2 is second from left end).

So A is at position 5 (second from right end).

Two people between A and B means B is at position 2 (positions 2 and 5 have two seats between them: 3 and 4).

Positions now:
1: F
2: B
3: C
4: E
5: A
6: D (only remaining seat)

We have placed all except D, who must be at position 6.

Now, who sits to the immediate left of D?

Position 6 is D, immediate left is position 5, which is A.

**Answer:** A sits to the immediate left of D.

**Answer option:** Data in statements I and II together are sufficient to answer the question.

**Answer:** 4

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