At a buffet, six sweets are in a circular order on a table. Chocobar is…
2019
At a buffet, six sweets are in a circular order on a table. Chocobar is opposite to Doughnut. There is one sweet between Eclairs and Froyo. Icecream sandwich is to the immediate right of Doughnut. Kitkat is one of the sweets. Which sweet is second to the left of Icecream sandwich?
Answer: C. Kitkat — Concept: In a circular arrangement, "opposite" means half the seats away — with six seats, three seats away. Under the standard convention that the items face…
- A.
Eclairs
- B.
Froyo
- C.
Kitkat
- D.
Eclairs or Froyo
Show answer & explanation
Correct answer: C
Concept: In a circular arrangement, "opposite" means half the seats away — with six seats, three seats away. Under the standard convention that the items face the centre of the table, the clockwise direction runs to a seat's left and the anticlockwise direction to its right, so "second to the left" means two seats onward in the clockwise direction. A separation clue of the form "one item between X and Y" constrains the pair jointly and never says which of the two takes which seat. An item that is only named, with no separation, neighbour or opposite of its own, is located purely by elimination: it takes whatever seat the other clues leave empty.
Application: number the seats S1 to S6 clockwise around the table.
Place Doughnut at S1 (the circle has no fixed starting point, so this costs nothing).
Chocobar is opposite Doughnut, i.e. three seats away, so Chocobar is at S4.
Icecream sandwich is to the immediate right of Doughnut. Facing the centre, right is the anticlockwise neighbour, so Icecream sandwich is at S6.
The seats still free are S2, S3 and S5, and they must hold Eclairs, Froyo and Kitkat.
Apply "there is one sweet between Eclairs and Froyo" to those three free seats: S2 and S3 are adjacent (nothing between them); S2 and S5 have two seats between them on either arc; only S3 and S5 have exactly one seat between them, namely S4. So Eclairs and Froyo occupy S3 and S5 in some order.
Only S2 is left, so Kitkat sits at S2.
Icecream sandwich is at S6, and left runs clockwise: first to its left is S1, second to its left is S2. The sweet at S2 is Kitkat.
Cross-check: the result does not depend on the facing convention. If the sweets faced outward instead, so that right were the clockwise neighbour, Icecream sandwich would sit at S2, the free seats would be S3, S5 and S6, the separation clue would again force Eclairs and Froyo onto S3 and S5, Kitkat would take S6 — and second to the left of S2, now counted anticlockwise, is S1 then S6, which is Kitkat again. Note also that Eclairs and Froyo may swap between S3 and S5, but neither of those seats is the one being asked about, so the seat in question is not ambiguous and no combined "Eclairs or Froyo" answer is required.
Result: the sweet second to the left of Icecream sandwich is Kitkat.