CAT 2020 Slot 2 — DILR Question 8
Answer the next 4 questions based on the information given below.
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:
- Two adjacent beads along the same row or column are always of different colors.
- There is at least one Green bead between any two Blue beads along the same row or column.
- 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.
Two Red beads have been placed in ‘second row, third column’ and ‘third row, second column’. How many more Red beads can be placed so as to maximize the number of Red beads used in the configuration?
Answer & solution
Answer: 6
According to the information given in the questions:
To maximum the number of red beads we can place the remaining beads in the following manner.
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∴ Maximum 6 more red beads can be placed.
Hence, 6.