Question 6

In a 5 x 5 grid having 25 cells, Janani has to enter 0 or 1 in each cell such that each sub square grid of size 2 x 2 has exactly three equal numbers. What is the maximum possible sum of the numbers in all the 25 cells put together?

Solution

Placing 0s at just the four cells (2,2), (2,4), (4,2), (4,4) and 1s everywhere else makes every one of the sixteen 2 by 2 sub grids contain exactly one 0, satisfying the condition with the minimum possible number of 0s. This gives a maximum sum of $$25-4=21$$.

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions

In a 5 x 5 grid having 25 cells, Janani has to enter 0 or 1 in each cell such that each sub square grid of size 2 x 2 has exactly three equal numbers. What is the maximum possible sum of the numbers in all the 25 cells put together?

Solution

Get AI Help

Other Cracku’s Useful Resources:

Free JEE Questions

50,000+ JEE Students Trusted Our Score Calculator

Download resources