Question

There are four Trees - Lemon, Coconut, Mango and Neem each 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.Which of the following pairs can be diagonally opposite to each other in the plot ?

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

Answer 1

The Correct Option is A

The problem involves determining which trees and structures are located at specific corners of a rectangular plot based on the given constraints.

1. The plot is rectangular with four corners. Assume the corners are A, B, C, and D. 
2. There is a well at one corner and a cabin at another. Let's assume initially:
   • Well at corner A
   • Cabin at corner C
3. The Lemon and Coconut trees are on either side of a gate located at the center of the side opposite to the side where the well and cabin are. Therefore, the Lemon and Coconut trees are on the line joining corners B and D.
4. The Mango tree cannot be where the cabin is, so it's not at corner C.

Based on these facts, we can deduce:

• If the well is at corner A, the cabin is at corner C, Mango can only be at corner B or D.
• If Mango is at corner B, Lemon and Coconut must be between B and D, leaving Neem at corner D. This follows all given constraints.

 

Let's check:

• Opposite A (Well) and C (Cabin) are not both trees.
• Mango tree is not at the same corner as the cabin.
• Coconut and Lemon are between B and D, matching their description: neither at a corner.

 

Thus, the Lemon tree is at one diagonal corner and the Neem tree at the opposite corner. Therefore, Neem tree and Lemon tree can be diagonally opposite to each other.

None of the other options meet all the conditions required by the problem, so they can be ruled out.