Question 1
Six persons A, B, C, D, E and F are sitting in a circle facing the centre. A is facing D. C is left of A and right of E. D is between B and E. F is right of A. Which one of the following statements is incorrect?
Explanation
Place A at position 1 (clockwise numbering 1-6). F is right of A, so F = position 2. C is left of A, so C = position 6. A faces D, so D is diametrically opposite A, i.e. D = position 4. C is right of E, so E is immediately counter-clockwise of C, i.e. E = position 5. D is between B and E, so the other neighbour of D (position 3) is B.
Final arrangement (clockwise): A(1), F(2), B(3), D(4), E(5), C(6).
Checking each statement: F(2) and B(3) are neighbours, and F(2) and A(1) are neighbours -- so "F is between A and B" and "F and A are neighbours" are both TRUE. B(3) is immediately before D(4), so "B is left of D" is also TRUE. But F(2) and C(6) are NOT adjacent (their neighbours are 1,3 and 5,1 respectively) -- so "F and C are neighbours" is the INCORRECT statement.
Final arrangement (clockwise): A(1), F(2), B(3), D(4), E(5), C(6).
Checking each statement: F(2) and B(3) are neighbours, and F(2) and A(1) are neighbours -- so "F is between A and B" and "F and A are neighbours" are both TRUE. B(3) is immediately before D(4), so "B is left of D" is also TRUE. But F(2) and C(6) are NOT adjacent (their neighbours are 1,3 and 5,1 respectively) -- so "F and C are neighbours" is the INCORRECT statement.
Question 2
Six persons A, B, C, D, E and F are sitting in two rows with 3 persons in each row facing same side. C is sitting in the middle of first row. B is sitting in the left of C. E is also sitting in the middle. A is sitting in the right of E. F is sitting in the right of C. Who is not sitting at one of the ends of any row?
Explanation
Row 1: C is in the middle, B is to C's left, F is to C's right → Row 1 (left to right) = B, C, F.
Row 2: E is in the middle (the only other row), A is to E's right, leaving D for the remaining left seat → Row 2 (left to right) = D, E, A.
The end (left/right) seats are B, F (row 1) and D, A (row 2) -- all occupied by people other than C and E, who sit in the middle seats. Since only E appears among the answer options, E is the one not sitting at an end of any row.
Row 2: E is in the middle (the only other row), A is to E's right, leaving D for the remaining left seat → Row 2 (left to right) = D, E, A.
The end (left/right) seats are B, F (row 1) and D, A (row 2) -- all occupied by people other than C and E, who sit in the middle seats. Since only E appears among the answer options, E is the one not sitting at an end of any row.
Question 3
Six people, A, B, C, D, E and F are sitting in a hexagonal shape. All the sides of the hexagon so formed are of same length. A is not adjacent to B or C; D is not adjacent to C or E; B and C are adjacent; F is in the middle of D and C. Which of the following is not a correct neighbour pair?
Explanation
"F is in the middle of D and C" means D, F, C sit consecutively. Since B and C are adjacent, and C already has F on one side, B must be C's other neighbour, giving the consecutive block: D, F, C, B.
The remaining two seats (after B, going around) are for A and E. Since D must not be adjacent to E, E cannot take the seat next to D -- so going around from B: D, F, C, B, E, A, and back to D.
Checking adjacency: D-F, F-C, C-B, B-E, E-A, A-D are all true neighbour pairs. A and F, however, are two seats apart (not adjacent) -- so "A and F" is NOT a correct neighbour pair.
The remaining two seats (after B, going around) are for A and E. Since D must not be adjacent to E, E cannot take the seat next to D -- so going around from B: D, F, C, B, E, A, and back to D.
Checking adjacency: D-F, F-C, C-B, B-E, E-A, A-D are all true neighbour pairs. A and F, however, are two seats apart (not adjacent) -- so "A and F" is NOT a correct neighbour pair.
Question 4
Seven persons with names T, B, L, A, P, Z and R are standing in a row, facing East. It is given that T is to the right of R; A is between B and Z, L, who is third to the left of B, is at the end; R is fourth to the right of L. Who is at the immediate right of T?
