The question below is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and choose the appropriate answer.
A, B, C, D, E and F are sitting around a circular table, facing the centre. How many people sit between C and E when counted from the left of C?
Statements:
(I) A sits third to the right of E. B sits to the immediate right of E. C and F are immediate neighbours.
(II) D sits to the immediate right of B. Only two people sit between B and F. C sits second to the right of A.
The question below is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and choose the appropriate answer.
A, B, C, D, E and F are sitting around a circular table, facing the centre. How many people sit between C and E when counted from the left of C?
Statements:
(I) A sits third to the right of E. B sits to the immediate right of E. C and F are immediate neighbours.
(II) D sits to the immediate right of B. Only two people sit between B and F. C sits second to the right of A.
Solution
Looking at this data sufficiency problem, we need to determine how many people sit between C and E when counted from the left of C in a circular arrangement.
Testing Statement I:
From the given conditions:
- B sits immediately right of E
- A sits third to the right of E
- C and F are immediate neighbours
Let's place them. If E is at a position, then B is immediately to the right, and A is three positions to the right. This gives us: E → B → ? → A
We know C and F are neighbours, and D needs to be placed. However, C and F could be in multiple positions that satisfy "being neighbours." This creates more than one possible arrangement, giving different answers for the distance between C and E.
Statement I alone is NOT sufficient.
Testing Statement II:
From the given conditions:
- D sits immediately right of B
- Two people sit between B and F
- C sits second to the right of A
Starting with B at any position, D is immediately to its right. Two people between B and F means: B → person → person → F
This gives us: B → D → ? → F
Now we need to place A, C, and E in the remaining positions.
Since C sits second to the right of A, if we place A in the empty position between D and F, then C would be second to the right (which would be the position after F).
| Position | Person |
|---|---|
| 1 | B |
| 2 | D |
| 3 | A |
| 4 | F |
| 5 | C |
| 6 | E |
Verifying: C is second to the right of A ✓, D is immediately right of B ✓, two people (D and A) between B and F ✓
From the left of C (going counterclockwise when facing center): C → F → A → D → B → E
Therefore, 4 people sit between C and E when counted from the left of C.
Statement II alone IS sufficient.
The answer is Option 4.