Read the given instructions carefully and answer the related questions: Six…
2025
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.
Who among the following bought the Limousine?
- A.
E
- B.
B
- C.
C
- D.
D
- E.
A
Show answer & explanation
Correct answer: E
Concept
In a linear order puzzle the people buy one after another over six fixed slots (1 = first, 6 = last). The trick is to anchor the most rigid clue first – a fixed gap or an “as many … as” count fixes absolute positions – and then let the relative clues (immediately before / after) chain off that anchor until every slot is forced.
Step-by-step deduction
Combine “Sedan buyer is three persons before F” (so F can only be at slot 4, 5 or 6) with “as many bought before F as after the Hatchback buyer,” which forces Hatchback to slot 7−F. F = 5 puts both Sedan and Hatchback at slot 2, a clash, so it is out. F = 6 puts Hatchback at slot 1 and SUV at slot 4, leaving the Coupe–Convertible pair (which must be adjacent) only slots 5–6; that makes the Convertible last, but “Convertible before B” then needs a buyer after the last slot, which is impossible, so F = 6 is out. Hence F = 4, Sedan = slot 1, and Hatchback = slot 3.
“Two persons between Hatchback and SUV” means a gap of three slots; from Hatchback at slot 3 this forces SUV at slot 6.
“Coupe is two persons after A and immediately before Convertible”: the only slot left consistent with the placed cars is Coupe at slot 4, so A is at slot 2 and Convertible at slot 5; the remaining car, Limousine, takes slot 2.
“E is immediately before A” puts E at slot 1; “Convertible (slot 5) is after D and before B” puts D before slot 5 and B after it, and F already holds slot 4, leaving D at slot 3, C at slot 5 and B at slot 6.
The Limousine sits at slot 2, which is occupied by A, so A bought the Limousine.
Cross-check
Slot | Person | Car |
|---|---|---|
1 | E | Sedan |
2 | A | Limousine |
3 | D | Hatchback |
4 | F | Coupe |
5 | C | Convertible |
6 | B | SUV |
Every clue holds against this single arrangement, so the Limousine buyer is A.