Explanation
Number the positions 1 to 7 from left to right. Since L is "third to the left of B" and is at an end, L = position 1 and B = position 4 (L + 3).
R is fourth to the right of L: R = 1 + 4 = position 5.
A is between B and Z: since position 5 is taken by R, A must sit on B's other side, so the order is Z(2), A(3), B(4).
Arrangement so far: L(1), Z(2), A(3), B(4), R(5), with T and P left for positions 6 and 7. Since T must be to the right of R(5), and the question asks who is immediately right of T (which only makes sense if T is not the last person), T = 6 and P = 7.
So the person immediately to the right of T is P.
R is fourth to the right of L: R = 1 + 4 = position 5.
A is between B and Z: since position 5 is taken by R, A must sit on B's other side, so the order is Z(2), A(3), B(4).
Arrangement so far: L(1), Z(2), A(3), B(4), R(5), with T and P left for positions 6 and 7. Since T must be to the right of R(5), and the question asks who is immediately right of T (which only makes sense if T is not the last person), T = 6 and P = 7.
So the person immediately to the right of T is P.
Question 5
Eight friends with names P, Q, R, S, T, U, V and W are sitting on a bench and facing North. U is sitting between S and V; Q is sitting between W and P; T is third to the left of V; W is third left of R; V is sitting at one of the corners. Who is sitting immediate right of W?
Explanation
Number the 8 positions 1 to 8 left to right. Since V is at a corner and T is third to the left of V, V must be position 8 (position 1 would make T's position negative) -- so T = 8 - 3 = position 5.
U is between S and V(8), so U = 7 and S = 6.
W is third left of R: R = W + 3. The remaining open positions are 1, 2, 3, 4 for P, Q, R, W. Taking W = 1 gives R = 4, which fits within the remaining positions.
Q is between W(1) and P, so the order is W(1), Q(2), P(3), leaving R = 4 as already found.
Final arrangement: W(1), Q(2), P(3), R(4), T(5), S(6), U(7), V(8). The person immediately to the right of W(1) is Q(2).
U is between S and V(8), so U = 7 and S = 6.
W is third left of R: R = W + 3. The remaining open positions are 1, 2, 3, 4 for P, Q, R, W. Taking W = 1 gives R = 4, which fits within the remaining positions.
Q is between W(1) and P, so the order is W(1), Q(2), P(3), leaving R = 4 as already found.
Final arrangement: W(1), Q(2), P(3), R(4), T(5), S(6), U(7), V(8). The person immediately to the right of W(1) is Q(2).
Question 6
In a line, A sits 12th from the left. B is sitting 20th from the right and 5th to the left of A. How many people are sitting in the line?
Explanation
B is 5th to the left of A, and A is 12th from the left, so B is at position 12 - 5 = 7th from the left.
B is also 20th from the right. Total people in the line = (position from left) + (position from right) - 1 = 7 + 20 - 1 = 26.
B is also 20th from the right. Total people in the line = (position from left) + (position from right) - 1 = 7 + 20 - 1 = 26.
Question 7
Eight persons P, Q, R, S, T, U, V, and W are sitting around a circular table facing the centre. Two persons sit between Q & W. V sits immediate left of W. Three persons sit between S & T. R sits immediate left of T. U is not the neighbour of P. One person sits between P & Q. Which of the following statements is correct?
Explanation
Placing the eight seats clockwise starting from Q and working through the clues gives one arrangement satisfying every condition: Q, S, P, W, V, T, R, U (in clockwise order).
Check: two persons (S, P) sit between Q and W going clockwise; V is immediately left of W; three persons (P, W, V) sit between S and T going clockwise; R is immediately left of T; U (next to R and Q) is not a neighbour of P (whose neighbours are S and W); and one person (S) sits between P and Q.
In this arrangement, going the short way from S to U (through Q), exactly one person -- Q -- sits between S and U. So "one person sits between S & U" is the correct statement.
Check: two persons (S, P) sit between Q and W going clockwise; V is immediately left of W; three persons (P, W, V) sit between S and T going clockwise; R is immediately left of T; U (next to R and Q) is not a neighbour of P (whose neighbours are S and W); and one person (S) sits between P and Q.
