F sits third to the left of A. C sits second to the left of D. Only A sits between E and C. B is not an immediate neighbour of F.
How many people sit between D and E when counted from the right of E?
The problem involves arranging 7 people (A, B, C, D, E, F, G) around a circular table facing the centre and finding the number of people between D and E.
Circular Seating Arrangement Solution
1. Initial Placement and Deductions
We use the given clues to determine the seating arrangement:
- Clue 1: F sits third to the left of A. Let's place A at position 1 (clockwise). Counting three positions left (counter-clockwise), F is at position 5. Arrangement: A _ _ F _ _ _
- Clue 3: Only A sits between E and C. This means the sequence is E-A-C or C-A-E. Since A is at position 1, E and C must be neighbours at positions 7 and 2.
- Possibility 1: E at 7, C at 2. Arrangement: E A C F _ _ _ (Positions: 7=E, 1=A, 2=C, 5=F).
- Possibility 2: C at 7, E at 2. Arrangement: C A E F _ _ _ (Positions: 7=C, 1=A, 2=E, 5=F).
- Clue 2: C sits second to the left of D.
- Testing Possibility 1: C is at position 2. Second to the left means D is 2 positions clockwise from C. D is at position 4. Arrangement: E A C D F _ _ (Positions: 7=E, 1=A, 2=C, 4=D, 5=F). Remaining positions 3 and 6 for B and G.
- Testing Possibility 2: C is at position 7. Second to the left means D is 2 positions clockwise from C. D is at position 2. This contradicts E being at position 2. So, Possibility 2 is invalid.
- Clue 4: B is not an immediate neighbour of F. F is at position 5. Its neighbours are D (at 4) and the person at position 6. B cannot be at position 6.
- Therefore, B must be at position 3, and G must be at position 6.
The final arrangement (clockwise) is: A, C, B, D, F, G, E.
Positions represented clockwise: A(1), C(2), B(3), D(4), F(5), G(6), E(7).
2. Counting People Between D and E
The question asks for the number of people between D and E when counted from the right of E (clockwise).
- The arrangement clockwise starting from E is: E, A, C, B, D, F, G.
- We count the people starting from the position immediately to the right of E until we reach D.
- E -> A (1st person counted)
- A -> C (2nd person counted)
- C -> B (3rd person counted)
- B -> D (Reached D, stop counting)
The people sitting between E and D when counting clockwise from E are A, C, and B. There are 3 people.
Similar Questions
- A, B, C, D, E, F and G are sitting around a circular table facing the centre.
Only three people sit between A and C when counted from the left of A. Only three people sit between B and G when counted from the right of G.F sits to the immediate right of B.D is an immediate neighbour of G as well as C.
How many people sit between C and F when counted from the left of F? - A, B, C, D, E and F are sitting around a circular table, facing the centre. D sits to the immediate right of E. B sits to the immediate right of F. C sits second to the left of E. What is the position of A with respect to C?
- D, E, F, G, K, L and M are sitting around a circular table, facing the centre of the table. F sits third to the left of K. Only one person sits between K and D when counted from the left of D. Only two people sit between L and E when counted from the right of E. G is an immediate neighbour of L.
Who sits third to the right of M? - D, E, F, G, I, J and K are sitting around a circular table, facing the centre of the table.
G is the immediate neighbour of both D and J. J sits third to the left of I. K sits to the immediate left of I. F is not an immediate neighbour of J.
Who sits third to the left of E? - Six friends D, E, F, G, J and K are sitting in a straight line facing north. No one sits to the right of K. Only one person sits between F and K. Only three people sit between K and J. G sits at some place to the left of D but at some place to the right of E. How many people sit between E and D?
- D, E, F, G, K, L, and M are sitting around a circular table, facing the centre of the table. F sits fourth to the left of E. M sits fourth to the right of G. Only two people sit between E and G when counted from the left of E. D is not an immediate neighbour of M or E. K is not an immediate neighbour of D.
Who sits third to the right of L? - Seven people, J, K, L, M, N, O and P, are sitting around a circular table facing the centre. J sits third to the right of M and second to the left of N. K is an immediate neighbour of both M and N. O is second to the left of P. How many people sit between M and P when counted from the left of M?
- Read the given information carefully and answer the question that follows.
Q, R, S and T are sitting around a round table. Q is sitting next to R. S is sitting to the left of T. Q is not sitting next to T.
Which of the following statements is INCORRECT? - Read the given information carefully and answer the question that follows.
Q, R, S and T are sitting around a round table. Q is sitting next to R. S is sitting to the left of T. Q is not sitting next to T.
Which of the following statements is INCORRECT? - A, B, C and D are sitting around a round table. C does not want to sit next to B. D is to the right of C. Which of the following statements is FALSE?
Important Questions from Seating arrangement
Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?
Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?
P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).
P is sitting to the immediate right of V and third to the left of U.
S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.
Q is sitting to the second right of U.
R is sitting to the immediate right of Q and second to the left of P.
How many people are sitting between R and T when counted from the left of T?
Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).
Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.
Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.
Who is sitting 3rd to the left of Narendra?
P got married 15 years ago. Today her age is 13⁄5 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?
