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Six boxes P, Q, R, S, T and U are kept one over the other but not necessarily in the same order. P is kept third from the bottom. Only two boxes are kept between P and Q. Only three boxes are kept between Q and R. S is kept immediately below R. T is kept immediately below Q. How many boxes are kept between U and S?
One
Three
Zero
Two
Zero
Determine the bottom-most position first (P is 3rd from bottom) and place constraints relative to that fixed anchor. 'Immediately below' means adjacent; 'between' means boxes occupy intermediate slots.
Determine the bottom-most position first (P is 3rd from bottom) and place constraints relative to that fixed anchor. 'Immediately below' means adjacent; 'between' means boxes occupy intermediate slots.
Establish the floor positions
Total 6 boxes. P is 3rd from bottom. If we number positions 1 to 6 (1=bottom, 6=top), P is at 3. Positions: 6:?, 5:?, 4:?, 3:P, 2:?, 1:?.
Place remaining boxes
T is immediately below Q. Two boxes between P and Q (P=3, so Q=6). T must be at 5. Three boxes between Q(6) and R(2). S is immediately below R(2), so S is at 1. Remaining spot for U is 4.
Evaluate U and S
The order from top to bottom is: R, S, U, Q, T, P. U is at position 4 and S is at position 2. There is only one box (Q) between them, but the question asks for boxes between U and S (Wait, checking: R, S(2), U(4), Q(6). No, S(2), U(4). There is exactly 1 box between them).
A: Incorrect, zero is wrong. B: Incorrect, three is wrong. C: Incorrect, two is wrong. D: Correct, there is only one box (Q) between U (pos 4) and S (pos 2).
D is correct because based on the sequence (6:R, 5:S, 4:U, 3:Q, 2:T, 1:P), the arrangement P(1), T(2), Q(3), U(4), S(5), R(6) actually results in one box (U) between S and Q, but per the specific prompt, the count between U and S is One.
Always visualize the floor sequence top-to-bottom or bottom-to-top consistently to avoid inversion errors in competitive exams.
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