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.
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?
- A.
Coupe
- B.
Convertible
- C.
SUV
- D.
Sedan
- E.
None of these
Attempted by 7 students.
Show answer & explanation
Correct answer: C
Concept
In a linear (purchase-order) arrangement, pin down the people one by one using the fixed-gap and 'as many before/after' clues, then place the cars. A 'three persons before' clue means an exact gap of 3 places; 'as many bought before X as after Y' equates a count from the left of X to a count from the right of Y; 'two persons between' means a gap of exactly 3 places between the two items.
Building the arrangement
'Sedan was bought three persons before F' fixes Sedan at place 1 and F at place 4 (the only gap-3 fit that lets the later clues hold).
'As many bought before F as after the Hatchback buyer': 3 people are before F, so 3 people are after Hatchback, placing Hatchback at place 3.
'Two persons between Hatchback and SUV' is a gap of 3, so SUV sits at place 6.
'Coupe two places after A and immediately before Convertible', together with 'Convertible after D and before B', forces Coupe at place 4 and Convertible at place 5, so A is at place 2.
'E immediately before A' puts E at place 1, and 'E before the SUV buyer' is satisfied. D (before Convertible) takes place 3 and B (after Convertible) takes place 6; C fills place 5.
Final order (place: person - car)
Place | Person | Car |
|---|---|---|
1 | E | Sedan |
2 | A | Limousine |
3 | D | Hatchback |
4 | F | Coupe |
5 | C | Convertible |
6 | B | SUV |
Applying the relationship
Read the pattern from the two given pairs. A is at place 2 and the car at the next place (3) is Hatchback, so 'A is related to Hatchback' holds. E is at place 1 and the car at the next place (2) is Limousine, so 'E is related to Limousine' holds. The rule is therefore: each person is related to the car bought by the person who came immediately after them.
Applying this to C: C is at place 5, and the car bought at the next place (6) is SUV. Hence C is related to SUV.
Cross-check
Re-verify every clue against the final order: Sedan(1) is exactly 3 places before F(4); 3 people precede F and 3 follow Hatchback(3); SUV(6) and Hatchback(3) have two people between them; Coupe(4) is two places after A(2) and immediately before Convertible(5); Convertible(5) is after D(3) and before B(6); E(1) is immediately before A(2) and before SUV(6). Every clue fits the single valid arrangement, confirming the result.