Understanding the Clues
We need to arrange six people (P, Q, R, S, T, U) in a row facing north based on the given conditions.
- Clue 1: P is second to the left of S. (Relative order: P _ S)
- Clue 2: P is third to the right of U. (Relative order: U _ _ P)
- Clue 3: Two people sit between R and Q. (This implies a gap of 3 positions between R and Q)
- Clue 4: Q is not a neighbour of S.
Deducing Fixed Positions
Combining Clue 1 and Clue 2 establishes a relative sequence. If P is third to the right of U, and P is second to the left of S, the order must be U _ _ P _ S.
Considering 6 positions in the row (1 to 6, left to right):
- The sequence U _ _ P _ S requires 6 slots.
- This means U is at position 1, P is at position 4 (1+3), and S is at position 6 (4+2).
- So, the arrangement is: $U _ _ P _ S$
Placing Q, R, and T
The people left to be placed are Q, R, and T. The available positions are 2, 3, and 5.
- From Clue 3, there are two people between R and Q. This means their positions must differ by 3. The only pair of available positions {2, 3, 5} that differs by 3 is (2, 5).
- Therefore, Q and R must be in positions 2 and 5.
- From Clue 4, Q cannot be next to S. Since S is at position 6, Q cannot be at position 5.
- This means Q must be at position 2, and R must be at position 5.
- The remaining person, T, must be in the only remaining position, which is 3.
Final Arrangement and Answer
The complete arrangement from left to right is: U Q T P R S
- Position 1: U
- Position 2: Q
- Position 3: T
- Position 4: P
- Position 5: R
- Position 6: S
The question asks who sits to the immediate left of P. P is at position 4. The position immediately to the left is position 3.
The person sitting at position 3 is T.
Similar Questions
- Seven people, A, B, C, T, U, V and W are sitting in a row, facing north. No one sits to the left of V. Only four people sit between V and B. Only three people sit to the right of C. A sits to the immediate left of W. T is not an immediate neighbour of C. Who sits at the rightmost end of the line?
- A, B, C, D and E are sitting in a row facing towards south (not necessarily in the same order). A is to the immediate right of C. Only two persons are sitting between A and B and B is not the neighbour of E.
Who is sitting to immediate right of A? - Seven people, A, B, C, D, P, Q and R, are sitting in a row, facing north.
Only two people sit to the left of B. Only three people sit between B and Q. Only one person sits between Q and P. D sits to the immediate left of C. R is not an immediate neighbour of Q.
How many people sit to the right of A? - Seven people, I, J, K, L, U, V and W are sitting in a row, facing north.
No one sits to the left of V. Only four people sit between V and I. Only three people sit to the right of K. J sits to the immediate left of W. L is not an immediate neighbour of K.
Who sits at the rightmost end of the line? - Seven people, I, J, K, L, M, N and O are sitting in a row, facing north. Only two people sit between J and I. Only M sits to the right of K. Only one person sits between I and K. O sits at some place to the right of L but at some place to the left of N. How many people sit between N and L?
- Seven people, A, B, C, D, P, Q and R, are sitting in a row, facing north.
Only three people sit to the left of R. Only A sits to the right of C. Only three people sit between C and Q. B sits at some place to the left of P but at some place to the right of D.
How many people sit between D and P? - Seven friends S1, S2, S3, S4, S5, S6 and S7 are sitting in a row facing towards north (not necessarily in the same order). S4 does not sit at any of the extreme ends. Only three friends sit between S5 and S7. Only two friends sit between S3 and S5. Both S5 and S7 do not sit at any of the extreme ends. S2 sits in the middle of the row.
Who are the neighbours of S2? - Six persons A, B, C, D, E and F are sitting in a row facing towards north (not necessarily in the same order). Their ages are in successive multiple of 3 from left to right end. B is second to the right of A. A is to the immediate left of E. Only three persons sit between C and F. The age of D is 18 years and the maximum. C sits to the left of E. What is the total age of A and B?
- Eight soldiers A, B, C, D, E, F, G and H are sitting in a row facing towards north (not necessarily in the same order). D sits third to the right of A and second to the left of C. Only three soldiers sit between D and E. Only two solders sit between E and F. F sits second to the left of B. A is the neighbour of G. H sits to the right of D. How many soldiers are sitting between H and G?
- Study the given information carefully and answer the question that follows.
Eight persons A, B, C, D, E, F, G and H are sitting in a row facing the north but not necessarily in the same order. Three persons are sitting between D and F. G is sitting to the immediate left of D. Only one person is sitting between E and B. E is not sitting at any of the extreme ends. More than three persons are sitting between H and A. A is sitting to the left of H. Either H or A is sitting at one of the ends. Neither D nor F is sitting at any of the extreme ends. E and B are not the immediate neighbours of G and D. E is sitting to the right of B.
How many persons are sitting between H and C?
Important Questions from Linear Arrangement
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.
Question: How many people are standing in the row where all people are facing north?
Statements:
(I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.
(II) M is fourth from the right end; only two people Stand between M and B.
