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CAT 2020 Question Paper (Slot 2) Question 38
Instructions

Twenty five coloured beads are to be arranged in a grid comprising of five rows and fiveĀ columns. Each cell in the grid must contain exactly one bead. Each bead is coloured eitherĀ Red, Blue or Green.Ā While arranging the beads along any of the five rows or along any of the five columns, theĀ 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 orĀ column.
3. There is at least one Blue and at least one Green bead between any two Red beadsĀ along the same row or column.

Every unique, complete arrangement of twenty five beads is called a configuration.

Question 38

What is the maximum possible number of Red beads thatĀ can appear in any configuration?


Correct Answer: 9

Solution

Maximum 9 red beads are possible as shown here


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