In an Exhibition seven cars of different companies - Cadillac, Ambassador,…

2024

In an Exhibition seven cars of different companies - Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo are standing facing to east in the following order :

1. Cadillac is next to right of Fargo.

2. Fargo is fourth to the right of Fiat.

3. Maruti car is between Ambassador and Bedford.

4. Fiat which is third to the left of Ambassador, is at one end.

Which of the following groups of cars is to the right of Ambassador ?

  1. A.

    Cadillac, Fargo and Maruti

  2. B.

    Mercedes, Cadillac and Fargo

  3. C.

    Maruti, Bedford and Fiat

  4. D.

    Bedford, Cadillac and Fargo

Show answer & explanation

Correct answer: B

Concept

Linear-arrangement puzzles are solved by translating each relative clue ("third to the left of", "fourth to the right of", "next to the right of", "between") into a fixed position offset, anchoring the chain at any clue that pins an absolute end, then reading a "to the right of X" query directly off the completed line-up.

Application

  1. Fiat is third to the left of Ambassador (clue 4), and Fiat is at one end. Since Ambassador = Fiat + 3 must fit within 7 positions, Fiat must be the left-end car: position 1. So Ambassador is at position 4.

  2. Fargo is fourth to the right of Fiat (clue 2): position 1 + 4 = position 5.

  3. Cadillac is immediately to the right of Fargo (clue 1): position 6.

  4. Maruti sits between Ambassador and Bedford (clue 3). Only positions 2 and 3 remain to the left of Ambassador (besides position 7), so Bedford takes position 2 and Maruti takes position 3, placing Maruti between them.

  5. The one position left over, position 7, must hold Mercedes.

  6. The completed line-up, left to right, is: Fiat, Bedford, Maruti, Ambassador, Fargo, Cadillac, Mercedes.

Cross-check

  • Cadillac (position 6) is immediately right of Fargo (position 5) — clue 1 holds.

  • Fargo (position 5) is exactly four places right of Fiat (position 1) — clue 2 holds.

  • Maruti (position 3) lies between Bedford (position 2) and Ambassador (position 4) — clue 3 holds.

  • Fiat (position 1), third to the left of Ambassador (position 4), sits at the left end — clue 4 holds.

Positions 5, 6 and 7 — everything to the right of Ambassador at position 4 — are occupied by Fargo, Cadillac and Mercedes.

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