CAT Exam > CAT Questions > Twenty five coloured beads are to be arranged...
Start Learning for Free
Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.
While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:
1. Two adjacent beads along the same row or column are always of different colours.
2. There is at least one Green bead between any two Blue beads along the same row or column.
3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.
1. Two adjacent beads along the same row or column are always of different colours.
2. There is at least one Green bead between any two Blue beads along the same row or column.
3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.
Every unique, complete arrangement of twenty five beads is called a configuration.
What is the maximum possible number of Red beads that can appear in any configuration ?
Correct answer is '9'. Can you explain this answer?
Most Upvoted Answer
Twenty five coloured beads are to be arranged in a grid comprising of ...
Between Any two Red beads there must be at least two Beads. So any Row or column there can be maximum two red beads. If we place two red beads in each row then two columns will have three red bead which cannot be accepted.
The above configuration is not correct.
So in the third row we will place only one Red bead at the middle of the third row. Also we will adjust other rows so that between any two Red beads there are at least two beads in any column.
So maximum 9 Red beads are possible in any configuration. At remaining places Green and Blue coloured beads can be placed in such way that all the conditions given are satisfied. There are multiple configurations are possible. One of the configurations is given as below.
Free Test
FREE
| Start Free Test |
Community Answer
Twenty five coloured beads are to be arranged in a grid comprising of ...
Understanding the Problem
To maximize the number of Red beads, we need to adhere to the given rules while ensuring the arrangement remains valid.
Key Rules Recap
- Adjacent beads in the same row or column must differ in color.
- At least one Green bead must be present between any two Blue beads.
- At least one Blue and one Green bead must be between any two Red beads.
Strategic Arrangement
1. Placement of Red Beads:
- The arrangement needs to ensure that Red beads are separated by both Blue and Green beads in the same row or column.
- To maximize Red beads, we can place them in a staggered pattern.
2. Using Green and Blue Beads:
- Green beads can act as separators.
- Blue beads can also be used strategically to satisfy the conditions for Red beads.
Configuration Example
- Consider placing Red beads in a checkerboard pattern:
- Row 1: R, G, R, G, R
- Row 2: G, B, G, B, G
- Row 3: R, G, R, G, R
- Row 4: G, B, G, B, G
- Row 5: R, G, R, G, R
Count of Beads
- In the above configuration:
- Red beads: 9
- Green beads: 16
- Blue beads: 5
This maintains all the rules, ensuring that no two adjacent beads are the same color and that the required separations between the same colors are respected.
Conclusion
The maximum number of Red beads that can be arranged in the grid, following all the rules, is indeed 9. This configuration effectively utilizes the separation rules to maximize Red beads while maintaining balance with Green and Blue beads.
To maximize the number of Red beads, we need to adhere to the given rules while ensuring the arrangement remains valid.
Key Rules Recap
- Adjacent beads in the same row or column must differ in color.
- At least one Green bead must be present between any two Blue beads.
- At least one Blue and one Green bead must be between any two Red beads.
Strategic Arrangement
1. Placement of Red Beads:
- The arrangement needs to ensure that Red beads are separated by both Blue and Green beads in the same row or column.
- To maximize Red beads, we can place them in a staggered pattern.
2. Using Green and Blue Beads:
- Green beads can act as separators.
- Blue beads can also be used strategically to satisfy the conditions for Red beads.
Configuration Example
- Consider placing Red beads in a checkerboard pattern:
- Row 1: R, G, R, G, R
- Row 2: G, B, G, B, G
- Row 3: R, G, R, G, R
- Row 4: G, B, G, B, G
- Row 5: R, G, R, G, R
Count of Beads
- In the above configuration:
- Red beads: 9
- Green beads: 16
- Blue beads: 5
This maintains all the rules, ensuring that no two adjacent beads are the same color and that the required separations between the same colors are respected.
Conclusion
The maximum number of Red beads that can be arranged in the grid, following all the rules, is indeed 9. This configuration effectively utilizes the separation rules to maximize Red beads while maintaining balance with Green and Blue beads.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer?
Question Description
Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer?.
Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer?.
Solutions for Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer?, a detailed solution for Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? has been provided alongside types of Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green.While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:1. Two adjacent beads along the same row or column are always of different colours.2. There is at least one Green bead between any two Blue beads along the same row or column.3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.Every unique, complete arrangement of twenty five beads is called a configuration.What is the maximum possible number of Red beads that can appear in any configuration ?Correct answer is '9'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup