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In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q

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Question: In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one end, which of the following is a possible arrangement?

Options:

  1. R, P, Q, S
  2. S, R, P, Q
  3. Q, P, R, S
  4. P, S, R, Q

Correct Answer: R, P, Q, S

Solution:

R can be at one end, and P must be next to Q, making R, P, Q, S a valid arrangement.

In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q

Practice Questions

Q1
In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one end, which of the following is a possible arrangement?
  1. R, P, Q, S
  2. S, R, P, Q
  3. Q, P, R, S
  4. P, S, R, Q

Questions & Step-by-Step Solutions

In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one end, which of the following is a possible arrangement?
  • Step 1: Identify the people involved: P, Q, R, and S.
  • Step 2: Understand the conditions: P must sit next to Q, and R must be at one end of the arrangement.
  • Step 3: Since R is at one end, we can place R in the first position.
  • Step 4: Since P must sit next to Q, we can place P and Q in the next two positions.
  • Step 5: The only person left is S, who will take the last position.
  • Step 6: The arrangement is now R, P, Q, S, which satisfies both conditions.
  • Linear Arrangement – Understanding how to arrange items in a straight line based on given conditions.
  • Adjacent Positioning – Recognizing the requirement for certain individuals to be next to each other.
  • End Positioning – Identifying the implications of having one individual at the end of the arrangement.
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