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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. The sixth largest three-digit odd number among those with all digits distinct is
  2. A transformation experiment is performed with two Pneumococcal strains. One strain is resistant to four drugs - A, B, C, and D, whereas the other is sensitive to all the drugs. Both strains are mixed and the mixture is plated on media containing various combinations of the drugs. The colonies obtained on these plates are given below:
    Drugs added No. of colonies Drugs added No. of colonies
    A 1156 CD 786
    B 1148 ABC 30
    C 1161 ABD 42
    D 1139 ACD 630
    AB 46 BCD 36
    AC 640 ABCD 30
    AD 942
    BC 51

    Based on the above results, which one of the below options represents the most likely order of the drug-resistance genes?
  3. 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. Q has an exam on Thursday and U has an exam on Saturday. T has an exam immediately before S. P has an exam on one of the days after V. R has an exam immediately after S. How many people have exams between R and P?

  4. Among five people of different ages, P is older than R. L is younger than M. R is older than Y. M is younger than Y. Who is the youngest?
  5. 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?
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