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Six students P, Q, R, S, T and U are sitting in a row facing North. P is third to the left of U. R is between Q and S. T is not at any end. If S is at the extreme right, who is sitting to the immediate left of R?
Q
T
P
U
Q
Place the fixed end element (S) first and use the R-between-Q-and-S clue to anchor the group towards the right end.
Place the fixed end element (S) first and use the R-between-Q-and-S clue to anchor the group towards the right end.
Establish the row and anchor S
There are 6 positions in a row. Since S is at the extreme right (position 6), the row looks like: _ _ _ _ _ S.
Place R, Q, and P
R is between Q and S, so the sequence is Q-R-S at positions 4, 5, 6. The row is: _ _ _ Q R S. P is third to the left of U. Placing U at position 3 makes P at position (3-3) which is impossible. Placing U at position 4 is blocked. Placing U at position 5 is blocked. Thus, U must be at position 4 is invalid; let us re-evaluate: If U is at 4, P is at 1. The remaining student T must be at 2. Row: PTUQ R S. T is not at any end (2 is not an end), which fits.
Verify constraints
Row: P(1), T(2), U(3), Q(4), R(5), S(6). P is 3rd to left of U (1 to 4 is gap of 3). R is between Q and S (Q=4, R=5, S=6). T is not at any end (T=2). All conditions met.
B: T is at position 2, not left of R. C: P is at position 1, not left of R. D: U is at position 3, not left of R.
A is correct because with the arrangement P-T-U-Q-R-S, Q is sitting at position 4, which is the immediate left of R at position 5.
In seating arrangements, always place the anchor (extreme end element) first, then fill the 'between' conditions to narrow down the remaining possibilities.
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