Each of the following questions is based on the following information: 8 trees…

2024

Each of the following questions is based on the following information: 8 trees — mango, guava, papaya, pomegranate, lemon, banana, raspberry, and apple — are arranged in two rows of 4 each, facing North and South. Lemon is between mango and apple but just opposite to guava. Banana is at one end of a line and is just to the right of guava (i.e., the banana tree comes immediately after the guava tree). Raspberry, which is at one end of a line, is diagonally opposite to mango tree. Which tree is just opposite to banana tree?

Answer: A. MangoConcept: In a two-row facing arrangement puzzle, relational clues like 'opposite', 'diagonally opposite', 'at one end', and 'adjacent to' describe RELATIVE…

  1. A.

    Mango

  2. B.

    Pomegranate

  3. C.

    Papaya

  4. D.

    Data is inadequate

Attempted by 8 students.

Show answer & explanation

Correct answer: A

Concept:

In a two-row facing arrangement puzzle, relational clues like 'opposite', 'diagonally opposite', 'at one end', and 'adjacent to' describe RELATIVE positions — on their own, they can be satisfied by two mirror-image layouts (left-right flipped). The clues fix the relative STRUCTURE of the arrangement; matching that structure against the accompanying diagram (which fixes which physical end is which) pins down the actual placement. Within that diagram's frame: 'X opposite Y' = same column, different row; 'diagonally opposite' = opposite corner cells (meaningful only when both trees sit at row-ends); 'adjacent to' = neighbouring column, same row.

Application (step by step):

  1. Lemon is between mango and apple: these three sit consecutively in one row with Lemon in the middle — Mango-Lemon-Apple, or its mirror Apple-Lemon-Mango — occupying three of that row's four columns.

  2. Raspberry is at one end, diagonally opposite mango: a diagonal-opposite pairing only works between corner cells, so Mango itself must sit at an end of its row. Of the two mirror options from step 1, only Mango-Lemon-Apple keeps Mango at a corner (column 1) — this is exactly the layout the accompanying diagram shows: Mango at column 1, Lemon at column 2, Apple at column 3 (column 4 of this row is one of Papaya/Pomegranate, still undetermined).

  3. With Mango fixed at column 1, its diagonal-opposite corner is column 4 of the other row, so Raspberry occupies column 4 of the Guava/Banana row — matching the diagram.

  4. Lemon is opposite Guava: Guava must sit in the same column as Lemon — column 2 — of the other row, as shown.

  5. Banana is at one end of that row and adjacent to Guava (column 2): the row's two ends are columns 1 and 4; column 4 is already taken by Raspberry, so Banana occupies the remaining end, column 1 — adjacent to Guava's column 2, matching the diagram.

  6. The two remaining trees, Papaya and Pomegranate, fill the two leftover slots — column 4 of Mango's row and column 3 of Banana's row; the clues (and the diagram) leave this particular pair unresolved, but neither slot is column 1, so it never touches Banana's column.

  7. Reading off the fixed grid: Banana's row = Banana, Guava, (Papaya/Pomegranate), Raspberry; Mango's row = Mango, Lemon, Apple, (Papaya/Pomegranate). Banana (column 1) sits directly opposite Mango (column 1).

Cross-check:

Verify the diagram's layout against every clue: Lemon is between Mango and Apple (yes); Raspberry is at an end, diagonally opposite Mango (yes — both at the column-1/column-4 corners); Lemon is opposite Guava (yes); Banana is at an end and adjacent to Guava (yes). All four clues hold, and this is the only layout (up to the harmless Papaya/Pomegranate swap) consistent with them — so the tree directly opposite Banana is Mango.

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