CAT 2020 Question Paper | DILR Slot 2

CAT Questions

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. The questions in this Logical Reasoning set seen in CAT 2020 tests the idea of distributing objects in a grid, with a catch that the there is no one partiular arrangement. In this question we have a constraint that there can only be beads of two colour instead of the three given colours, lets see how we can set a grid based on this. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

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.

Question 1 : The total number of possible congurations using beads of only two colours is:

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Video Explanation

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Explanatory Answer

Since only 2 beads can be used, Red is automatically out as it requires at least 1 G and 1 B to be between 2 Rs
Given the condition that there can be no beads of the same colour adjacent to each other, we can have 1 of 2 arrangements: Either B in the corner or G in the corner
So only 2 arrangements are possible here (This can be concluded without actually drawing the grid, so a must attempt question)

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The question is "The total number of possible congurations using beads of only two colours is:"

Hence, the answer is, " 2"

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