Six boxes P, Q, R, S, T, U are placed in a row. P is not at either end. Q is to the immediate left of R. T is at one of the ends but is not next to S. S is second to the left of U. P is between Q and S. How many boxes are to the right of R?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option A — 1
Detailed Solution
Q and R sit together (Q R), and U is two places to the right of S (S _ U).
Suppose Q R is to the left of S. The shortest possible row is Q R P S _ U — six seats, with the gap at seat 5. Only T is left for that gap, but T must be at an end ✗. So S is to the left of Q.
P is between S and Q, so P fills the gap: S P U Q R. That uses five seats, and T takes the free end: T S P U Q R or S P U Q R T.
T is not next to S, which rules out T S P U Q R.
Final order (left to right): S, P, U, Q, R, T.
Answer: Only T is to the right of R, so 1 box.
Quick tip
Lock the Q R pair and the S _ U gap first, then test which end T can take.
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Linear Arrangement — MAH CET BBA BMS BCA BHMCT Preparation
This question tests your understanding of Linear Arrangement, a key topic in the MAH CET BBA BMS BCA BHMCT Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Linear arrangement questions ask you to place a set of people or objects in a straight line based on given conditions. These questions appear frequently in MAH CET UG and MCA CET reasoning sections. Master the technique of drawing a quick grid and filling it constraint-by-constraint to solve these in under 90 seconds each.