In this arrangement, going the short way from S to U (through Q), exactly one person -- Q -- sits between S and U. So "one person sits between S & U" is the correct statement.
Question 8
Six friends P, Q, R, S, T and U are sitting around a hexagonal table, each at one corner, facing the centre. P is second to the left of U. Q is neighbour of R and S. T is second to the left of S. Which one is sitting opposite to S?
Explanation
Since Q is neighbour of both R and S, R-Q-S must be three consecutive seats (in that order).
Placing S, Q, R at three consecutive corners and using T = second-to-the-left-of-S and P = second-to-the-left-of-U to fill in the remaining corners gives the clockwise order: S, U, T, P, R, Q.
On a hexagonal table, the person opposite a given corner is 3 seats away. Counting 3 seats clockwise from S (S → U → T → P) lands on P, so P sits opposite S.
Placing S, Q, R at three consecutive corners and using T = second-to-the-left-of-S and P = second-to-the-left-of-U to fill in the remaining corners gives the clockwise order: S, U, T, P, R, Q.
On a hexagonal table, the person opposite a given corner is 3 seats away. Counting 3 seats clockwise from S (S → U → T → P) lands on P, so P sits opposite S.
Question 9
Five friends P, Q, R, S, and T are sitting in a row facing north. S is between T & Q and Q is to the immediate left of R. P is to the immediate left of T. Who is sitting at the extreme left end?
Explanation
Since S is between T and Q, and Q is immediately left of R, and P is immediately left of T, the five friends chain together as: P, T, S, Q, R (left to right).
Check: S is between T and Q ✓, Q is immediately left of R ✓, P is immediately left of T ✓.
The person at the extreme left end is P.
Check: S is between T and Q ✓, Q is immediately left of R ✓, P is immediately left of T ✓.
The person at the extreme left end is P.
Question 10
A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position is B sitting?
Explanation
E is at the left end (position 1) and C is second from the right (position 4).
Since A sits next to both B and C, the three form a consecutive block B-A-C, with A adjacent to C(4), so A = 3 and B = 2.
D must sit next to C but not next to E, so D takes the remaining seat, position 5 (not position 3, which is taken).
Final order: E(1), B(2), A(3), C(4), D(5). B is between E and A.
Since A sits next to both B and C, the three form a consecutive block B-A-C, with A adjacent to C(4), so A = 3 and B = 2.
D must sit next to C but not next to E, so D takes the remaining seat, position 5 (not position 3, which is taken).
Final order: E(1), B(2), A(3), C(4), D(5). B is between E and A.
Question 11
Five persons A, B, C, D & E are sitting on a bench. A is immediately to the left of C. E is immediately to the left of D and to the right of A. D is to the left of B. Which person is sitting in the middle of the bench?
Explanation
A is immediately left of C, so A(1), C(2). E is immediately left of D and to the right of A, so E(3), D(4). D is to the left of B, so B(5).
Order: A(1), C(2), E(3), D(4), B(5). The middle position (3) is E.
Order: A(1), C(2), E(3), D(4), B(5). The middle position (3) is E.
Question 12
In a circular arrangement of 5 persons facing the centre, A is sitting between B and C, D is sitting immediate right of C, and E is sitting immediate left of B. Who is sitting between D and B?
Explanation
Since everyone faces the centre, "left" corresponds to the clockwise direction and "right" to counter-clockwise.
Let A be at seat 1, with B and C as A's two neighbours: B = 2, C = 5. D (immediate right, i.e. counter-clockwise, of C) = 4. E (immediate left, i.e. clockwise, of B) = 3.
Order (clockwise): A(1), B(2), E(3), D(4), C(5). Going the short way from D(4) to B(2), the seat in between (3) is E.
Let A be at seat 1, with B and C as A's two neighbours: B = 2, C = 5. D (immediate right, i.e. counter-clockwise, of C) = 4. E (immediate left, i.e. clockwise, of B) = 3.
Order (clockwise): A(1), B(2), E(3), D(4), C(5). Going the short way from D(4) to B(2), the seat in between (3) is E.