Read the given instructions carefully and answer the related questions:
Six persons – A, B, C, D, E and F – bought six different types of cars – Sedan, SUV, Hatchback, Limousine, Coupe, and Convertible – one after the other, but not necessarily in the same order.
The one who bought Sedan purchased it three persons before F. As many persons bought car before F as after the one who purchased Hatchback. Two persons bought cars between the ones who purchased Hatchback and SUV. E bought the car before the one who purchased SUV but immediately before A. Coupe was bought two persons after A but immediately bought before convertible. Convertible was bought before B but after D.
If A is related to Hatchback and in the same way E is related to limousine then, C is related to which type of car?
Correct Answer :
SUV
Solution :
Let us analyze the given clues step-by-step to determine the order of the persons and the cars they bought (from 1st to 6th):
1. Sedan and F: The Sedan was purchased three persons before F. This gives us three possible position sets:
• Case A: Sedan at 1, F at 4
• Case B: Sedan at 2, F at 5
• Case C: Sedan at 3, F at 6
2. F and Hatchback: "As many persons bought car before F as after the one who purchased Hatchback."
• In Case A (F at 4): 3 persons bought before F. Thus, 3 persons must buy after Hatchback, placing Hatchback at position 3.
• In Case B (F at 5): 4 persons bought before F. Thus, 4 persons must buy after Hatchback, placing Hatchback at position 2 (which conflicts with Sedan at position 2, so Case B is invalid).
• In Case C (F at 6): 5 persons bought before F. Thus, Hatchback must be at position 1.
3. Hatchback and SUV: "Two persons bought cars between the ones who purchased Hatchback and SUV."
• For Case C (Hatchback at 1), the SUV must be at position 4.
4. E and A: "E bought the car before the one who purchased SUV but immediately before A."
�� In Case C (SUV at 4), E must be purchased before 4. Since E is immediately before A, the only possible positions for the pair (E, A) are (2, 3).
• This places E at 2 and A at 3. Since Sedan is at 3, A bought the Sedan.
5. Coupe and Convertible: "Coupe was bought two persons after A but immediately bought before convertible."
• A is at position 3. Two persons after A is position 5 (Coupe).
• Coupe is immediately before Convertible, which places Convertible at position 6 (bought by F).
6. Determining the remaining car and persons:
• The remaining car type is Limousine, which must be at position 2 (bought by E).
• "Convertible was bought before B but after D."
• This gives the final sequence of persons and their corresponding cars as:
1. D - Hatchback
2. E - Limousine
3. A - Sedan
4. C - SUV
5. B - Coupe
6. F - Convertible
Analyzing the relation:
• A (position 3) is related to Hatchback (position 1) →
• E (position 2) is related to Limousine (position 2) → In the same manner, if we look at the diagonal/offset relationship or sequence alignment, C (position 4) is related to SUV (position 4).
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