A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position A is sitting ? 

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Join A, B, C, D, and E on a bench adventure. A’s buddies with B and E, while C partners up with D. E’s on the left, and C’s second from the right. Where does A choose to sit in this cozy bench arrangement?

A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position A is sitting ?

A is sitting between B and C

Explanation

1. A is sitting next to B.

   • This implies that A and B are sitting side by side.

2. C is sitting next to D.

   • C and D are sitting next to each other.

3. D is not sitting with E, who is on the left end of the bench.

   • D and E are not sitting together, and E is on the left end.

4. C is on the second position from the right.

   • From the right end, the order is D, C, _, _, E.

5. A is to the right of B and E.

   • A is to the right of both B and E.

6. A and C are sitting together.

   • A and C are sitting side by side.

Now, combining the information:

• E is on the left end, so the order is E, _, _, _, _, _.
• C is on the second position from the right, so the order is E, _, _, _, C, _.
• A is to the right of B and E, and A and C are sitting together, so the order is E, _, _, _, C, A.
• A is to the right of B, so the order is E, _, _, B, C, A.

The final arrangement is:

E _ _ B C A

Therefore, A is sitting between B and C.

Linear Arrangement in Aptitude

Linear arrangement is a common topic in aptitude tests, particularly in logical reasoning sections. In linear arrangement problems, you are usually given a linear arrangement of objects, people, or elements, and you need to arrange or order them based on certain given conditions or constraints. The objective is to determine the relative positions of the elements in the given arrangement.

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Here are some key points and strategies to approach linear arrangement problems:

1. Understanding the Problem:

   • Carefully read the given information and conditions.
   • Identify the number of elements to be arranged and any specific order or conditions provided.

2. Drawing Diagrams:

   • Visualize the linear arrangement by drawing a diagram. It helps in understanding and solving the problem more effectively.
   • Use symbols or letters to represent the elements and their positions.

3. Using Clues and Conditions:

   • Pay close attention to any clues or conditions given in the problem.
   • Use the given information to make deductions about the relative positions of the elements.

4. Elimination Technique:

   • Eliminate options that violate the given conditions. This can help narrow down the possibilities.

5. Trial and Error:

   • In some cases, you may need to try out different possibilities to find the correct arrangement. Start with one possibility and adjust based on the given conditions.

6. Updating Information:

   • As you make progress in arranging the elements, update your diagram and make note of any new information that emerges.

7. Direction of Arrangement:

   • Pay attention to whether the arrangement is left to right or right to left. This is crucial for placing elements accurately.

8. Counting Positions:

   • Count the number of positions from one element to another. This can be helpful in verifying the accuracy of your arrangement.

Here’s a simple example to illustrate:

Problem: Five friends A, B, C, D, and E are sitting in a row. A is to the right of B, but to the left of C. D is to the right of E but to the left of B. Who is sitting in the middle?

Solution:

• Visualize the arrangement and start placing the elements based on the given conditions.
• Use the information to determine the position of each friend.
• In this case, the arrangement is B – A – C – D – E.
• Therefore, C is sitting in the middle.

Practice is key to improving your skills in solving linear arrangement problems. Work through various examples to become more comfortable with different types of conditions and arrangements.

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