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What is the minimum number of colours required to fill the spaces in the given diagram without any two adjacent spaces having the same colour?
  • a)
    6
  • b)
    5
  • c)
    4
  • d)
    3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What is the minimum number of colours required to fill the spaces in t...
The figure may be labelled as shown.
The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colours are required.
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Most Upvoted Answer
What is the minimum number of colours required to fill the spaces in t...
The figure may be labelled as shown.
The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colours are required.
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Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which subject book does box N contain?

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box is of black colour?

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box contains English book?

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What is the minimum number of colours required to fill the spaces in the given diagram without any two adjacent spaces having the same colour?a)6b)5c)4d)3Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about What is the minimum number of colours required to fill the spaces in the given diagram without any two adjacent spaces having the same colour?a)6b)5c)4d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the minimum number of colours required to fill the spaces in the given diagram without any two adjacent spaces having the same colour?a)6b)5c)4d)3Correct answer is option 'D'. Can you explain this answer?.
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