Question

Find the least numbers of soldiers in a regiment that can be arranged into hollow squares
5,6,7,8,9 and 10 deep and also into a solid square.

step by step ​

Answer 1

Answer:

Step-by-step explanation:

Given  

Find the least numbers of soldiers in a regiment that can be arranged into hollow squares 5,6,7,8,9 and 10 deep and also into a  

Given 5,6,7,8,9,10 hollow squares.

We need to find the LCM of these numbers in order to find the least number of soldiers.

So   2      5,6,7,8,9,10

       3       5,3,7,4,9,5

       5       5,1,7,4,3,5

                1,1,7,4,3,1

So we get 2 x 3 x 5 x 7 x 4 x 3 = 2,520      

Now total number of soldiers for hollow squares will be 2520. But for solid square the total number must be a perfect square since soldiers occupy the area in the square.

So  9 x 280 x 280 = 705600 are the least number of soldiers included in a regiment.