Amy, Tyrone, Nina, Jake, and Mandy are standing in line at the grocery store. Each one is wearing a different color shirt: red, green, orange, blue, and purple. Use the following information to answer the question(s).
Tyrone and Nina have only two people standing between them.
The person wearing the orange shirt is not standing next to Mandy or Nina.
Jake is wearing green.
Mandy is in line at some point after Jake.
The person wearing purple is either 2nd or 4th in line.
Nina and Mandy are standing next to each other.
Mandy is not wearing red.
The person wearing the orange shirt is first in line.
Tyrone is standing next to the person wearing green.
Amy cannot be first or last in line.
The correct answer and explanation is :
Based on the provided clues, the individuals are arranged in line as follows:
- Tyrone (Orange shirt)
- Jake (Green shirt)
- Amy (Red shirt)
- Nina (Purple shirt)
- Mandy (Blue shirt)
Explanation:
- Orange Shirt Position: The person wearing the orange shirt is first in line.
- Jake’s Shirt Color: Jake is wearing a green shirt.
- Tyrone’s Position Relative to Green Shirt: Tyrone is standing next to the person wearing green. Since the orange shirt is first, Tyrone must be first, and Jake (green shirt) must be second.
- Amy’s Position Constraints: Amy cannot be first or last in line. Therefore, she must be in position 3 or 4.
- Purple Shirt Position: The person wearing purple is either 2nd or 4th in line. Since Jake (green shirt) is 2nd, the purple shirt must be in position 4.
- Nina’s Position Relative to Tyrone: Tyrone and Nina have two people standing between them. With Tyrone in position 1, Nina must be in position 4.
- Mandy and Nina’s Proximity: Nina and Mandy are standing next to each other. Therefore, Mandy must be in position 5.
- Mandy’s Shirt Color: Mandy is not wearing red and must be standing after Jake. With Nina in position 4 (purple shirt), Mandy must be in position 5. The remaining color for Mandy is blue.
- Amy’s Shirt Color: The only remaining color for Amy in position 3 is red.