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CAT Introduction to Linear and Circular Arrangement - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:47 PM | #CAT

Quick Facts

  • 10 Questions around this concept.

Solve by difficulty

Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the top end of the stick having grey colour at the bottom end ?

Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick opposite the stick with blue colour at the bottom end ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

Which of the following cannot be the couple according to the conditions of the arrangement ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

Who is married to D ?

Directions for question:

A to H are four married couples in no specific order who are sitting around a round table equidistant from each other, all facing the centre of the table, such that neither any couple nor any men are sitting next to each other. A is a man who is sitting opposite to G. E has both F and G as neighbours. H is to the immediate right of B. C and H belongs to the same gender and is not sitting opposite to each other. C and B is a couple and have two persons sitting in between them.

Question:

The two women who are neighbours are _____ ?

Concepts Covered - 1

Introduction to Linear and Circular Arrangement

Linear and Circular Arrangement is a type of data interpretation that deals with organizing and arranging data elements, often in the form of people, objects, or items, in linear or circular sequences. These arrangements are used to pose questions related to the positioning or ordering of elements. Both linear and circular arrangements involve understanding the spatial relationships among elements.

Key Components of Linear and Circular Arrangement:

  • Arrangement Structure: Linear arrangements involve arranging elements in a straight line, while circular arrangements involve arranging elements in a circular or ring-like fashion.
  • Positional Information: Data scenarios provide information about the positions of elements in the arrangement, including their relative positions, directions, and distances.

Interpreting Linear and Circular Arrangement:

  • Linear and circular arrangement scenarios require you to analyze positional information and draw conclusions about the order or placement of elements.

Example Linear Arrangement:

Let's consider an example of a linear arrangement to illustrate these concepts:

Scenario: Five friends—Alice, Bob, Carol, David, and Eve—are sitting in a row. We have the following information:

  • Alice is sitting to the immediate left of Bob.
  • Carol is sitting to the immediate right of Bob.
  • David is sitting to the immediate right of Eve.

Logical Questions:

  • Who is sitting in the middle of the row?
  • Who is sitting at one end of the row?
  • Who is sitting between Carol and David?

Answers:

  • Bob is sitting in the middle of the row.
  • Alice is sitting at one end of the row.
  • Eve is sitting between Carol and David.

Example Circular Arrangement:

Now, let's consider an example of a circular arrangement:

Scenario: Five friends—Amy, Ben, Chris, Dan, and Emma—are sitting in a circle. We have the following information:

  • Amy is sitting two seats to the left of Ben.
  • Chris is sitting three seats to the right of Dan.
  • Emma is sitting to the immediate left of Chris.

Logical Questions:

  • Who is sitting to the immediate right of Dan?
  • Who is sitting between Ben and Emma?

Answers:

  • Amy is sitting to the immediate right of Dan.
  • Chris is sitting between Ben and Emma.

Conclusion: Linear and Circular Arrangement data interpretation involves understanding the spatial relationships among elements in an ordered sequence. It requires you to analyze positional information and draw conclusions about the positioning or order of elements. Practicing these scenarios enhances your ability to arrange and analyze data effectively.

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