There are five people – Peter, Tyson, Richard, Steve and Quinn – standing in a row

There are five people – Peter, Tyson, Richard, Steve and Quinn – standing in a row. Given the following statements, who is on the rightmost position? 1. Peter is next to Quinn and Steve is next to Richard. 2 Steve is not next to Tyson. 3. Tyson is on leftmost position. 4. Richard is on the second position from the right. 5. Peter stands somewhere to the right of both Quinn and Tyson. 6. Peter and Richard are next to each other. Pick ONE option

The Correct Answer and Explanation is :

Answer: Steve is in the rightmost position.

Explanation:

We are tasked with determining the arrangement of five people: Peter, Tyson, Richard, Steve, and Quinn. Let us analyze the given statements systematically.

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Step 1: Fixed Positions

1. Statement 3: “Tyson is on the leftmost position.”
   This fixes Tyson at position 1.

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Step 2: Richard’s Position

2. Statement 4: “Richard is on the second position from the right.”
   With five people, the second position from the right is position 4. Hence, Richard is fixed at position 4.

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Step 3: Peter’s Position Relative to Quinn and Tyson

3. Statement 5: “Peter stands somewhere to the right of both Quinn and Tyson.”
   Tyson is in position 1, so Peter must be in position 3, 4, or 5. However, Richard occupies position 4, so Peter must be in position 3 or 5.

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Step 4: Relationships Between People

4. Statement 1: “Peter is next to Quinn, and Steve is next to Richard.”
   If Peter is in position 3, Quinn must be in position 2 to be “next to Peter.”
   If Steve is “next to Richard” (position 4), then Steve must be in position 5. This fits perfectly.

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Step 5: Steve and Tyson

5. Statement 2: “Steve is not next to Tyson.”
   If Quinn is in position 2, and Peter is in position 3, this ensures Steve (in position 5) is not adjacent to Tyson (in position 1).

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Step 6: Peter and Richard Are Next to Each Other

6. Statement 6: “Peter and Richard are next to each other.”
   With Peter in position 3 and Richard in position 4, they satisfy this condition.

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Final Arrangement:

1. Tyson
2. Quinn
3. Peter
4. Richard
5. Steve

Thus, Steve is in the rightmost position.