Question

There are four trees, namely, Lemon Tree, Coconut Tree, Mango Tree and Neem Tree each of which is at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. Lemon and Coconut trees are on either side of the gate, which is located at the centre of side, opposite to the side, extremes of which the well and cabin are located. The Mango tree is not at the corner where the cabin is located. Determine as to which of the following pairs can be diagonally opposite to each other in the plot?

• A. Mango tree and well
• B. Neem tree and Lemon tree
• C. Neem tree and Mango tree
• D. Well and Neem tree
• E. Coconut tree and Lemon tree

Hint:

Draw a rectangle and assign positions based on given conditions to visualize spatial arrangement problems.

Answer 1

The Correct Option is B

Step 1: Visualizing the Setup:
Consider a rectangle with corners labeled: Let's name the corners as positions 1, 2, 3, and 4 in order.
The well and cabin are at extremes of one side. Let this be the left side. So, well at top-left corner, cabin at bottom-left corner.
The gate is at the center of the opposite side (right side).

Step 2: Placing the Trees:
Lemon and Coconut trees are on either side of the gate. Since the gate is at the center of the right side, these two trees occupy the two corners on the right side.
So, Lemon and Coconut are at top-right and bottom-right corners (order unknown).
The remaining two corners are top-left (well) and bottom-left (cabin). These are occupied by Mango and Neem.
Mango is not at the cabin corner, so Mango must be at the well corner (top-left), and Neem at the cabin corner (bottom-left).

Step 3: Determining Diagonal Pairs:
Corners:
Top-left: Well and Mango
Top-right: Either Lemon or Coconut
Bottom-right: The other of Lemon/Coconut
Bottom-left: Cabin and Neem
Diagonally opposite pairs:
(Top-left, Bottom-right): Well/Mango with (Lemon/Coconut)
(Top-right, Bottom-left): (Lemon/Coconut) with Cabin/Neem
The pair that matches the options is Neem tree and Lemon tree (if Lemon is at top-right, Neem at bottom-left, they are diagonally opposite).