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Question

There are five boys P, Q, R, S and T sitting in a row facing North such that P is right of Q and T is left of R and right of P. Q is right of S. Which boy is in the middle of the row?

The correct answer is
P

Seating Arrangement Analysis

This question involves determining the seating order of five boys (P, Q, R, S, T) based on relative positional clues. All boys are facing North. Let's break down the clues to find the arrangement:

  • Clue 1: "P is right of Q" means Q is immediately to the left of P (since they face North). Arrangement: $Q P$
  • Clue 2: "T is left of R and right of P" means T is between P and R, with P to the left of T and T to the left of R. Arrangement: $P T R$
  • Clue 3: "Q is right of S" means S is immediately to the left of Q. Arrangement: $S Q$

Now, let's combine these partial arrangements:

  • From clue 1 and 2: $Q P T R$
  • Adding clue 3 ($S Q$) to the beginning: $S Q P T R$

So, the final seating order from left to right is S, Q, P, T, R.

Identifying the Middle Person

The row consists of five boys in the following order:

Left <-> Right:

S (Position 1) Q (Position 2) P (Position 3) T (Position 4) R (Position 5)

With five people in the row, the middle position is the 3rd spot. Looking at the arrangement $S Q P T R$, the boy in the 3rd position is P.

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Important Questions from Ordering and Ranking (Notes)

  1. Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line ?
  2. Each of P, Q, R, S, T, U and V has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. U has an exam on Friday. Only 2 people have exams between U and R. V has an exam immediately before Q and T has an exam immediately after S. Only 2 people have exams between P and Q. Who has an exam on Sunday?

  3. A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be
  4. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below E. Only one box is kept above D. Only one box is kept between D and B. G is kept immediately above C. F is kept at some place below A. How many boxes are kept below A?
  5. Among five toys in a store, toy V is taller than toy M, but not as tall as toy R. Toy J is taller than toy D, but shorter than toy M. Which toy is the tallest in the store?
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